Draw-Descriptions (Maxima)

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Draw-Descriptions (Maxima) Draw-Descriptions (Maxima)

Optionen

Options

[Maxima Draw] adapt_depth (=10): maximale Teilungstiefe der adaptive Kurvenabtastung [Maxima Draw] adapt_depth (=10) maximum number of adaptive interval splits when drawing curves adapt_depth adapt_depth :

[Maxima Draw] axis_3d (=true): Achsen im 3D zeichnen, false: keine Achsen zeichnen [Maxima Draw] axis_3d (=true): draw 3D axes, false: don't draw axes axis_3d axis_3d :

[Maxima Draw]  axis_bottom (=true): untere Achse im 2D zeichnen, false: Achse nicht zeichnen [Maxima Draw]  axis_bottom (=true): draw bottom axis in 2D, false: don't draw axis axis_bottom axis_bottom :

[Maxima Draw] axis_top (=true): obere Achse im 2D zeichnen, false: Achse nicht zeichnen [Maxima Draw] axis_top (=true): draw top axis in 2D, false: don't draw axis axis_top axis_top :

[Maxima Draw] axis_left (=true): linke Achse im 2D zeichnen, false: Achse nicht zeichnen [Maxima Draw] axis_left (=true): draw left axis in 2D, false: don't draw axis axis_left axis_left :

[Maxima Draw] axis_right (=true): rechte Achse im 2D zeichnen, false: Achse nicht zeichnen [Maxima Draw] axis_right (=true): draw right axis in 2D, false: don't draw axis axis_right axis_right :

[Maxima Draw] background_color (=white): Hintergrundfarbe des Diagramms [Maxima Draw] background_color (=white): background color of the plot background_color background_color :

[Maxima Draw] border (=true): Ränder von polygon(), ellipse() oder rectangle() zeichnen [Maxima Draw] border (=true): draw borders of polygon(), ellipse() or rectangle() objects border border :

[Maxima Draw] cbrange (=auto): Farbbereich (Liste min,max) [Maxima Draw] cbrange (=auto): color bar range (list min,max) cbrange cbrange :

[Maxima Draw] cbtics (=auto): Marken an der Farblegende [Maxima Draw] cbtics (=auto): color bar tick marks cbtics cbtics :

[Maxima Draw] color (=blue): Farbe für Linien, Punkte, Kanten und Text, als Namen oder hexadezimal in der
Form  "#rrggbb" [Maxima Draw] color (=blue): color for lines, points, borders and text, given as name or as "#rrggbb" color color :

[Maxima Draw] colorbox (=true): Farblegende ohne Beschriftung zeichnen, false: keine Farblegende 
zeichnen, text: Farblegende mit text als Beschriftung zeichnen. [Maxima Draw] colorbox (=true): draw color scale without label, false: no colorbar, 
string: draw colorbar with string as label. colorbox colorbox :

[Maxima Draw] contour (=none): Art der Höhenlinien. none: keine, base: auf der xy-Ebene, surface: auf der
3D-Fläche, both: auf xy-Ebene und Fläche, map: auf xy-Ebene und Blickrichtung senkrecht. [Maxima Draw] contour (=none): contour lines. none: no contours, base: on xy plane, surface: on 3D surface, both:
on xy plane and surface, map: on xy plane plus vertical view. contour contour :

[Maxima Draw]  contour_levels (=5): Werte für die Höhenlinien. Anzahl oder Liste  (min, Δ, max), oder
set(L1, L2,...) mit Werten [Maxima Draw]  contour_levels (=5): contour levels. number oder list  (min, Δ, max), or
set(L1, L2,...) of values contour_levels contour_levels :

[Maxima Draw]  data_file_name (="data.gnuplot"): Kurvendaten für Gnuplot [Maxima Draw]  data_file_name (="data.gnuplot"): internal data file name for gnuplot data_file_name data_file_name :

[Maxima Draw]  delay (=5) Zeitschritt in animierten gif-Dateien [Maxima Draw]  delay (=5): time step in animted gif files delay delay :

[Maxima Draw]  dimensions (= 600 x 500): Liste [Breite,Höhe] [Maxima Draw]  dimensions (= 600 x 500) list [width, height] dimensions dimensions :

[Maxima Draw]  draw_realpart (=true) Realteil zur Darstellung komplexer Werte verwenden [Maxima Draw]  draw_realpart (=true) use real part for plotting complex values draw_realpart draw_realpart :

[Maxima Draw]  enhanced3d (=none) Farbpalette, none: 3D Flächen als Gitter zeichnen  
(Steuerung mit color und surface_hide), true: Farbe anhand des z-Werts, 
Liste  [f(x,y,z), x, y, z]: Farbe anhand der Funktion f,  
Liste [f(u,v),u,v]: Farbe anhand der Flächenparameter oder Liste [f(k), k ]: 
Farbe anhand der Punktnummer in points() Objekten [Maxima Draw]  enhanced3d (=none) don't use color palette, draw 3D surfaces as grid 
(control using color und surface_hide), true: coloring of surfaces by z-value, 
or  list  [f(x,y,z), x, y, z]: coloring according to function f or 
list [f(u,v),u,v]  or list [f(k), k ] (k being the point counter in points() objects) enhanced3d enhanced3d :

[Maxima Draw] error_type (=y) Art der Fehlerbalken in errors():  x, y, xy oder boxes [Maxima Draw] error_type (=y) type of error bars in errors():  x, y, xy or boxes error_type error_type :

[Maxima Draw] file_name (="maxima_out") Grafik-Ausgabedatei, Endung wird gemäß Ausgabeformat ergänzt [Maxima Draw] file_name (="maxima_out") output file, extension is set according to format file_name file_name :

[Maxima Draw] fill_color (=red) Füllfarbe für Objejte polygon() und  explicit() in 2D [Maxima Draw] fill_color (=red) fill color for polygons and explicit functions y(x) in 2D fill_color fill_color :

[Maxima Draw] fill_density (=0) Deckungsgrad der Füllfarbe in bars()-Objekten, zwischen 0 und 1 [Maxima Draw] fill_density (=0) opacity of the fill color in bars()-objects, 0..1 fill_density fill_density :

[Maxima Draw] filled_func (=false): explizite Funktionen y(x) werden nicht gefüllt,
true: Füllung bis zur Unterkante des Diagramms, g(x): Füllung zwischen g(x)
 und y(x) [Maxima Draw] filled_func (=false): don't fill explicit functions y(x),
true: fill between the next explicit() object and the bottom border of the diagram, g(x): fill
between g(x) and the next explicit() object filled_func filled_func :

[Maxima Draw] gnuplot_file_name (="maxout.gnuplot"): Kommandodatei für Gnuplot [Maxima Draw] gnuplot_file_name (="maxout.gnuplot"): name of the temporary gnuplot command file gnuplot_file_name gnuplot_file_name :

[Maxima Draw] gnuplot_term (): Ausgabe-Format-Spezifikation (Text nach "set terminal") [Maxima Draw] gnuplot_term (): gnuplot terminal options (arguments of "set terminal") gnuplot_term gnuplot_term :

[Maxima Draw] gnuplot_out_file (=maxplot.xxx) Ausgabedateiname (xxx abhängig vom Format) [Maxima Draw] gnuplot_out_file (=maxplot.xxx) output file name (xxx depends on terminal) gnuplot_out_file gnuplot_out_file :

[Maxima Draw] grid (=false): kein Gitterraster zeichnen, true: Gitter zeichnen [Maxima Draw] grid (=false): don't draw xy grid, true: draw grid grid grid :

[Maxima Draw] head_angle (=45) Pfeilwinkel an vector()-Objekten (halber Öffnungswinkel in °) [Maxima Draw] head_angle (=45): head angle of vector()-Objekten (angle between border and vector 
 direction in °) head_angle head_angle :

[Maxima Draw] head_both (=false) oder true: ob bei vector()-Objekten zwei Pfeilspitzen gezeichnet werden. [Maxima Draw] head_both (=false): don't draw a second head of vector() objects,
 true: draw a second head head_both head_both :

[Maxima Draw] head_length (=2) Länge der Pfeilspitze  bei vector()-Objekten in Einheiten der x-Achse [Maxima Draw] head_length (=2): head length of vector() objects in units of the x-axis head_length head_length :

[Maxima Draw] head_type (=filled) Spitzenform bei vector()-Objekten:  filled, empty  oder nonfilled [Maxima Draw] head_type (=filled) head type of vector() objects:  filled, empty  or nonfilled head_type head_type :

[Maxima Draw] ip_grid (={50, 50): Primäres Gitter für die Darstellung impliziter Funktionen,
als Liste angeben [Maxima Draw] ip_grid (={50, 50): primary grid for sampling of implicit functions, two-element list ip_grid ip_grid :

[Maxima Draw] ip_grid_in (={5, 5 ): Sekundäres Gitter für die Darstellung impliziter Funktionen [Maxima Draw] ip_grid_in (={5, 5 ): secondary grid for sampling of implicit functions ip_grid_in ip_grid_in :

[Maxima Draw] key (=""): Legendeneintrag für das nachfolgende Grafikobjekt. [Maxima Draw] key (=""): legend key for subsequent graphics object. key key :

[Maxima Draw] key_pos (="", entspricht top_right): Legendenposition. Gültige Werte: top_left, top_center, top_right, 
center_left, center, center_right, bottom_left, bottom_center, bottom_right [Maxima Draw] key_pos (="", equivalent to top_right): position of the legend. Valid options: top_left, top_center, top_right, 
center_left, center, center_right, bottom_left, bottom_center, bottom_right key_pos key_pos :

[Maxima Draw] label_alignment (=center), left oder right: horizontale Ausrichtung von Beschriftungen [Maxima Draw] label_alignment (=center), left or right: alignment of text labels label_alignment label_alignment :

[Maxima Draw] label_orientation (=horizontal) oder vertical: Ausrichtung von Texten [Maxima Draw] label_orientation (=horizontal) or vertical: orientation of text labels label_orientation label_orientation :

[Maxima Draw] line_type (=solid) Linienart. Alternativen: dots (für alle Formate) oder wenn von
Gnuplot unterstützt: dashes, short_dashes, short_long_dashes, short_short_long_dashes [Maxima Draw] line_type (=solid) line type. Other options: dots (for all formats) or if supported by
Gnuplot: dashes, short_dashes, short_long_dashes, short_short_long_dashes line_type line_type :

[Maxima Draw] line_width (=1) , >0 line_width line_width :

[Maxima Draw] logcb (=false) oder true: logarithmische Farbskale [Maxima Draw] logcb (=false) or true: log scale of the colorbar logcb logcb :

[Maxima Draw] logx (=false) oder true: logarithmische x-Achse [Maxima Draw] logx (=false) or true: log scale of x-axis logx logx :

[Maxima Draw] logx_secondary (=false) oder true: logarithmische zweite x-Achse [Maxima Draw] logx_secondary (=false) or true: log scale of secondary x-axis logx_secondary logx_secondary :

[Maxima Draw] logy (=false) oder true: logarithmische y-Achse [Maxima Draw] logy (=false) or true: log scale of y-axis logy logy :

[Maxima Draw] logy_secondary (=false) oder true: logarithmische zweite y-Achse [Maxima Draw] logy_secondary (=false) or true: log scale of secondary y-axis logy_secondary logy_secondary :

[Maxima Draw] logz (=false) oder true: logarithmische z-Achse [Maxima Draw] logz (=false) or true: log scale of z-axis logz logz :

[Maxima Draw] nticks (=29): Punktezahl für die Kurvenabtastung [Maxima Draw] nticks (=29): number of points for curve sampling (explicit and parametric) nticks nticks :

[Maxima Draw] palette (=color) Standard-Farbpalette, gray: Graustufen, 
Liste { Farbe1, Farbe2...  oder false: Flächen nicht färben [Maxima Draw] palette (=color) default color palette, gray: gray levels, 
list { color1, color2...  or false: don't color 3D objects palette palette :

[Maxima Draw] point_size (=1) Größe von points()-Symbolen [Maxima Draw] point_size (=1) size of points()-symbols point_size point_size :

[Maxima Draw] point_type (=1) Symbol für points()-Objekte, Name oder Kennzahl: 
none -1, dot 0, plus 1, multiply 2, asterisk 3, square 4, filled_square 5, 
circle 6, filled_circle 7, up_triangle 8, filled_up_triangle 9, down_triangle 10, 
filled_dwn_triangle 11, diamant 12, filled_diamant 13 [Maxima Draw] point_type (=1) type of points() objects, name or key number:
none -1, dot 0, plus 1, multiply 2, asterisk 3, square 4, filled_square 5, 
circle 6, filled_circle 7, up_triangle 8, filled_up_triangle 9, down_triangle 10, 
filled_down_triangle 11, diamant 12, filled_diamant 13 point_type point_type :

[Maxima Draw] points_joined (=false), true or impulses: how to join points() points_joined points_joined :

[Maxima Draw] proportional_axes (=none), xy oder xyz: Achsen mit gleicher Skalierung) [Maxima Draw] proportional_axes (=none), xy or xyz: set axes of equal scaling) proportional_axes proportional_axes :

[Maxima Draw] surface_hide (=false) oder true: Ausblendung verdeckter Flächen bei Linienrasterdarstellung [Maxima Draw] surface_hide (=false) or true: handling of hidden lines in surface grids surface_hide surface_hide :

[Maxima Draw] terminal (=screen) separate interactive terminal window,  png, jpg, gif, eps, svg, pdf, 
animated_gif: gnuplot output format terminal terminal :

[Maxima Draw] title (="") Überschrift für das Diagramm [Maxima Draw] title (="") headline for the plot title title :

[Maxima Draw] transform (=none) Koordinatentransformation, für 2D als Liste {f1(x,y), f2(x,y), x, y, für 3D
als Liste {f1(x,y), f2(x,y), f3(x, y, z), x, y, z [Maxima Draw] transform (=none) co-ordinate transformation, for 2D as list {f1(x,y), f2(x,y), x, y, for 3D
as list {f1(x,y), f2(x,y), f3(x, y, z), x, y, z transform transform :

[Maxima Draw] transparent (=false) oder true: ob Rechtecke, Polygone oder Ellipsen transparent sein sollen 
(bei false werden sie gefüllt) [Maxima Draw] transparent (=false) fill objects with border, true: don't fill (make them transparent) transparent transparent :

[Maxima Draw] tube_extremes (=(open, open) ), open oder closed: Endscheiben von tube()-Objekten. [Maxima Draw] tube_extremes (=(open, open) ), open or closed: how tube() objects are terminated. tube_extremes tube_extremes :

[Maxima Draw] unit_vectors (=false) oder true: Vektoren in originaler Länge oder als Einheitsvektoren zeichnen. [Maxima Draw] unit_vectors (=false) draw vectors in original length, true: draw unit vectors. unit_vectors unit_vectors :

[Maxima Draw] user_preamble (="") Zeichenkette oder Liste von Zeichenketten, die unmittelbar vor dem eigentlichen 
Diagrammbefehl an Gnuplot übergeben werden. [Maxima Draw] user_preamble (="") string or list of strings, gnuplot commands placed  immediately before the plot commands user_preamble user_preamble :

[Maxima Draw] view (=(60,30)) view direction view view :

[Maxima Draw] wired_surface (=false) oder true: Gitternetz auf eingefärbten Flächen anzeigen oder nicht. [Maxima Draw] wired_surface (=false) no grid on colored surfaces, true: draw grid on surfaces wired_surface wired_surface :

[Maxima Draw] x_voxel (=10) x-Bereichsteilung für den  Marching-Cubes-Algorithmus bei implizit gegebenen Flächen [Maxima Draw] x_voxel (=10) number of x steps for the Marching Cube algorithm (for implicit 3D functions) x_voxel x_voxel :

[Maxima Draw] y_voxel (=10) y-Bereichsteilung für den  Marching-Cubes-Algorithmus bei implizit gegebenen Flächen [Maxima Draw] y_voxel (=10) number of y steps for the Marching Cube algorithm (for implicit 3D functions) y_voxel y_voxel :

[Maxima Draw] z_voxel (=10) z-Bereichsteilung für den  Marching-Cubes-Algorithmus bei implizit gegebenen Flächen [Maxima Draw] z_voxel (=10) number of z steps for the Marching Cube algorithm (for implicit 3D functions) z_voxel z_voxel :

[Maxima Draw] xaxis (=false) oder true: Anzeige der x-Achse [Maxima Draw] xaxis (=false) or true: draw x-axis xaxis xaxis :

[Maxima Draw] yaxis (=false) oder true: Anzeige der y-Achse [Maxima Draw] yaxis (=false) or true: draw y-axis yaxis yaxis :

[Maxima Draw] zaxis (=false) oder true: Anzeige der z-Achse [Maxima Draw] zaxis (=false) or true: draw z-axis zaxis zaxis :

[Maxima Draw] xaxis_color (=black) Farbe x-Achse [Maxima Draw] xaxis_color (=black) color of the x-axis xaxis_color xaxis_color :

[Maxima Draw] yaxis_color (=black) Farbe y-Achse [Maxima Draw] yaxis_color (=black) color of the y-axis yaxis_color yaxis_color :

[Maxima Draw] zaxis_color (=black) Farbe z-Achse [Maxima Draw] zaxis_color (=black) color of the z-axis zaxis_color zaxis_color :

[Maxima Draw] xaxis_secondary (=false) oder true: Nutzung einer zweiten x-Achse (oben) für die nachfolgenden Objekte [Maxima Draw] xaxis_secondary (=false) or true: use the secondary x-axis (top) for subsequent objects xaxis_secondary xaxis_secondary :

[Maxima Draw] yaxis_secondary (=false) oder true: Nutzung einer zweiten y-Achse (rechts) für die nachfolgenden Objekte [Maxima Draw] yaxis_secondary (=false) or true: use the secondary y-axis (right) for subsequent objects yaxis_secondary yaxis_secondary :

[Maxima Draw] xaxis_type (=dots) oder solid: Linienart der x-Achse [Maxima Draw] xaxis_type (=dots) or solid xaxis_type xaxis_type :

[Maxima Draw] yaxis_type (=dots) oder solid: Linienart der y-Achse [Maxima Draw] yaxis_type (=dots) or solid yaxis_type yaxis_type :

[Maxima Draw] zaxis_type (=dots) oder solid: Linienart der z-Achse [Maxima Draw] zaxis_type (=dots) or solid zaxis_type zaxis_type :

[Maxima Draw] xaxis_width (=1) Linienbreite der x-Achse [Maxima Draw] xaxis_width (=1) xaxis_width xaxis_width :

[Maxima Draw] yaxis_width (=1) Linienbreite der y-Achse [Maxima Draw] yaxis_width (=1) yaxis_width yaxis_width :

[Maxima Draw] zaxis_width (=1) Linienbreite der z-Achse [Maxima Draw] zaxis_width (=1) zaxis_width zaxis_width :

[Maxima Draw] xlabel (="") x-Achsenbeschriftung [Maxima Draw] xlabel (="") label of the x-axis xlabel xlabel :

[Maxima Draw] ylabel(="") y-Achsenbeschriftung [Maxima Draw] ylabel (="") label of the y-axis ylabel ylabel :

[Maxima Draw] zlabel (="") z-Achsenbeschriftung [Maxima Draw] zlabel (="") label of the z-axis zlabel zlabel :

[Maxima Draw] xrange (=auto) oder Liste {min,max: x-Achsenbereich [Maxima Draw] xrange (=auto) or list {min,max: range of the x-axis xrange xrange :

[Maxima Draw] yrange (=auto) oder Liste {min,max: y-Achsenbereich [Maxima Draw] yrange (=auto) or list {min,max: range of the y-axis yrange yrange :

[Maxima Draw] zrange (=auto) oder Liste {min,max: z-Achsenbereich [Maxima Draw] zrange (=auto) or list {min,max: range of the z-axis zrange zrange :

[Maxima Draw] xrange_secondary (=auto) oder Liste {min,max: Bereich der zweiten (oberen) x-Achse [Maxima Draw] xrange_secondary (=auto) or list {min,max: range of the secondary (top) x-axis xrange_secondary xrange_secondary :

[Maxima Draw] yrange_secondary (=auto) oder Liste {min,max: Bereich der zweiten (rechten) y-Achse [Maxima Draw] yrange_secondary (=auto) or list {min,max: range of the secondary (right) y-axis yrange_secondary yrange_secondary :

[Maxima Draw] xtics (=auto): automatische x-Achsmarken, none: keine, Zahl: Schrittweite, 
Liste mit {min, Schritt, max, oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() 
von Listen ("text",pos) mit Vorgabe von Beschriftung und Position. [Maxima Draw] xtics (=auto): automatic x ticks, none: no x ticks, number: tick interval,  
list of {min, step, max, or set() of numbers: explicit tick values, or set() of lists
("text",pos) for spec of position and text. xtics xtics :

[Maxima Draw] ytics (=auto): automatische y-Achsmarken, none: keine, Zahl: Schrittweite, 
Liste mit {min, Schritt, max, oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() 
von Listen {"text",pos mit Vorgabe von Beschriftung und Position. [Maxima Draw] ytics (=auto): automatic y ticks, none: no y ticks, number: tick interval,  
list of {min, step, max, or set() of numbers: explicit tick values, or set() of lists
("text",pos) for spec of position and text. ytics ytics :

[Maxima Draw] ztics (=auto): automatische z-Achsmarken, none: keine, Zahl: Schrittweite, 
Liste mit {min, Schritt, max, oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() 
von Listen {"text",pos mit Vorgabe von Beschriftung und Position. [Maxima Draw] ztics (=auto): automatic z ticks, none: no x ticks, number: tick interval,  
list of {min, step, max, or set() of numbers: explicit tick values, or set() of lists
("text",pos) for spec of position and text. ztics ztics :

[Maxima Draw] xtics_secondary (=auto): automatische Marken an der sekundären (oberen) x-Achse, none: keine, 
Zahl: Schrittweite, 
Liste mit {min, Schritt, max, oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() 
von Listen {"text",pos mit Vorgabe von Beschriftung und Position. [Maxima Draw] xtics_secondary (=auto): automatic ticks on the secondary (top) x-axis, none: no ticks, number: tick interval,  
list of {min, step, max, or set() of numbers: explicit tick values, or set() of lists
("text",pos) for spec of position and text. xtics_secondary xtics_secondary :

[Maxima Draw] ytics_secondary (=auto): automatische Marken an der sekundären (rechten) y-Achse, none: keine, 
Zahl: Schrittweite, 
Liste mit {min, Schritt, max, oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() 
von Listen {"text",pos mit Vorgabe von Beschriftung und Position. [Maxima Draw] ytics_secondary (=auto): automatic ticks on the secondary (right) y-axis, none: no ticks, number: tick interval,  
list of {min, step, max, or set() of numbers: explicit tick values, or set() of lists
("text",pos) for spec of position and text. ytics_secondary ytics_secondary :

[Maxima Draw] xtics_axis (=false): x-Achsmarken am Rand, true: an der Achse [Maxima Draw] xtics_axis (=false): ticks on the boundary, true: ticks on the axis xtics_axis xtics_axis :

[Maxima Draw] ytics_axis (=false): y-Achsmarken am Rand, true: an der Achse [Maxima Draw] ytics_axis (=false): ticks on the boundary, true: ticks on the axis ytics_axis ytics_axis :

[Maxima Draw] ztics_axis (=false): z-Achsmarken am Rand, true: an der Achse [Maxima Draw] ztics_axis (=false): ticks on the boundary, true: ticks on the axis ztics_axis ztics_axis :

[Maxima Draw] xtics_secondary_axis (=false): Marken an der sekundaren (oberen) x-Achse am Rand, true: an der Achse [Maxima Draw] xtics_secondary_axis (=false): ticks on the secondary (top) boundary, true: ticks on the axis xtics_secondary_axis xtics_secondary_axis :

[Maxima Draw] ytics_secondary_axis (=false): Marken an der sekundaren (rechten) y-Achse am Rand, true: an der Achse [Maxima Draw] ytics_secondary_axis (=false): ticks on the secondary (right) boundary, true: ticks on the axis ytics_secondary_axis ytics_secondary_axis :

[Maxima Draw] xtics_rotate (=false): x-Achsmarken nicht drehen, true: um 90° drehen [Maxima Draw] xtics_rotate (=false): horizontal tick labels, true: vertical tick labels xtics_rotate xtics_rotate :

[Maxima Draw] ytics_rotate (=false): y-Achsmarken nicht drehen, true: um 90° drehen [Maxima Draw] ytics_rotate (=false): horizontal tick labels, true: vertical tick labels ytics_rotate ytics_rotate :

[Maxima Draw] ztics_rotate (=false): z-Achsmarken nicht drehen, true: um 90° drehen [Maxima Draw] ztics_rotate (=false): horizontal tick labels, true: vertical tick labels ztics_rotate ztics_rotate :

[Maxima Draw] xtics_rotate_secondary (=false): Marken an der sekundären (oberen) x-Achse nicht drehen, true: um 90° drehen [Maxima Draw] xtics_rotate_secondary (=false): don't rotate ticks of the secondary (top) x-axis, true: rotate about 90° xtics_rotate_secondary xtics_rotate_secondary :

[Maxima Draw] ytics_rotate_secondary (=false): Marken an der sekundären (rechten) y-Achse nicht drehen, true: um 90° drehen [Maxima Draw] ytics_rotate_secondary (=false): don't rotate ticks of the secondary (right) y-axis, true: rotate about 90° ytics_rotate_secondary ytics_rotate_secondary :

[Maxima Draw] xu_grid (=30) Abtastpunkte in x- oder u-Richtung [Maxima Draw] xu_grid (=30) sampling points in x- or u-direction xu_grid xu_grid :

[Maxima Draw] yv_grid (=30) Abtastpunkte in y- oder v-Richtung [Maxima Draw] yv_grid (=30) sampling points in y- or v-direction yv_grid yv_grid :

[Maxima Draw]  xyplane (=false):  xy-Koordinatenebene automatisch anordnen, Zahl: z-Koordinate [Maxima Draw3D]  xyplane (=false):  automatic allocation of the xy-plane, reak number: xy-plane intersects the z-axis at this level xyplane xyplane :

Objekte

[Maxima Draw2D] bars(b1,b2...) Säulendiagramm, Säulen gegeben durch Listen (x,h,w). Optionen: key, color, fill_color, fill_density and line_[Maxima Draw2D] bars(b1,b2...) vertical bars, given as lists (x,h,w). Options: key, color, fill_color, fill_density and line_width_bars_bars :

[Maxima Draw3D] elevation_grid(Matrix,x0,y0,w,h) Stellt eine Matrix in 3D dar. M_11 bei x=x0,y=y0+h,
M_mn bei x=x0+w,y=y0. Optionem:  xu_grid, yv_grid, line_type, key, wired_surface, enhanced3d and color [Maxima Draw3D] elevation_grid(Matrix,x0,y0,w,h) Draws a m x n-matrix in 3D. M_11 at x=x0,y=y0+h,
M_mn at x=x0+w,y=y0. Options:  xu_grid, yv_grid, line_type, key, wired_surface, enhanced3d and color_1_2_3_4_5 elevation_grid_1_2_3_4_5 elevation_grid :

[Maxima Draw2D] ellipse(xc,yc,a,b,φ1,φ2) Ellipse, zentriert bei xc, yc mit den Halbachsen a und b, von Winkel φ1 bis 
Winkel φ2. Optionen nticks, transparent, fill_color, border, line_width, line_type, key and color. [Maxima Draw2D] ellipse(xc,yc,a,b,φ1,φ2) plots an ellipse centered at [xc, yc] with horizontal and vertical semi axis a and b, respectively, 
starting at angle ang1 with an amplitude equal to angle ang2. Options: nticks, transparent, fill_color, border, line_width, line_type, key and color. #1 #2 #3 #4 #5 #6 ellipse #1 #2 #3 #4 #5 #6 ellipse :

[Maxima Draw2D] errors(e1,e2...) Punkte mit Fehlerbalken, horizontal, vertical oder beide, abhängig von der Option error_type. 
Argumente für error_type = x: Listen [x, y, xdelta] oder [x, y, xlow, xhigh]. Argumente für error_type = y; Listen [x, y, ydelta] oder [x, y, ylow, yhigh].
 Argumente für error_type = xy oder error_type = boxes: Listen [x, y, xdelta, ydelta] oder [x, y, xlow, xhigh, ylow, yhigh].  
Optionen: error_type, points_joined, line_width, key, line_type, color, fill_density, xaxis_secondary, and yaxis_secondary [Maxima Draw2D] errors(e1,e2...) Draws points with error bars, horizontally, vertically or both, depending on the value of option error_type. 
If error_type = x, arguments are lists [x, y, xdelta] or [x, y, xlow, xhigh]. If error_type = y, arguments are lists [x, y, ydelta] or [x, y, ylow, yhigh].
 If error_type = xy or error_type = boxes, arguments are lists [x, y, xdelta, ydelta] or [x, y, xlow, xhigh, ylow, yhigh].  
Options: error_type, points_joined, line_width, key, line_type, color, fill_density, xaxis_secondary, and yaxis_secondary_errors_errors :

[Maxima Draw2D] explicit(f,x,xmin,xmax) zeichnet eine Funktion f von x von xmin bis xmax. 
Optionen: nticks, adapt_depth, draw_realpart, line_width, line_type, key, filled_func, fill_color und color [Maxima Draw2D] explicit(f,x,xmin,xmax) plots explicit function f, with variable x taking values from xmin to xmax. 
Options: nticks, adapt_depth, draw_realpart, line_width, line_type, key, filled_func, fill_color and color_1_2_3_4 explicit_1_2_3_4 explicit :

[Maxima Draw3D] explicit(f,x,xmin,xmax,y,ymin,ymax) zeichnet eine Funktion f von x und y im Bereich xmin bis xmax und ymin bis ymax 
Optionen: draw_realpart, xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d und color. [Maxima Draw3D] explicit(f,x,xmin,xmax,y,ymin,ymax) plots the explicit function f, with variable x taking values from xmin to xmax and variable y 
taking values from yminto ymax. Options: draw_realpart, xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d, and color. #1 #2 #3 #4 #5 #6 #7 explicit #1 #2 #3 #4 #5 #6 #7 explicit :

[Maxima Draw2D] image(Matrix,x0,y0,w,h)  Farbdarstellung einer m x n Matrix entsprechend der Option palette [Maxima Draw2D] image(matrix,x0,y0,w,h)  plots matrix in the rectangular region from vertex (x0,y0) to (x0+w,y0+h) according
to option palette. #1 #2 #3 #4 #5 image #1 #2 #3 #4 #5 image :

[Maxima Draw2D] implicit(f,x,xmin,xmax,y,ymin,ymax)  2D Darstellung einer implizit gegebenen Funktion im angegebenen
Variablenbereich  (marching squares Algorithmus). Optionen: ip_grid, ip_grid_in, line_width, 
line_type, key, color [Maxima Draw2D] implicit(f,x,xmin,xmax,y,ymin,ymax) plots the implicit function defined by f, 
with variable x taking values from xmin to xmax, and variable y taking values from ymin to ymax. Options: ip_grid, ip_grid_in, line_width, 
line_type, key, color #1 #2 #3 #4 #5 #6 #7 implicit #1 #2 #3 #4 #5 #6 #7 implicit :

[Maxima Draw3D] implicit(f,x,xmin,xmax,y,ymin,ymax,z,zmin,zmax)  3D Darstellung einer implizit gegebenen Funktion im
 angegebenen Variablenbereich (Marching Cubes Algorithmus). Optionen: x_voxel, y_voxel, z_voxel,  
ip_grid_in, line_width, line_type, wired_surface, enhanced3D, color [Maxima Draw] [Maxima Draw3D] implicit(f,x,xmin,xmax,y,ymin,ymax,z,zmin,zmax) plots the implicit surface defined by f,
 with variable x taking values from xmin to xmax, variable y taking values from ymin to ymax and variable z taking values from zmin to zmax. 
This object implements the marching cubes algorithm. Options: x_voxel, y_voxel, z_voxel, line_width, line_type, key, wired_surface, enhanced3d,and color #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 implicit #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 implicit :

[Maxima Draw2D and 3D] label(list) Beschriftung, im 2D gegeben als Liste (text,x,y), im 3D als Liste (text,x,y,z),
spezielle Optionen: color, label_alignment, label_orientation [Maxima Draw2D and 3D] label(list) text label  specified in 2D as list [text,x,y], in 3D as list [text,x,y,z],
Options: color, label_alignment, label_orientation_label_label :

[Maxima Draw2D] parametric(fx,fy,p,pmin,pmax) parametrisch gegebenen Funktion. Optionen: 
nticks, line_width, line_type, key, color, enhanced3d [Maxima Draw2D] parametric(fx,fy,p,pmin,pmax) plots the parametric function fx, fy  with parameter p taking values from pmin to pmax. Options 
nticks, line_width, line_type, key, color, enhanced3d #1 #2 #3 #4 #5 parametric #1 #2 #3 #4 #5 parametric :

[Maxima Draw3D] parametric(fx,fy,fz,p,pmin,pmax) parametrisch gegebene Kurve. Optionen: 
nticks, line_width, line_type, key, color, enhanced3d #1 #2 #3 #4 #5 #6 parametric #1 #2 #3 #4 #5 #6 parametric :

points(matrix) Punkte, zeilenweise gegeben als n x 2 (2D) oder  n x 3 (3D)-Matrix.
Spezielle Optionen: points_joined, point_type, point_size [Maxima Draw2D/3D] [Maxima Draw2D und 3D] points(matrix) 2D: n x 2, 3D: n x 3, plots points, given as the rows in a matrix.
special options: points_joined, point_type, point_size #1 points #1 points :

points(vx,vy) Punkte, gegeben durch Vektoren der x- und y-Koordinaten.
 Spezielle Optionen: points_joined, point_type, point_size [Maxima Draw2D] [Maxima Draw2D] points(vx,vy) points given by two vectors, special options: points_joined, 
point_type, point_size #1 #2 points #1 #2 points :

[Maxima Draw3D] points(vx,vy,vz) zeichnet Punkte, gegeben durch drei Vektoren, spezielle Optionen: points_joined, 
point_type, point_size [Maxima Draw3D] points(vx,vy,vz) points given by three vectors, special options: points_joined, 
point_type, point_size #1 #2 #3 points #1 #2 #3 points :

polar() funktioniert nicht.

[Maxima Draw2D] polygon(matrix)  Polygon durch die als n x 2 Matrix gegebenen Punkte.
Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type color [Maxima Draw2D] polygon(matrix)  polygon defined by matrix (each row one point).
Special options: transparent, fill_color, border, line_width, key, line_type color #1 polygon #1 polygon :

[Maxima Draw2D]  polygon(vx,vy)  Zeichnet ein Polygon durch die als x- und y-Vektoren gegebenen Punkte.
Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type color [Maxima Draw2D]  polygon(vx,vy)  polygon defined by two vectors. Special options:
 transparent, fill_color, border, line_width, key, line_type color #1 #2 polygon #1 #2 polygon :

[Maxima Draw2D/3D] quadrilateral(l1,l2,l3,l4)  Viereck, gegeben durch Listen der Eckkoordinaten 2D: (x,y) oder 
3D: (x,y,z). Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type, color, 
enhanced3D (nur 3D) [Maxima Draw2D/3D] quadrilateral(l1,l2,l3,l4)  quadrilateral given by lists  of vertex coordinates: [x,y] in 2D or [x,y,z] in 3D.
Special options: transparent, fill_color, border, line_width, key, line_type, color, enhanced3D (3D only) #1 #2 #3 #4 quadrilateral #1 #2 #3 #4 quadrilateral :

[Maxima Draw2D]  rectangle(l1,l2)  Rechteck gegeben durch Koordinatenlisten (x,y) gegenüberliegender Ecken.
Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type, color [Maxima Draw2D]  rectangle(l1,l2)  specified by lists (x,y) of opposite corners.
Special options: transparent, fill_color, border, line_width, key, line_type, color #1 #2 rectangle #1 #2 rectangle :

[Maxima Draw2D] region(expr,x,xmin,xmax,y,ymin,ymax) Füllt das Gebiet wo expr wahr (true) ist im
Bereich von xmin, xmax, ymin, ymax. Optionen: fill_color, key, x_voxel, y_voxel [Maxima Draw2D] region(expr,x,xmin,xmax,y,ymin,ymax) Fills the region where expr is true in the
domain given by xmin, xmax, ymin, ymax. Options: fill_color, key, x_voxel, y_voxel #1 #2 #3 #4 #5 #6 #7 region #1 #2 #3 #4 #5 #6 #7 region :

spherical() funktioniert nicht

[Maxima Draw2D/3D] triangle(l1,l2,l3)  Dreieck, gegeben durch Koordinatenlisten (x,y) (2D) oder (x,y,z) (3D) der Ecken.
Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type, color [Maxima Draw2D/3D] triangle(l1,l2,l3)  given by co-ordinate lists (x,y) (2D) or (x,y,z) (3D) of the corners
Special options: transparent, fill_color, border, line_width, key, line_type, color #1 #2 #3 triangle #1 #2 #3 triangle :

[Maxima Draw3D]  tube(fx,fy,fz,fr,p,pmin,pmax)  Röhre, gegeben durch Mittellinie mit fx,fy,fz und den Radius fr
als Funktionen des Parameters p.
Spezielle Optionen:  xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d, 
color,tube_extremes. [Maxima Draw3D]  tube(fx,fy,fz,fr,p,pmin,pmax)  tube, given by functions fx,fy,fz of the centerline and radius function fr
pf parameters p.
Special options:  xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d, 
color,tube_extremes. #1 #2 #3 #4 #5 #6 #7 tube #1 #2 #3 #4 #5 #6 #7 tube :

[Maxima Draw2D/3D]  vector(l1,l2)  Pfeil,  gegeben durch Koordinatenlisten (x,y) (2D) oder (x,y,z) (3D) der Endpunkte.
Spezielle Optionen:  head_both, head_length, head_angle, head_type, line_width, line_type, key 
color. [Maxima Draw2D/3D]  vector(l1,l2)  given by co-ordinate lists (x,y) (2D) or (x,y,z) (3D) of the end points.
Spezielle Optionen:  head_both, head_length, head_angle, head_type, line_width, line_type, key 
color. #1 #2 vector #1 #2 vector :

[Maxima]  set(e1, e2,...) Maxima set (Liste in geschweiften Klammern) [Maxima]  set(e1, e2,...) Maxima set (in Maxima this is a list in curly braces)_set_set :

[Maxima] args(expr) Liste der Argumente von expr [Maxima] args(expr) list of the top level arguments of expr_args_args :

Sonstige

[Maxima] true true :

[Maxima] false false :

DocumentDirectory CurrentDirectory C:\FHB\Software\SMath\SMath Skript\Bilder\

restart MaximaControl Restart complete.

draw

cm points_joined true ≡ 1002 Random points proportional_axes xy ≡ 31 sys :

s 26024021 sys :

p1 cm s Draw2D :

p2 cm draw_points2.png s Draw2D :

# MaximaLog Received Bytes: 30
(%i19) draw2d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/fyj1edrh$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 260,240$,$set encoding utf8$],points_joined=true,points(matrix([274981831794131/1000000000000000,48863610648021/200000000000000],[145515256396269/500000000000000,94179771069521/125000000000000],[24169419903387/200000000000000,86352665017523/500000000000000],[232453607480253/250000000000000,934919316756967/1000000000000000],[32774965526897/500000000000000,136295495152611/200000000000000],[483523562775703/500000000000000,19851972302353/20000000000000],[15237561317737/50000000000000,477523836995253/1000000000000000],[827332817403289/1000000000000000,68218802832169/250000000000000],[192097525108651/200000000000000,404305893650421/500000000000000],[175189013441647/250000000000000,246712865888473/1000000000000000],[668613811334881/1000000000000000,91463617382787/125000000000000],[210102558233823/500000000000000,635377214120411/1000000000000000],[352706450667561/500000000000000,384815088186793/1000000000000000],[204659061834523/250000000000000,700567062804739/1000000000000000],[153329014849537/1000000000000000,24135449493367/100000000000000],[311790331412009/1000000000000000,44793290106949/250000000000000],[485102067461751/1000000000000000,78599745304603/100000000000000],[305861536555859/1000000000000000,47685545891377/200000000000000],[1091949854671/1250000000000,309724516379519/1000000000000000],[330852975990089/500000000000000,22880092599839/100000000000000],[77458116075703/100000000000000,466848692608461/500000000000000],[128449110094667/200000000000000,7542998533483/500000000000000],[438271305262237/1000000000000000,16495335098121/31250000000000],[20132406512337/40000000000000,105299571112403/1000000000000000],[436151656758111/500000000000000,101547196089079/1000000000000000],[862152626208101/1000000000000000,15714097891801/250000000000000],[38240028879717/40000000000000,647838828921243/1000000000000000],[691957871286179/1000000000000000,108654578546367/200000000000000],[824112936772459/1000000000000000,655653298672127/1000000000000000],[9605053444209/200000000000000,736032011330143/1000000000000000],[177034541348477/500000000000000,14327960444767/62500000000000],[781590301907431/1000000000000000,206048859030031/250000000000000],[184843572175523/500000000000000,78787396512361/100000000000000],[507496547655899/1000000000000000,51875377330871/100000000000000],[85831150219697/500000000000000,147226271986601/250000000000000],[638904524147/1600000000000,81345388645467/125000000000000],[18363229415083/125000000000000,235977563884099/500000000000000],[472131705131443/1000000000000000,734916426117959/1000000000000000],[89463388588961/1000000000000000,10127977985017/25000000000000],[197105908858173/1000000000000000,710248712781/4000000000000],[13773514459037/15625000000000,713336676225689/1000000000000000],[414131874644259/500000000000000,51781818760457/1000000000000000],[379201868725569/1000000000000000,49786787968961/200000000000000],[223172438434871/1000000000000000,209315809635127/250000000000000],[94039581759851/1000000000000000,95323580478003/125000000000000],[207157396342213/500000000000000,217906585064673/1000000000000000],[261699249158473/1000000000000000,231418485162509/250000000000000],[218682960825359/250000000000000,272666896820379/500000000000000],[38026770827373/250000000000000,818050114353211/1000000000000000],[8067485658949/12500000000000,162599335034657/250000000000000],[20354175483973/1000000000000000,196911277899943/200000000000000],[933637270673009/1000000000000000,283398225569817/1000000000000000],[175557967124301/250000000000000,52847379261091/250000000000000],[915950556246541/1000000000000000,60505699278091/125000000000000],[878535618949/5000000000000,47852072258411/50000000000000],[226904752071437/500000000000000,418993817371779/1000000000000000],[229273694906977/500000000000000,174092617805159/200000000000000],[34181083438071/40000000000000,320366203235633/500000000000000],[200491808913877/500000000000000,729808483146973/1000000000000000],[88998713478911/200000000000000,120753204506241/1000000000000000],[564701526688739/1000000000000000,654524715933/976562500000],[424714191548859/1000000000000000,40907365661537/100000000000000],[87295147630989/500000000000000,90704371263601/500000000000000],[389063860005263/1000000000000000,55307973667657/250000000000000],[298611642233381/500000000000000,185359582298137/200000000000000],[582809342808467/1000000000000000,1085653096943/4000000000000],[18993006667119/25000000000000,273354284359773/500000000000000],[157208002711277/1000000000000000,896948535878653/1000000000000000],[779699405552679/1000000000000000,544865523718701/1000000000000000],[349549950263253/1000000000000000,33562470336241/200000000000000],[41622922949783/125000000000000,23097713881567/31250000000000],[165389028687677/250000000000000,136998136591631/1000000000000000],[308779139681151/1000000000000000,995320975312647/1000000000000000],[759359195250719/1000000000000000,195618080066339/500000000000000],[71146854698261/1000000000000000,23399943683017/100000000000000],[36087543953251/250000000000000,211149300081259/500000000000000],[74611309391731/200000000000000,524645648209679/1000000000000000],[85695813449889/1000000000000000,350120866368581/1000000000000000],[69980274743857/125000000000000,524563614057639/1000000000000000],[108807930307839/1000000000000000,260411562985001/500000000000000],[822325657039101/1000000000000000,694718661575913/1000000000000000],[443411154878983/500000000000000,49781842459823/200000000000000],[374232102359753/1000000000000000,182396229907123/1000000000000000],[32963677534351/50000000000000,113979852636801/125000000000000],[356627543157259/500000000000000,478789275036561/500000000000000],[430516500459293/500000000000000,428059047054527/500000000000000],[9506463322093/25000000000000,277181215713351/1000000000000000],[787769820907977/1000000000000000,165114936495719/200000000000000],[2169298591171/250000000000000,71929013739307/250000000000000],[100294516934219/1000000000000000,179269319949331/1000000000000000],[422049547276483/1000000000000000,199565539974517/200000000000000],[150085039972367/1000000000000000,22701490477287/62500000000000],[391223867838841/500000000000000,160510742645949/1000000000000000],[179671345455419/200000000000000,235074618475081/1000000000000000],[57626594408707/125000000000000,100885892042837/125000000000000],[337106337927797/1000000000000000,398649674211/1562500000000],[436057593410861/1000000000000000,207181706073313/250000000000000],[43185836830263/125000000000000,638264722022351/1000000000000000],[426152267226089/500000000000000,412646902451593/1000000000000000],[381383017115939/500000000000000,126382909774027/1000000000000000])),proportional_axes=xy]);
(%o19) [gr2d(points)]

p1 p2 draw

cmds user_preamble set grid polar 11 sys ≡ nticks 200 ≡ xrange 5 - 521 sys ≡ yrange 5 - 521 sys ≡ line_width 3 ≡ 10 w / w 110 π * polar 61 sys :

p cmds polar.png Draw2D :

# MaximaLog Received Bytes: 29
(%i20) draw2d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/q0ggpljy$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 302.36,241.89$,$set encoding utf8$,$set grid polar$],nticks=200,xrange=[-5,5],yrange=[-5,5],line_width=3,'polar(10/w,w,1,10*%pi)]);
(%o20) [gr2d(polar)]

p draw

p points_joined impulses ≡ 1001 Random 0.5 - points 21 sys draw-003.png 40015021 sys Draw2D :

p draw draw

cm key Gruppe: A ≡ fill_color blue ≡ fill_density 0.2 ≡ 0.8 5 0.4 31 sys 1.8 7 0.4 31 sys 2.8 4 - 0.4 31 sys bars key Gruppe B ≡ fill_color red ≡ fill_density 0.6 ≡ line_width 4 ≡ 1.2 4 0.4 31 sys 2.2 2 - 0.4 31 sys 3.2 5 0.4 31 sys bars xaxis true ≡ 101 sys :

p cm draw-005.png Draw2D :

# MaximaLog Received Bytes: 33
(%i22) draw2d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/y0bbne5i$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 302.36,241.89$,$set encoding utf8$],key=$Gruppe: A$,fill_color=blue,fill_density=1/5,bars([4/5,5,2/5],[9/5,7,2/5],[14/5,-4,2/5]),key=$Gruppe B$,fill_color=red,fill_density=3/5,line_width=4,bars([6/5,4,2/5],[11/5,-2,2/5],[16/5,5,2/5]),xaxis=true]);
(%o22) [gr2d(bars,bars)]

p draw enhanced3d true ≡ 4 z - z 2 - 2 az 0 2 π * cylindrical 2 1 sys draw-006.png 400 300 2 1 sys Draw3D draw draw

obj 86 Random 0032 elevation_grid xlabel x ≡ ylabel y ≡ ztics 0.2 ≡ surface_hide true ≡ zrange 0121 sys ≡ 61 sys :

obj d008.png Draw3D

# MaximaLog Received Bytes: 38
(%i24) draw3d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/a1q5obzz$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 302.36,241.89$,$set encoding utf8$],elevation_grid(matrix([184450192649127/200000000000000,93141397271837/500000000000000,416927800707951/1000000000000000,132537243018177/200000000000000,401546756923919/1000000000000000,23939503600793/500000000000000],[170670287856213/200000000000000,36005190590399/125000000000000,987082454369907/1000000000000000,97072992938139/100000000000000,117623196503903/1000000000000000,51748170774313/500000000000000],[990569172422667/1000000000000000,337261831544927/500000000000000,77398948034923/200000000000000,82660448310273/125000000000000,139064514236089/200000000000000,868862968342781/1000000000000000],[519278299770913/1000000000000000,919164171870409/1000000000000000,750403584330531/1000000000000000,177818647202951/500000000000000,224286086496099/250000000000000,309612501091143/1000000000000000],[126402090944537/250000000000000,69579110420113/200000000000000,983440631527193/1000000000000000,863221030152971/1000000000000000,32232410438467/40000000000000,167461509894329/1000000000000000],[93468878089203/100000000000000,31644247375263/40000000000000,32784562503353/50000000000000,171582698203429/500000000000000,98362246480939/200000000000000,110317417937479/1000000000000000],[281683906491/781250000000,107062100017007/1000000000000000,191525867391157/200000000000000,396713104283769/500000000000000,61517440276927/100000000000000,115903187655333/125000000000000],[43253591863091/200000000000000,426660003106417/500000000000000,300795441167799/1000000000000000,46660335197421/200000000000000,20287116533279/40000000000000,249573215725633/500000000000000]),0,0,3,2),xlabel=$x$,ylabel=$y$,ztics=1/5,surface_hide=true,zrange=[0,1]]);
(%o24) [gr3d(elevation_grid)]

draw

obj fill_color red ≡ color gray30 ≡ line_width 5 ≡ 0632270270 - ellipse transparent true ≡ color blue ≡ line_width 3 ≡ 2.5 6323090 - ellipse xrange 5 - 621 sys ≡ yrange 2921 sys ≡ 101 sys :

obj d009.png Draw2D

# MaximaLog Received Bytes: 39
(%i25) draw2d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/theejgzc$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 302.36,241.89$,$set encoding utf8$],fill_color=red,color=gray30,line_width=5,ellipse(0,6,3,2,270,-270),transparent=true,color=blue,line_width=3,ellipse(5/2,6,3,2,30,-90),xrange=[-5,6],yrange=[2,9]]);
(%o25) [gr2d(ellipse,ellipse)]

draw

obj error_type y ≡ points_joined true ≡ 1213571031176243 mat args errors xrange 02021 sys ≡ yrange 3 - 1521 sys ≡ grid true ≡ 61 sys :

obj d010.png Draw2D

# MaximaLog Received Bytes: 30
(%i26) draw2d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/tcl2kpxa$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 302.36,241.89$,$set encoding utf8$],error_type=y,points_joined=true,errors(args(matrix([1,2,1],[3,5,7],[10,3,1],[17,6,2]))),xrange=[0,20],yrange=[-3,15],grid=true]);
(%o26) [gr2d(errors)]

draw

cmds key sin(x) ≡ x sin x 2 π * - 2 π * explicit key cos(x) ≡ color red ≡ x cos x 2 π * - 2 π * explicit grid true ≡ 61 sys :

cmds draw-011.png 500 150 2 1 sys Draw2D draw

gauss 20 e x 2^- y 2^-^* 10 - x 5 - 5 y 5 - 5 explicit :

ebene x y + x 4 - 4 y 4 - 4 explicit :

obj xu_grid 16 ≡ yv_grid 16 ≡ key Gauss ≡ color #a02c00 ≡ gauss key Ebene ≡ color blue ≡ ebene surface_hide true ≡ 91 sys :

obj d012.png 250 250 2 1 sys Draw3D

# MaximaLog Received Bytes: 41
(%i28) draw3d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/bvycb4fi$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 250,250$,$set encoding utf8$],xu_grid=16,yv_grid=16,key=$Gauss$,color=$#a02c00$,explicit((10*(2-%e^(x^2+y^2)))/(%e^(x^2+y^2)),x,-5,5,y,-5,5),key=$Ebene$,color=blue,explicit(x+y,x,-4,4,y,-4,4),surface_hide=true]);
(%o28) [gr3d(explicit,explicit)]

DocumentDirectory CurrentDirectory C:\FHB\Software\SMath\SMath Skript\Bilder\

draw

obj palette color ≡ 10100200 Random.N 003030 image proportional_axes xy ≡ 31 sys :

obj d013.png Draw2D

# MaximaLog Received Bytes: 29
(%i29) draw2d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/aybqswn3$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 302.36,241.89$,$set encoding utf8$],palette=color,image(matrix([181,56,41,91,14,177,78,100,188,107],[129,183,49,48,69,153,94,180,14,53],[141,9,196,30,58,149,87,171,149,151],[112,137,97,78,86,87,103,137,85,146],[150,164,93,129,30,51,11,83,111,193],[143,101,162,13,110,171,61,11,32,66],[89,107,152,36,195,192,86,172,163,182],[50,158,95,69,103,178,117,66,200,6],[137,3,59,157,8,11,176,83,168,116],[26,92,104,19,57,43,11,56,135,38]),0,0,30,30),proportional_axes=xy]);
(%o29) [gr2d(image)]

draw

f.1 y 2^x 3^2 x * - 1 + ≡ (:

f.2 x 3^y 3^+ 3 x * y 2^* x - 1 - ≡ (:

obj key f1 ≡ f.1 x 4 - 4 y 4 - 4 implicit key f.2 string ≡ color red ≡ f.2 x 4 - 4 y 4 - 4 implicit proportional_axes xy ≡ grid true ≡ key_pos top_left ≡ 81 sys :

obj d014.png 250 250 2 1 sys Draw2D draw

f x 2^y 2^+ z 2^+ 1 - (x 2^y 1.5 - (2^+ z 2^+ 0.5 - (* 0.015 ≡ (:

obj enhanced3d true ≡ f x 1 - 1 y 1.2 - 2.3 z 1 - 1 implicit view 5012021 sys ≡ cbtics 0.5 ≡ 41 sys :

obj d015.png Draw3D draw

obj yrange 0.1 1.4 21 sys ≡ color red ≡ roter Text 0 0.3 31 sys label color green ≡ grüner Text 0 0.6 31 sys label color orange ≡ oranger Text 0 0.9 31 sys noch ein oranger Text 0 1.2 31 sys label xrange 1 - 121 sys ≡ 81 sys :

obj d016.png 250 120 2 1 sys Draw2D

# MaximaLog Received Bytes: 41
(%i32) draw2d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/4x2g3akf$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 250,120$,$set encoding utf8$],yrange=[1/10,7/5],color=red,label([$roter Text$,0,3/10]),color=green,label([$grüner Text$,0,3/5]),color=orange,label([$oranger Text$,0,9/10],[$noch ein oranger Text$,0,6/5]),xrange=[-1,1]]);
(%o32) [gr2d(label,label,label)]

draw

obj color gray50 ≡ e x sin x 2^cos +^x 3 - 3 y 3 - 3 explicit color red ≡ Berg 1 2 - 0341 sys Berg 2 1.5 0441 sys label color blue ≡ Tal 203 - 41 sys label view 7035021 sys ≡ 71 sys :

obj d017.png 200 200 2 1 sys Draw3D Draw-Descriptions (Maxima) Draw-Descriptions (Maxima)

Optionen

Options

[Maxima Draw] adapt_depth (=10): maximale Teilungstiefe der adaptive Kurvenabtastung [Maxima Draw] adapt_depth (=10) maximum number of adaptive interval splits when drawing curves adapt_depth adapt_depth :

[Maxima Draw] axis_3d (=true): Achsen im 3D zeichnen, false: keine Achsen zeichnen [Maxima Draw] axis_3d (=true): draw 3D axes, false: don't draw axes axis_3d axis_3d :

[Maxima Draw]  axis_bottom (=true): untere Achse im 2D zeichnen, false: Achse nicht zeichnen [Maxima Draw]  axis_bottom (=true): draw bottom axis in 2D, false: don't draw axis axis_bottom axis_bottom :

[Maxima Draw] axis_top (=true): obere Achse im 2D zeichnen, false: Achse nicht zeichnen [Maxima Draw] axis_top (=true): draw top axis in 2D, false: don't draw axis axis_top axis_top :

[Maxima Draw] axis_left (=true): linke Achse im 2D zeichnen, false: Achse nicht zeichnen [Maxima Draw] axis_left (=true): draw left axis in 2D, false: don't draw axis axis_left axis_left :

[Maxima Draw] axis_right (=true): rechte Achse im 2D zeichnen, false: Achse nicht zeichnen [Maxima Draw] axis_right (=true): draw right axis in 2D, false: don't draw axis axis_right axis_right :

[Maxima Draw] background_color (=white): Hintergrundfarbe des Diagramms [Maxima Draw] background_color (=white): background color of the plot background_color background_color :

[Maxima Draw] border (=true): Ränder von polygon(), ellipse() oder rectangle() zeichnen [Maxima Draw] border (=true): draw borders of polygon(), ellipse() or rectangle() objects border border :

[Maxima Draw] cbrange (=auto): Farbbereich (Liste min,max) [Maxima Draw] cbrange (=auto): color bar range (list min,max) cbrange cbrange :

[Maxima Draw] cbtics (=auto): Marken an der Farblegende [Maxima Draw] cbtics (=auto): color bar tick marks cbtics cbtics :

[Maxima Draw] color (=blue): Farbe für Linien, Punkte, Kanten und Text, als Namen oder hexadezimal in der
Form  "#rrggbb" [Maxima Draw] color (=blue): color for lines, points, borders and text, given as name or as "#rrggbb" color color :

[Maxima Draw] colorbox (=true): Farblegende ohne Beschriftung zeichnen, false: keine Farblegende 
zeichnen, text: Farblegende mit text als Beschriftung zeichnen. [Maxima Draw] colorbox (=true): draw color scale without label, false: no colorbar, 
string: draw colorbar with string as label. colorbox colorbox :

[Maxima Draw] contour (=none): Art der Höhenlinien. none: keine, base: auf der xy-Ebene, surface: auf der
3D-Fläche, both: auf xy-Ebene und Fläche, map: auf xy-Ebene und Blickrichtung senkrecht. [Maxima Draw] contour (=none): contour lines. none: no contours, base: on xy plane, surface: on 3D surface, both:
on xy plane and surface, map: on xy plane plus vertical view. contour contour :

[Maxima Draw]  contour_levels (=5): Werte für die Höhenlinien. Anzahl oder Liste  (min, Δ, max), oder
set(L1, L2,...) mit Werten [Maxima Draw]  contour_levels (=5): contour levels. number oder list  (min, Δ, max), or
set(L1, L2,...) of values contour_levels contour_levels :

[Maxima Draw]  data_file_name (="data.gnuplot"): Kurvendaten für Gnuplot [Maxima Draw]  data_file_name (="data.gnuplot"): internal data file name for gnuplot data_file_name data_file_name :

[Maxima Draw]  delay (=5) Zeitschritt in animierten gif-Dateien [Maxima Draw]  delay (=5): time step in animted gif files delay delay :

[Maxima Draw]  dimensions (= 600 x 500): Liste [Breite,Höhe] [Maxima Draw]  dimensions (= 600 x 500) list [width, height] dimensions dimensions :

[Maxima Draw]  draw_realpart (=true) Realteil zur Darstellung komplexer Werte verwenden [Maxima Draw]  draw_realpart (=true) use real part for plotting complex values draw_realpart draw_realpart :

[Maxima Draw]  enhanced3d (=none) Farbpalette, none: 3D Flächen als Gitter zeichnen  
(Steuerung mit color und surface_hide), true: Farbe anhand des z-Werts, 
Liste  [f(x,y,z), x, y, z]: Farbe anhand der Funktion f,  
Liste [f(u,v),u,v]: Farbe anhand der Flächenparameter oder Liste [f(k), k ]: 
Farbe anhand der Punktnummer in points() Objekten [Maxima Draw]  enhanced3d (=none) don't use color palette, draw 3D surfaces as grid 
(control using color und surface_hide), true: coloring of surfaces by z-value, 
or  list  [f(x,y,z), x, y, z]: coloring according to function f or 
list [f(u,v),u,v]  or list [f(k), k ] (k being the point counter in points() objects) enhanced3d enhanced3d :

[Maxima Draw] error_type (=y) Art der Fehlerbalken in errors():  x, y, xy oder boxes [Maxima Draw] error_type (=y) type of error bars in errors():  x, y, xy or boxes error_type error_type :

[Maxima Draw] file_name (="maxima_out") Grafik-Ausgabedatei, Endung wird gemäß Ausgabeformat ergänzt [Maxima Draw] file_name (="maxima_out") output file, extension is set according to format file_name file_name :

[Maxima Draw] fill_color (=red) Füllfarbe für Objejte polygon() und  explicit() in 2D [Maxima Draw] fill_color (=red) fill color for polygons and explicit functions y(x) in 2D fill_color fill_color :

[Maxima Draw] fill_density (=0) Deckungsgrad der Füllfarbe in bars()-Objekten, zwischen 0 und 1 [Maxima Draw] fill_density (=0) opacity of the fill color in bars()-objects, 0..1 fill_density fill_density :

[Maxima Draw] filled_func (=false): explizite Funktionen y(x) werden nicht gefüllt,
true: Füllung bis zur Unterkante des Diagramms, g(x): Füllung zwischen g(x)
 und y(x) [Maxima Draw] filled_func (=false): don't fill explicit functions y(x),
true: fill between the next explicit() object and the bottom border of the diagram, g(x): fill
between g(x) and the next explicit() object filled_func filled_func :

[Maxima Draw] gnuplot_file_name (="maxout.gnuplot"): Kommandodatei für Gnuplot [Maxima Draw] gnuplot_file_name (="maxout.gnuplot"): name of the temporary gnuplot command file gnuplot_file_name gnuplot_file_name :

[Maxima Draw] gnuplot_term (): Ausgabe-Format-Spezifikation (Text nach "set terminal") [Maxima Draw] gnuplot_term (): gnuplot terminal options (arguments of "set terminal") gnuplot_term gnuplot_term :

[Maxima Draw] gnuplot_out_file (=maxplot.xxx) Ausgabedateiname (xxx abhängig vom Format) [Maxima Draw] gnuplot_out_file (=maxplot.xxx) output file name (xxx depends on terminal) gnuplot_out_file gnuplot_out_file :

[Maxima Draw] grid (=false): kein Gitterraster zeichnen, true: Gitter zeichnen [Maxima Draw] grid (=false): don't draw xy grid, true: draw grid grid grid :

[Maxima Draw] head_angle (=45) Pfeilwinkel an vector()-Objekten (halber Öffnungswinkel in °) [Maxima Draw] head_angle (=45): head angle of vector()-Objekten (angle between border and vector 
 direction in °) head_angle head_angle :

[Maxima Draw] head_both (=false) oder true: ob bei vector()-Objekten zwei Pfeilspitzen gezeichnet werden. [Maxima Draw] head_both (=false): don't draw a second head of vector() objects,
 true: draw a second head head_both head_both :

[Maxima Draw] head_length (=2) Länge der Pfeilspitze  bei vector()-Objekten in Einheiten der x-Achse [Maxima Draw] head_length (=2): head length of vector() objects in units of the x-axis head_length head_length :

[Maxima Draw] head_type (=filled) Spitzenform bei vector()-Objekten:  filled, empty  oder nonfilled [Maxima Draw] head_type (=filled) head type of vector() objects:  filled, empty  or nonfilled head_type head_type :

[Maxima Draw] ip_grid (={50, 50): Primäres Gitter für die Darstellung impliziter Funktionen,
als Liste angeben [Maxima Draw] ip_grid (={50, 50): primary grid for sampling of implicit functions, two-element list ip_grid ip_grid :

[Maxima Draw] ip_grid_in (={5, 5 ): Sekundäres Gitter für die Darstellung impliziter Funktionen [Maxima Draw] ip_grid_in (={5, 5 ): secondary grid for sampling of implicit functions ip_grid_in ip_grid_in :

[Maxima Draw] key (=""): Legendeneintrag für das nachfolgende Grafikobjekt. [Maxima Draw] key (=""): legend key for subsequent graphics object. key key :

[Maxima Draw] key_pos (="", entspricht top_right): Legendenposition. Gültige Werte: top_left, top_center, top_right, 
center_left, center, center_right, bottom_left, bottom_center, bottom_right [Maxima Draw] key_pos (="", equivalent to top_right): position of the legend. Valid options: top_left, top_center, top_right, 
center_left, center, center_right, bottom_left, bottom_center, bottom_right key_pos key_pos :

[Maxima Draw] label_alignment (=center), left oder right: horizontale Ausrichtung von Beschriftungen [Maxima Draw] label_alignment (=center), left or right: alignment of text labels label_alignment label_alignment :

[Maxima Draw] label_orientation (=horizontal) oder vertical: Ausrichtung von Texten [Maxima Draw] label_orientation (=horizontal) or vertical: orientation of text labels label_orientation label_orientation :

[Maxima Draw] line_type (=solid) Linienart. Alternativen: dots (für alle Formate) oder wenn von
Gnuplot unterstützt: dashes, short_dashes, short_long_dashes, short_short_long_dashes [Maxima Draw] line_type (=solid) line type. Other options: dots (for all formats) or if supported by
Gnuplot: dashes, short_dashes, short_long_dashes, short_short_long_dashes line_type line_type :

[Maxima Draw] line_width (=1) , >0 line_width line_width :

[Maxima Draw] logcb (=false) oder true: logarithmische Farbskale [Maxima Draw] logcb (=false) or true: log scale of the colorbar logcb logcb :

[Maxima Draw] logx (=false) oder true: logarithmische x-Achse [Maxima Draw] logx (=false) or true: log scale of x-axis logx logx :

[Maxima Draw] logx_secondary (=false) oder true: logarithmische zweite x-Achse [Maxima Draw] logx_secondary (=false) or true: log scale of secondary x-axis logx_secondary logx_secondary :

[Maxima Draw] logy (=false) oder true: logarithmische y-Achse [Maxima Draw] logy (=false) or true: log scale of y-axis logy logy :

[Maxima Draw] logy_secondary (=false) oder true: logarithmische zweite y-Achse [Maxima Draw] logy_secondary (=false) or true: log scale of secondary y-axis logy_secondary logy_secondary :

[Maxima Draw] logz (=false) oder true: logarithmische z-Achse [Maxima Draw] logz (=false) or true: log scale of z-axis logz logz :

[Maxima Draw] nticks (=29): Punktezahl für die Kurvenabtastung [Maxima Draw] nticks (=29): number of points for curve sampling (explicit and parametric) nticks nticks :

[Maxima Draw] palette (=color) Standard-Farbpalette, gray: Graustufen, 
Liste { Farbe1, Farbe2...  oder false: Flächen nicht färben [Maxima Draw] palette (=color) default color palette, gray: gray levels, 
list { color1, color2...  or false: don't color 3D objects palette palette :

[Maxima Draw] point_size (=1) Größe von points()-Symbolen [Maxima Draw] point_size (=1) size of points()-symbols point_size point_size :

[Maxima Draw] point_type (=1) Symbol für points()-Objekte, Name oder Kennzahl: 
none -1, dot 0, plus 1, multiply 2, asterisk 3, square 4, filled_square 5, 
circle 6, filled_circle 7, up_triangle 8, filled_up_triangle 9, down_triangle 10, 
filled_dwn_triangle 11, diamant 12, filled_diamant 13 [Maxima Draw] point_type (=1) type of points() objects, name or key number:
none -1, dot 0, plus 1, multiply 2, asterisk 3, square 4, filled_square 5, 
circle 6, filled_circle 7, up_triangle 8, filled_up_triangle 9, down_triangle 10, 
filled_down_triangle 11, diamant 12, filled_diamant 13 point_type point_type :

[Maxima Draw] points_joined (=false), true or impulses: how to join points() points_joined points_joined :

[Maxima Draw] proportional_axes (=none), xy oder xyz: Achsen mit gleicher Skalierung) [Maxima Draw] proportional_axes (=none), xy or xyz: set axes of equal scaling) proportional_axes proportional_axes :

[Maxima Draw] surface_hide (=false) oder true: Ausblendung verdeckter Flächen bei Linienrasterdarstellung [Maxima Draw] surface_hide (=false) or true: handling of hidden lines in surface grids surface_hide surface_hide :

[Maxima Draw] terminal (=screen) separate interactive terminal window,  png, jpg, gif, eps, svg, pdf, 
animated_gif: gnuplot output format terminal terminal :

[Maxima Draw] title (="") Überschrift für das Diagramm [Maxima Draw] title (="") headline for the plot title title :

[Maxima Draw] transform (=none) Koordinatentransformation, für 2D als Liste {f1(x,y), f2(x,y), x, y, für 3D
als Liste {f1(x,y), f2(x,y), f3(x, y, z), x, y, z [Maxima Draw] transform (=none) co-ordinate transformation, for 2D as list {f1(x,y), f2(x,y), x, y, for 3D
as list {f1(x,y), f2(x,y), f3(x, y, z), x, y, z transform transform :

[Maxima Draw] transparent (=false) oder true: ob Rechtecke, Polygone oder Ellipsen transparent sein sollen 
(bei false werden sie gefüllt) [Maxima Draw] transparent (=false) fill objects with border, true: don't fill (make them transparent) transparent transparent :

[Maxima Draw] tube_extremes (=(open, open) ), open oder closed: Endscheiben von tube()-Objekten. [Maxima Draw] tube_extremes (=(open, open) ), open or closed: how tube() objects are terminated. tube_extremes tube_extremes :

[Maxima Draw] unit_vectors (=false) oder true: Vektoren in originaler Länge oder als Einheitsvektoren zeichnen. [Maxima Draw] unit_vectors (=false) draw vectors in original length, true: draw unit vectors. unit_vectors unit_vectors :

[Maxima Draw] user_preamble (="") Zeichenkette oder Liste von Zeichenketten, die unmittelbar vor dem eigentlichen 
Diagrammbefehl an Gnuplot übergeben werden. [Maxima Draw] user_preamble (="") string or list of strings, gnuplot commands placed  immediately before the plot commands user_preamble user_preamble :

[Maxima Draw] view (=(60,30)) view direction view view :

[Maxima Draw] wired_surface (=false) oder true: Gitternetz auf eingefärbten Flächen anzeigen oder nicht. [Maxima Draw] wired_surface (=false) no grid on colored surfaces, true: draw grid on surfaces wired_surface wired_surface :

[Maxima Draw] x_voxel (=10) x-Bereichsteilung für den  Marching-Cubes-Algorithmus bei implizit gegebenen Flächen [Maxima Draw] x_voxel (=10) number of x steps for the Marching Cube algorithm (for implicit 3D functions) x_voxel x_voxel :

[Maxima Draw] y_voxel (=10) y-Bereichsteilung für den  Marching-Cubes-Algorithmus bei implizit gegebenen Flächen [Maxima Draw] y_voxel (=10) number of y steps for the Marching Cube algorithm (for implicit 3D functions) y_voxel y_voxel :

[Maxima Draw] z_voxel (=10) z-Bereichsteilung für den  Marching-Cubes-Algorithmus bei implizit gegebenen Flächen [Maxima Draw] z_voxel (=10) number of z steps for the Marching Cube algorithm (for implicit 3D functions) z_voxel z_voxel :

[Maxima Draw] xaxis (=false) oder true: Anzeige der x-Achse [Maxima Draw] xaxis (=false) or true: draw x-axis xaxis xaxis :

[Maxima Draw] yaxis (=false) oder true: Anzeige der y-Achse [Maxima Draw] yaxis (=false) or true: draw y-axis yaxis yaxis :

[Maxima Draw] zaxis (=false) oder true: Anzeige der z-Achse [Maxima Draw] zaxis (=false) or true: draw z-axis zaxis zaxis :

[Maxima Draw] xaxis_color (=black) Farbe x-Achse [Maxima Draw] xaxis_color (=black) color of the x-axis xaxis_color xaxis_color :

[Maxima Draw] yaxis_color (=black) Farbe y-Achse [Maxima Draw] yaxis_color (=black) color of the y-axis yaxis_color yaxis_color :

[Maxima Draw] zaxis_color (=black) Farbe z-Achse [Maxima Draw] zaxis_color (=black) color of the z-axis zaxis_color zaxis_color :

[Maxima Draw] xaxis_secondary (=false) oder true: Nutzung einer zweiten x-Achse (oben) für die nachfolgenden Objekte [Maxima Draw] xaxis_secondary (=false) or true: use the secondary x-axis (top) for subsequent objects xaxis_secondary xaxis_secondary :

[Maxima Draw] yaxis_secondary (=false) oder true: Nutzung einer zweiten y-Achse (rechts) für die nachfolgenden Objekte [Maxima Draw] yaxis_secondary (=false) or true: use the secondary y-axis (right) for subsequent objects yaxis_secondary yaxis_secondary :

[Maxima Draw] xaxis_type (=dots) oder solid: Linienart der x-Achse [Maxima Draw] xaxis_type (=dots) or solid xaxis_type xaxis_type :

[Maxima Draw] yaxis_type (=dots) oder solid: Linienart der y-Achse [Maxima Draw] yaxis_type (=dots) or solid yaxis_type yaxis_type :

[Maxima Draw] zaxis_type (=dots) oder solid: Linienart der z-Achse [Maxima Draw] zaxis_type (=dots) or solid zaxis_type zaxis_type :

[Maxima Draw] xaxis_width (=1) Linienbreite der x-Achse [Maxima Draw] xaxis_width (=1) xaxis_width xaxis_width :

[Maxima Draw] yaxis_width (=1) Linienbreite der y-Achse [Maxima Draw] yaxis_width (=1) yaxis_width yaxis_width :

[Maxima Draw] zaxis_width (=1) Linienbreite der z-Achse [Maxima Draw] zaxis_width (=1) zaxis_width zaxis_width :

[Maxima Draw] xlabel (="") x-Achsenbeschriftung [Maxima Draw] xlabel (="") label of the x-axis xlabel xlabel :

[Maxima Draw] ylabel(="") y-Achsenbeschriftung [Maxima Draw] ylabel (="") label of the y-axis ylabel ylabel :

[Maxima Draw] zlabel (="") z-Achsenbeschriftung [Maxima Draw] zlabel (="") label of the z-axis zlabel zlabel :

[Maxima Draw] xrange (=auto) oder Liste {min,max: x-Achsenbereich [Maxima Draw] xrange (=auto) or list {min,max: range of the x-axis xrange xrange :

[Maxima Draw] yrange (=auto) oder Liste {min,max: y-Achsenbereich [Maxima Draw] yrange (=auto) or list {min,max: range of the y-axis yrange yrange :

[Maxima Draw] zrange (=auto) oder Liste {min,max: z-Achsenbereich [Maxima Draw] zrange (=auto) or list {min,max: range of the z-axis zrange zrange :

[Maxima Draw] xrange_secondary (=auto) oder Liste {min,max: Bereich der zweiten (oberen) x-Achse [Maxima Draw] xrange_secondary (=auto) or list {min,max: range of the secondary (top) x-axis xrange_secondary xrange_secondary :

[Maxima Draw] yrange_secondary (=auto) oder Liste {min,max: Bereich der zweiten (rechten) y-Achse [Maxima Draw] yrange_secondary (=auto) or list {min,max: range of the secondary (right) y-axis yrange_secondary yrange_secondary :

[Maxima Draw] xtics (=auto): automatische x-Achsmarken, none: keine, Zahl: Schrittweite, 
Liste mit {min, Schritt, max, oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() 
von Listen ("text",pos) mit Vorgabe von Beschriftung und Position. [Maxima Draw] xtics (=auto): automatic x ticks, none: no x ticks, number: tick interval,  
list of {min, step, max, or set() of numbers: explicit tick values, or set() of lists
("text",pos) for spec of position and text. xtics xtics :

[Maxima Draw] ytics (=auto): automatische y-Achsmarken, none: keine, Zahl: Schrittweite, 
Liste mit {min, Schritt, max, oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() 
von Listen {"text",pos mit Vorgabe von Beschriftung und Position. [Maxima Draw] ytics (=auto): automatic y ticks, none: no y ticks, number: tick interval,  
list of {min, step, max, or set() of numbers: explicit tick values, or set() of lists
("text",pos) for spec of position and text. ytics ytics :

[Maxima Draw] ztics (=auto): automatische z-Achsmarken, none: keine, Zahl: Schrittweite, 
Liste mit {min, Schritt, max, oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() 
von Listen {"text",pos mit Vorgabe von Beschriftung und Position. [Maxima Draw] ztics (=auto): automatic z ticks, none: no x ticks, number: tick interval,  
list of {min, step, max, or set() of numbers: explicit tick values, or set() of lists
("text",pos) for spec of position and text. ztics ztics :

[Maxima Draw] xtics_secondary (=auto): automatische Marken an der sekundären (oberen) x-Achse, none: keine, 
Zahl: Schrittweite, 
Liste mit {min, Schritt, max, oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() 
von Listen {"text",pos mit Vorgabe von Beschriftung und Position. [Maxima Draw] xtics_secondary (=auto): automatic ticks on the secondary (top) x-axis, none: no ticks, number: tick interval,  
list of {min, step, max, or set() of numbers: explicit tick values, or set() of lists
("text",pos) for spec of position and text. xtics_secondary xtics_secondary :

[Maxima Draw] ytics_secondary (=auto): automatische Marken an der sekundären (rechten) y-Achse, none: keine, 
Zahl: Schrittweite, 
Liste mit {min, Schritt, max, oder set() von Zahlen: explizite Vorgabe der Zahlenwerte, oder set() 
von Listen {"text",pos mit Vorgabe von Beschriftung und Position. [Maxima Draw] ytics_secondary (=auto): automatic ticks on the secondary (right) y-axis, none: no ticks, number: tick interval,  
list of {min, step, max, or set() of numbers: explicit tick values, or set() of lists
("text",pos) for spec of position and text. ytics_secondary ytics_secondary :

[Maxima Draw] xtics_axis (=false): x-Achsmarken am Rand, true: an der Achse [Maxima Draw] xtics_axis (=false): ticks on the boundary, true: ticks on the axis xtics_axis xtics_axis :

[Maxima Draw] ytics_axis (=false): y-Achsmarken am Rand, true: an der Achse [Maxima Draw] ytics_axis (=false): ticks on the boundary, true: ticks on the axis ytics_axis ytics_axis :

[Maxima Draw] ztics_axis (=false): z-Achsmarken am Rand, true: an der Achse [Maxima Draw] ztics_axis (=false): ticks on the boundary, true: ticks on the axis ztics_axis ztics_axis :

[Maxima Draw] xtics_secondary_axis (=false): Marken an der sekundaren (oberen) x-Achse am Rand, true: an der Achse [Maxima Draw] xtics_secondary_axis (=false): ticks on the secondary (top) boundary, true: ticks on the axis xtics_secondary_axis xtics_secondary_axis :

[Maxima Draw] ytics_secondary_axis (=false): Marken an der sekundaren (rechten) y-Achse am Rand, true: an der Achse [Maxima Draw] ytics_secondary_axis (=false): ticks on the secondary (right) boundary, true: ticks on the axis ytics_secondary_axis ytics_secondary_axis :

[Maxima Draw] xtics_rotate (=false): x-Achsmarken nicht drehen, true: um 90° drehen [Maxima Draw] xtics_rotate (=false): horizontal tick labels, true: vertical tick labels xtics_rotate xtics_rotate :

[Maxima Draw] ytics_rotate (=false): y-Achsmarken nicht drehen, true: um 90° drehen [Maxima Draw] ytics_rotate (=false): horizontal tick labels, true: vertical tick labels ytics_rotate ytics_rotate :

[Maxima Draw] ztics_rotate (=false): z-Achsmarken nicht drehen, true: um 90° drehen [Maxima Draw] ztics_rotate (=false): horizontal tick labels, true: vertical tick labels ztics_rotate ztics_rotate :

[Maxima Draw] xtics_rotate_secondary (=false): Marken an der sekundären (oberen) x-Achse nicht drehen, true: um 90° drehen [Maxima Draw] xtics_rotate_secondary (=false): don't rotate ticks of the secondary (top) x-axis, true: rotate about 90° xtics_rotate_secondary xtics_rotate_secondary :

[Maxima Draw] ytics_rotate_secondary (=false): Marken an der sekundären (rechten) y-Achse nicht drehen, true: um 90° drehen [Maxima Draw] ytics_rotate_secondary (=false): don't rotate ticks of the secondary (right) y-axis, true: rotate about 90° ytics_rotate_secondary ytics_rotate_secondary :

[Maxima Draw] xu_grid (=30) Abtastpunkte in x- oder u-Richtung [Maxima Draw] xu_grid (=30) sampling points in x- or u-direction xu_grid xu_grid :

[Maxima Draw] yv_grid (=30) Abtastpunkte in y- oder v-Richtung [Maxima Draw] yv_grid (=30) sampling points in y- or v-direction yv_grid yv_grid :

[Maxima Draw]  xyplane (=false):  xy-Koordinatenebene automatisch anordnen, Zahl: z-Koordinate [Maxima Draw3D]  xyplane (=false):  automatic allocation of the xy-plane, reak number: xy-plane intersects the z-axis at this level xyplane xyplane :

Objekte

[Maxima Draw2D] bars(b1,b2...) Säulendiagramm, Säulen gegeben durch Listen (x,h,w). Optionen: key, color, fill_color, fill_density and line_[Maxima Draw2D] bars(b1,b2...) vertical bars, given as lists (x,h,w). Options: key, color, fill_color, fill_density and line_width_bars_bars :

[Maxima Draw3D] elevation_grid(Matrix,x0,y0,w,h) Stellt eine Matrix in 3D dar. M_11 bei x=x0,y=y0+h,
M_mn bei x=x0+w,y=y0. Optionem:  xu_grid, yv_grid, line_type, key, wired_surface, enhanced3d and color [Maxima Draw3D] elevation_grid(Matrix,x0,y0,w,h) Draws a m x n-matrix in 3D. M_11 at x=x0,y=y0+h,
M_mn at x=x0+w,y=y0. Options:  xu_grid, yv_grid, line_type, key, wired_surface, enhanced3d and color_1_2_3_4_5 elevation_grid_1_2_3_4_5 elevation_grid :

[Maxima Draw2D] ellipse(xc,yc,a,b,φ1,φ2) Ellipse, zentriert bei xc, yc mit den Halbachsen a und b, von Winkel φ1 bis 
Winkel φ2. Optionen nticks, transparent, fill_color, border, line_width, line_type, key and color. [Maxima Draw2D] ellipse(xc,yc,a,b,φ1,φ2) plots an ellipse centered at [xc, yc] with horizontal and vertical semi axis a and b, respectively, 
starting at angle ang1 with an amplitude equal to angle ang2. Options: nticks, transparent, fill_color, border, line_width, line_type, key and color. #1 #2 #3 #4 #5 #6 ellipse #1 #2 #3 #4 #5 #6 ellipse :

[Maxima Draw2D] errors(e1,e2...) Punkte mit Fehlerbalken, horizontal, vertical oder beide, abhängig von der Option error_type. 
Argumente für error_type = x: Listen [x, y, xdelta] oder [x, y, xlow, xhigh]. Argumente für error_type = y; Listen [x, y, ydelta] oder [x, y, ylow, yhigh].
 Argumente für error_type = xy oder error_type = boxes: Listen [x, y, xdelta, ydelta] oder [x, y, xlow, xhigh, ylow, yhigh].  
Optionen: error_type, points_joined, line_width, key, line_type, color, fill_density, xaxis_secondary, and yaxis_secondary [Maxima Draw2D] errors(e1,e2...) Draws points with error bars, horizontally, vertically or both, depending on the value of option error_type. 
If error_type = x, arguments are lists [x, y, xdelta] or [x, y, xlow, xhigh]. If error_type = y, arguments are lists [x, y, ydelta] or [x, y, ylow, yhigh].
 If error_type = xy or error_type = boxes, arguments are lists [x, y, xdelta, ydelta] or [x, y, xlow, xhigh, ylow, yhigh].  
Options: error_type, points_joined, line_width, key, line_type, color, fill_density, xaxis_secondary, and yaxis_secondary_errors_errors :

[Maxima Draw2D] explicit(f,x,xmin,xmax) zeichnet eine Funktion f von x von xmin bis xmax. 
Optionen: nticks, adapt_depth, draw_realpart, line_width, line_type, key, filled_func, fill_color und color [Maxima Draw2D] explicit(f,x,xmin,xmax) plots explicit function f, with variable x taking values from xmin to xmax. 
Options: nticks, adapt_depth, draw_realpart, line_width, line_type, key, filled_func, fill_color and color_1_2_3_4 explicit_1_2_3_4 explicit :

[Maxima Draw3D] explicit(f,x,xmin,xmax,y,ymin,ymax) zeichnet eine Funktion f von x und y im Bereich xmin bis xmax und ymin bis ymax 
Optionen: draw_realpart, xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d und color. [Maxima Draw3D] explicit(f,x,xmin,xmax,y,ymin,ymax) plots the explicit function f, with variable x taking values from xmin to xmax and variable y 
taking values from yminto ymax. Options: draw_realpart, xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d, and color. #1 #2 #3 #4 #5 #6 #7 explicit #1 #2 #3 #4 #5 #6 #7 explicit :

[Maxima Draw2D] image(Matrix,x0,y0,w,h)  Farbdarstellung einer m x n Matrix entsprechend der Option palette [Maxima Draw2D] image(matrix,x0,y0,w,h)  plots matrix in the rectangular region from vertex (x0,y0) to (x0+w,y0+h) according
to option palette. #1 #2 #3 #4 #5 image #1 #2 #3 #4 #5 image :

[Maxima Draw2D] implicit(f,x,xmin,xmax,y,ymin,ymax)  2D Darstellung einer implizit gegebenen Funktion im angegebenen
Variablenbereich  (marching squares Algorithmus). Optionen: ip_grid, ip_grid_in, line_width, 
line_type, key, color [Maxima Draw2D] implicit(f,x,xmin,xmax,y,ymin,ymax) plots the implicit function defined by f, 
with variable x taking values from xmin to xmax, and variable y taking values from ymin to ymax. Options: ip_grid, ip_grid_in, line_width, 
line_type, key, color #1 #2 #3 #4 #5 #6 #7 implicit #1 #2 #3 #4 #5 #6 #7 implicit :

[Maxima Draw3D] implicit(f,x,xmin,xmax,y,ymin,ymax,z,zmin,zmax)  3D Darstellung einer implizit gegebenen Funktion im
 angegebenen Variablenbereich (Marching Cubes Algorithmus). Optionen: x_voxel, y_voxel, z_voxel,  
ip_grid_in, line_width, line_type, wired_surface, enhanced3D, color [Maxima Draw] [Maxima Draw3D] implicit(f,x,xmin,xmax,y,ymin,ymax,z,zmin,zmax) plots the implicit surface defined by f,
 with variable x taking values from xmin to xmax, variable y taking values from ymin to ymax and variable z taking values from zmin to zmax. 
This object implements the marching cubes algorithm. Options: x_voxel, y_voxel, z_voxel, line_width, line_type, key, wired_surface, enhanced3d,and color #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 implicit #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 implicit :

[Maxima Draw2D and 3D] label(list) Beschriftung, im 2D gegeben als Liste (text,x,y), im 3D als Liste (text,x,y,z),
spezielle Optionen: color, label_alignment, label_orientation [Maxima Draw2D and 3D] label(list) text label  specified in 2D as list [text,x,y], in 3D as list [text,x,y,z],
Options: color, label_alignment, label_orientation_label_label :

[Maxima Draw2D] parametric(fx,fy,p,pmin,pmax) parametrisch gegebenen Funktion. Optionen: 
nticks, line_width, line_type, key, color, enhanced3d [Maxima Draw2D] parametric(fx,fy,p,pmin,pmax) plots the parametric function fx, fy  with parameter p taking values from pmin to pmax. Options 
nticks, line_width, line_type, key, color, enhanced3d #1 #2 #3 #4 #5 parametric #1 #2 #3 #4 #5 parametric :

[Maxima Draw3D] parametric(fx,fy,fz,p,pmin,pmax) parametrisch gegebene Kurve. Optionen: 
nticks, line_width, line_type, key, color, enhanced3d #1 #2 #3 #4 #5 #6 parametric #1 #2 #3 #4 #5 #6 parametric :

points(matrix) Punkte, zeilenweise gegeben als n x 2 (2D) oder  n x 3 (3D)-Matrix.
Spezielle Optionen: points_joined, point_type, point_size [Maxima Draw2D/3D] [Maxima Draw2D und 3D] points(matrix) 2D: n x 2, 3D: n x 3, plots points, given as the rows in a matrix.
special options: points_joined, point_type, point_size #1 points #1 points :

points(vx,vy) Punkte, gegeben durch Vektoren der x- und y-Koordinaten.
 Spezielle Optionen: points_joined, point_type, point_size [Maxima Draw2D] [Maxima Draw2D] points(vx,vy) points given by two vectors, special options: points_joined, 
point_type, point_size #1 #2 points #1 #2 points :

[Maxima Draw3D] points(vx,vy,vz) zeichnet Punkte, gegeben durch drei Vektoren, spezielle Optionen: points_joined, 
point_type, point_size [Maxima Draw3D] points(vx,vy,vz) points given by three vectors, special options: points_joined, 
point_type, point_size #1 #2 #3 points #1 #2 #3 points :

polar() funktioniert nicht.

[Maxima Draw2D] polygon(matrix)  Polygon durch die als n x 2 Matrix gegebenen Punkte.
Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type color [Maxima Draw2D] polygon(matrix)  polygon defined by matrix (each row one point).
Special options: transparent, fill_color, border, line_width, key, line_type color #1 polygon #1 polygon :

[Maxima Draw2D]  polygon(vx,vy)  Zeichnet ein Polygon durch die als x- und y-Vektoren gegebenen Punkte.
Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type color [Maxima Draw2D]  polygon(vx,vy)  polygon defined by two vectors. Special options:
 transparent, fill_color, border, line_width, key, line_type color #1 #2 polygon #1 #2 polygon :

[Maxima Draw2D/3D] quadrilateral(l1,l2,l3,l4)  Viereck, gegeben durch Listen der Eckkoordinaten 2D: (x,y) oder 
3D: (x,y,z). Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type, color, 
enhanced3D (nur 3D) [Maxima Draw2D/3D] quadrilateral(l1,l2,l3,l4)  quadrilateral given by lists  of vertex coordinates: [x,y] in 2D or [x,y,z] in 3D.
Special options: transparent, fill_color, border, line_width, key, line_type, color, enhanced3D (3D only) #1 #2 #3 #4 quadrilateral #1 #2 #3 #4 quadrilateral :

[Maxima Draw2D]  rectangle(l1,l2)  Rechteck gegeben durch Koordinatenlisten (x,y) gegenüberliegender Ecken.
Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type, color [Maxima Draw2D]  rectangle(l1,l2)  specified by lists (x,y) of opposite corners.
Special options: transparent, fill_color, border, line_width, key, line_type, color #1 #2 rectangle #1 #2 rectangle :

[Maxima Draw2D] region(expr,x,xmin,xmax,y,ymin,ymax) Füllt das Gebiet wo expr wahr (true) ist im
Bereich von xmin, xmax, ymin, ymax. Optionen: fill_color, key, x_voxel, y_voxel [Maxima Draw2D] region(expr,x,xmin,xmax,y,ymin,ymax) Fills the region where expr is true in the
domain given by xmin, xmax, ymin, ymax. Options: fill_color, key, x_voxel, y_voxel #1 #2 #3 #4 #5 #6 #7 region #1 #2 #3 #4 #5 #6 #7 region :

spherical() funktioniert nicht

[Maxima Draw2D/3D] triangle(l1,l2,l3)  Dreieck, gegeben durch Koordinatenlisten (x,y) (2D) oder (x,y,z) (3D) der Ecken.
Spezielle Optionen: transparent, fill_color, border, line_width, key, line_type, color [Maxima Draw2D/3D] triangle(l1,l2,l3)  given by co-ordinate lists (x,y) (2D) or (x,y,z) (3D) of the corners
Special options: transparent, fill_color, border, line_width, key, line_type, color #1 #2 #3 triangle #1 #2 #3 triangle :

[Maxima Draw3D]  tube(fx,fy,fz,fr,p,pmin,pmax)  Röhre, gegeben durch Mittellinie mit fx,fy,fz und den Radius fr
als Funktionen des Parameters p.
Spezielle Optionen:  xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d, 
color,tube_extremes. [Maxima Draw3D]  tube(fx,fy,fz,fr,p,pmin,pmax)  tube, given by functions fx,fy,fz of the centerline and radius function fr
pf parameters p.
Special options:  xu_grid, yv_grid, line_type, line_width, key, wired_surface, enhanced3d, 
color,tube_extremes. #1 #2 #3 #4 #5 #6 #7 tube #1 #2 #3 #4 #5 #6 #7 tube :

[Maxima Draw2D/3D]  vector(l1,l2)  Pfeil,  gegeben durch Koordinatenlisten (x,y) (2D) oder (x,y,z) (3D) der Endpunkte.
Spezielle Optionen:  head_both, head_length, head_angle, head_type, line_width, line_type, key 
color. [Maxima Draw2D/3D]  vector(l1,l2)  given by co-ordinate lists (x,y) (2D) or (x,y,z) (3D) of the end points.
Spezielle Optionen:  head_both, head_length, head_angle, head_type, line_width, line_type, key 
color. #1 #2 vector #1 #2 vector :

[Maxima]  set(e1, e2,...) Maxima set (Liste in geschweiften Klammern) [Maxima]  set(e1, e2,...) Maxima set (in Maxima this is a list in curly braces)_set_set :

[Maxima] args(expr) Liste der Argumente von expr [Maxima] args(expr) list of the top level arguments of expr_args_args :

Sonstige

[Maxima] true true :

[Maxima] false false :

draw e x ^ x 1 - 3 explicit color red ≡ key parametrisch ≡ 2 r cos * r 2 ^ r 0 2 π * parametric key_pos top_left ≡ 5 1 sys d018.png 200 160 2 1 sys Draw2D draw

obj nticks 100 ≡ 5 u * cos (2^7 u * sin u 2 - u 02 parametric color red ≡ 0.1 t * t sin t cos t 04 π * parametric view 703021 sys ≡ xtics 0.5 ≡ ytics 0.5 ≡ ztics 1 ≡ 81 sys :

obj d019.png 200 200 2 1 sys Draw3D draw

obj user_preamble set style fill transparent solid 0.65 border set view 120, 357, 1.75, 1.0 21 sys ≡ axis_3d false ≡ colorbox false ≡ enhanced3d true ≡ xu_grid 51 ≡ yv_grid 51 ≡ xtics none ≡ ytics none ≡ ztics none ≡ wired_surface true ≡ color black ≡ fx fy fz u 4.5 - 4.5 v 0.05 π 0.05 - parametric_surface 121 sys :

a 1 :

fx 2 a * u cos u u sin * + (* v sin * 1 u 2^v sin (2^* + / :

fy 2 a * u sin u u cos * - (* v sin * 1 u 2^v sin (2^* + / :

fz a v 2 / tan ln * 2 v cos * 1 u 2^v sin (2^* + / + :

draw obj 1000 700 2 1 sys Draw3D draw

fz u v sin * u 3 + 8 / π * (2^- 20 - :

fx u 2 / u cos * v cos 1 + (* :

fy u 2 / u sin * v cos 1 + (* :

obj user_preamble set view 100, 320, 1, 1.5 11 sys ≡ xu_grid 150 ≡ yv_grid 25 ≡ fx fy fz u 013 π * v π - π parametric_surface surface_hide true ≡ xyplane 0 ≡ 61 sys :

# MaximaLog Received Bytes: 42
(%i36) draw3d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/pgmfamqw$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 1000,700$,$set encoding utf8$,$set style fill transparent solid 0.65 border$,$set view 120, 357, 1.75, 1.0$],axis_3d=false,colorbox=false,enhanced3d=true,xu_grid=51,yv_grid=51,xtics=none,ytics=none,ztics=none,wired_surface=true,color=black,parametric_surface((2*(u*sin(u)+cos(u))*sin(v))/(1+u^2*(sin(v))^2),(2*(-u*cos(u)+sin(u))*sin(v))/(1+u^2*(sin(v))^2),(log(tan(v/2))*(1+u^2*(sin(v))^2)+2*cos(v))/(1+u^2*(sin(v))^2),u,-9/2,9/2,v,1/20,(20*%pi-1)/20)]);
(%o36) [gr3d(parametric_surface)]

obj d022.png Draw3D draw draw

obj line_width 2 ≡ 1121 sys 2221 sys 5121 sys 4021 sys quadrilateral 327264554452 mat args polygon fill_color yellow ≡ color green ≡ 2 3.5 21 sys 5 2.5 21 sys rectangle color black ≡ 35210270 ellipse fill_color light_blue ≡ 4121 sys 6121 sys 7421 sys triangle proportional_axes xy ≡ 111 sys :

obj d024.png 300 300 2 1 sys Draw2D

proportional_axes xy ≡

draw draw

cm enhanced3d true ≡ 00031 sys 10231 sys 01231 sys 11031 sys quadrilateral xyplane 0 ≡ 31 sys :

p cm Draw3D :

p draw

cm line_width 6 ≡ line_type dots ≡ fill_color blue ≡ 2 - 2 - 21 sys 71 - 21 sys rectangle transparent true ≡ line_type solid ≡ line_width 1 ≡ 9421 sys 2 1.5 - 21 sys rectangle xrange 3 - 1021 sys ≡ yrange 3 - 4.5 21 sys ≡ proportional_axes xy ≡ 111 sys :

p cm Draw2D :

p draw

R 1 x abs y abs + > ((:

R x 2^y 2^+ (12 / 1 ltlt (:

obj x_voxel 30 ≡ y_voxel 30 ≡ R x 32 / - 32 / y 32 / - 32 / region proportional_axes xy ≡ 41 sys :

obj d028.png 200 200 2 1 sys Draw2D draw

cmds user_preamble set view 60, 30, 1.0, 1.2 11 sys ≡ 1 azi 02 π * zen 0 π spherical xyplane 0 ≡ 31 sys :

p cmds spher.png Draw3D :

# MaximaLog Received Bytes: 106
(%i42) draw3d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/xw4b22fh$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 302.36,241.89$,$set encoding utf8$,$set view 60, 30, 1.0, 1.2$],spherical(1,azi,0,2*%pi,zen,0,%pi),xyplane=0]);
draw: 3D graphic object not recognized, mqapply
 -- an error. To debug this try: debugmode(true);

p draw

p 1121 sys 2221 sys 3021 sys triangle proportional_axes xy ≡ 21 sys 20020021 sys Draw2D :

p draw

a 2.5 :

b 1.5 :

c 2 :

d 3 :

bottle color blue ≡ 00 a - (t sin * a b t cos * + t 0 π 2 / tube 00 a - (t sin * a b t cos * + t π 2 / π tube color red ≡ 00 d t * a b t cos * + t 0 π tube color forest_green ≡ c c t cos * - 0 d t * a b - t 0 π tube color magenta ≡ c c t cos * - 0 d π * c t sin * + a b - t 0 π tube 91 sys :

draw

obj xu_grid 11 ≡ yv_grid 20 ≡ xyplane 0 ≡ surface_hide true ≡ proportional_axes xyz ≡ bottle view v1 100 v2 - 21 sys ≡ 71 sys :

v1 v2 obj d032.png 250 250 2 1 sys Draw3D

cm xu_grid 11 ≡ yv_grid 20 ≡ xyplane 0 ≡ surface_hide true ≡ proportional_axes xyz ≡ obj view v1 v2 21 sys ≡ 71 sys :

p cm draw_tube2 Draw3D :

# MaximaLog Received Bytes: 48
(%i45) draw3d([background_color=$#fefefe$,file_name=$C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/irqzgjr4$,terminal=png,user_preamble=[$set term pngcairo font ',8' enhanced size 302.36,241.89$,$set encoding utf8$],xu_grid=11,yv_grid=20,xyplane=0,surface_hide=true,proportional_axes=xyz,[xu_grid=11,yv_grid=20,xyplane=0,surface_hide=true,proportional_axes=xyz,[color=blue,tube(0,0,-(5*sin(t))/2,(5+3*cos(t))/2,t,0,%pi/2),tube(0,0,-(5*sin(t))/2,(5+3*cos(t))/2,t,%pi/2,%pi),color=red,tube(0,0,3*t,(5+3*cos(t))/2,t,0,%pi),color=forest_green,tube(2*(1-cos(t)),0,3*t,1,t,0,%pi),color=magenta,tube(2*(1-cos(t)),0,3*%pi+2*sin(t),1,t,0,%pi)],view=[77,47]],view=[77,53]]);
(%o45) [gr3d(tube,tube,tube,tube,tube)]

Darstellung als Gitternetz mit verdeckten Kanten

draw

obj user_preamble set style fill transparent solid 0.5 border set view 60, 30, 1.3, 1.1 21 sys ≡ xu_grid 50 ≡ yv_grid 29 ≡ enhanced3d t t 21 sys ≡ xyplane 0 ≡ surface_hide true ≡ proportional_axes xyz ≡ cbtics 0021 sys pi π 21 sys set ≡ obj 91 sys :

obj d033.png 250 250 2 1 sys Draw3D

Darstellung als transparente Fläche mit dem Längenparameter als Farbwert