Contour Plots

Contour Plots - Messages

#1 Posted: 3/28/2019 6:44:11 PM
Dionysios J. Pantazis

Dionysios J. Pantazis

16 likes in 179 posts.

Group: User

Greetings all-

I am starting a new thread to start a discussion about contour plots. The discussions about contour plots that I have found here so far have been about some pretty high level math that I am not familiar with.

I am trying to visualize the results of an interaction equation. MathCad was pretty efficient at making contour plots of 3D plots.

PileFactorMCad.PNG

I thought it might be pretty straight forward to recreated it in SMath not realizing the approach would involve some really creative and advanced solution solving. Thanks to all who dove in to show me ways to do this.

I then tried to plot it as a 3D plot, which I had never done before. After tweaking the axis' a bit, this is my result

PileFactor_Surface.PNG

The isolines/contours as you can see are actually pretty well defined.

PileFactor-3d_Dtl.PNG

1. Now I am trying to work out how to do the isolines solved as a pair of range series.

2. Figure out how to incorporate Razonar's graph formatting examples to 3D plots.
https://en.smath.com/forum/yaf_postsm46993_Bresenham-Algorithm.aspx#post46993


PileRedux_Factor-2.sm (4 KiB) downloaded 61 time(s).
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#2 Posted: 3/28/2019 10:07:27 PM
Jean Giraud

Jean Giraud

983 likes in 6866 posts.

Group: User

Some comments:
1. Smath plots contour directly from f(x,y) ... plot argument f
2. Not twoo many maths functions make sense
3. Smath does not have 3D matrix plot.
4. Smath 3D plot is only surface.
5. Generally does not save settings.
6. Ranges from hardly acceptable to "crapot".

crapot.PNG
#3 Posted: 3/28/2019 10:29:56 PM
Alvaro Diaz Falconi

Alvaro Diaz Falconi

992 likes in 1674 posts.

Group: User

Hi.

Wrote

... The discussions about contour plots that I have found here so far have been about some pretty high level math that I am not familiar with.



This is very simple setup, but looks to me like a cheat over Viachislev's XY plot, and I'm not sure if this setup is 'correct'. Maybe uni or someone else can say that.

Contour X_Y plot.sm (11 KiB) downloaded 63 time(s).

xyplot.gif

Wrote

... 2. Figure out how to incorporate Razonar's graph formatting examples to 3D plots.
https://en.smath.com/forum/yaf_postsm46993_Bresenham-Algorithm.aspx#post46993



Bresenham's plots are intended for use within a 2D milling CNC machine :-) Or just show to the students how can implement that, because I refuse to show those things to students in C.

Best regards.
Alvaro.
2 users liked this post
sergio 3/29/2019 7:22:00 AM, Arie 3/29/2019 11:36:00 AM
#4 Posted: 3/28/2019 11:02:17 PM
Martin Kraska

Martin Kraska

1222 likes in 2150 posts.

Group: Moderator

A starting point in Maxima/Gnuplot

PileRedux_Factor-2_Kr.png
PileRedux_Factor-2_Kr.sm (192 KiB) downloaded 67 time(s).
Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
3 users liked this post
Dionysios J. Pantazis 3/29/2019 12:20:00 AM, sergio 3/29/2019 7:22:00 AM, Arie 3/29/2019 11:36:00 AM
#5 Posted: 3/29/2019 12:23:57 AM
Dionysios J. Pantazis

Dionysios J. Pantazis

16 likes in 179 posts.

Group: User

Martin-

I feel even stupider still I am having trouble finding documentation for these functions.

Where should I be looking to read up to understand the parameters and controls on these?

Am I missing some documents or references in my installation?

Dennis
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#6 Posted: 3/29/2019 10:36:44 AM
Martin Kraska

Martin Kraska

1222 likes in 2150 posts.

Group: Moderator

Wrote



Where should I be looking to read up to understand the parameters and controls on these?



You can download the SMath Handbuch (PDF) or the Interactive Handbook (interlinked SMath sheets) from the extension manager. There you find extensive material and examples on the graphics objects and options of the "draw"-package in Maxima.

Also, the original Maxima documentation on that package might be useful.
Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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