Rkadapt

762fe48d-79c6-465f-88d7-f07f84a8a4d4 12 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

Radial plot is essentially built from Rkadapt suject to user parameters [radius,t0,t1,N]

Rkadapt collapsed

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radius circle
-------- Y0 02031 mat :

t0 0 : t1 2 π * : N 24 : 31 line

Rkadapt

Rename: Y => .. else variable name t u D u 2 el u 3 el 1 u 1 el (2^- (* u 2 el * (u 1 el - 031 mat :

Either 'rkfixed' or 'Rkadapt' s Y0 t0 t1 N t u D Rkadapt :

x s 1 col : X s 2 col : Y s 3 col : 31 line

U x X augment : V x Y augment : XY X Y augment : 31 line

U U . 10 blue plot : V V . 10 red plot : polar XY . 10 green plot : 31 line

polar U V 2 1 sys Radial Construction

Core component of the stem style P v replicate k 1 : i 1 v length range P i el 1 ≡ continue j 1 P i el range T k j + el v i el : for k k P i el + : 21 line if for T 31 line :

Stem construction vy stem N vy length : i 1 N range q i el 3 : q N el 2 : 21 line for 11 line i 1 N range v i el i : for i 1 N range S 3 i * el vy i el : for u q v replicate : V u S augment : V V 3 V rows 12 submatrix : 71 line :

SOL X Y augment : radial SOL 1 col stem 2 col SOL 2 col stem 2 col augment : 21 sys

Circle ± definition a x C a 2^x 2^- sqrt ± :

User circles over radial mesh

2 x C 1.5 x C 0.75 x C radial 4 1 sys

Native radial plot

radial 2 1 sys

Lissajous

t fX 1 t sin * : t fY 12 t * sin * : 21 sys

start 0 : end 2 π * : 12 mat t start end start 0.01 + (range : 21 sys

i 1 t rows range X i el t i el fX eval : for

i 1 t rows range Y i el t i el fY eval : for

2d rotation of a data set

Lissajous X Y augment :

L H N xd i 1 N range x i el L i H L - N / * + : for x 21 line :

θ rot θ cos θ sin - θ sin θ cos 22 mat :

Lissajous 0.5 Y * 1 X * augment 2 1 sys

θ π - 2 / :

θ 1.5708 -

t 02 π * 50 xd :

a 0.5 :

G i 1 t rows range vx i el a t i el sin * : vy i el a t i el sin * t i el cos * : 21 line for vy vx augment 21 line :

Rot G θ rot * :

zoom 10 :

x y axes x y / - :

G Rot axes 3 1 sys

G 0.062 0.063 0.12 0.124 0.171 0.184 0.211 0.241 0.238 0.294 0.25 0.342 0.246 0.385 0.226 0.422 0.193 0.452 0.147 0.476 102 mat

2d plot in Smath native 3D

G zoom * Rot zoom * 2 1 sys

x c 13 - x ≤ (x 3 ≤ (& cases :

Native radial plot

x abs sqrt x c * radial 2 1 sys axes radial 2 1 sys radial 3 *