Stem & RK Vector

4fa23a8c-4ab7-4c4a-a2a8-085b5a9ed2c0 29 6 9 decimal

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Stem & RK Vector

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 :

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 :

r1 1.5 : inner circle radius ≡

Nradial 12 : divide in N sectors ≡

Radial Grid Construction

Great circle for radial s 02031 mat 02 π * Nradial t u D Rkadapt : R s 2 col s 3 col augment : radial R 1 col stem 2 col R 2 col stem 2 col augment : 31 line

Great circle C 02031 mat 02 π * 72 t u D Rkadapt : C C 2 col C 3 col augment : 21 line

Inner circle c1 0 r1 031 mat 02 π * 72 t u D Rkadapt : c1 c1 2 col c1 3 col augment : 21 line

Lissajous preparation t fX 1.5 t sin * : t fY 0.75 2 t * sin * : start 0 : end 2 π * : 12 mat t start end start 0.01 + (range : 41 line

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

Lissajous X Y augment :

Point Lissajous 100 row :

radial C c1 Lissajous Point 5 1 sys

plot spec's radial C c1 Lissajous Point 51 sys

Unform ...  -1 < rnd < 1 n rnd μ n 11 line : 2 μ Random * 1 - 21 line :

'N' decimals ...Uniform ... -1 < rnd < 1 n N Nrnd i 1 n range r i el n rnd i el N round : for r 21 line :

vx 0.21 - 0.39 - 0.15 - 0.77 - 0.93 0.06 0.67 0.51 - 0.53 0.53 0.86 - 0.89 0.96 - 0.35 - 0.48 - 0.99 - 0.37 0.74 - 0.59 - 0.34 - 0.45 - 0.15 - 0.37 - 0.81 - 0.03 - 0.66 - 0.96 0.42 0.23 0.17 - 0.37 0.03 - 0.38 - 0.53 - 0.34 0.71 - 0.04 - 0.48 - 0.76 - 0.72 0.07 - 0.68 0.76 0.23 0.74 0.3 - 0.42 0.36 0.86 0.1 - 0.97 0.36 0.48 - 0.21 - 0.53 - 0.87 - 0.22 - 0.81 0.08 0.13 - 0.23 0.02 - 0.34 0.81 0.95 - 0.76 0.44 - 0.38 - 0.57 - 0.68 0.4 0.83 - 0.72 731 mat :

vy 0.16 0.97 - 0.48 - 0.36 - 0.65 - 0.33 - 0.91 - 0.55 - 0.54 - 0.98 0.7 - 0.07 0.7 - 0.81 - 0.59 0.15 0.7 0.12 - 0.41 0.31 0.99 - 0.34 0.41 - 0.76 0.19 - 0.37 - 0.86 - 0.65 - 0.22 - 0.65 0.66 - 0.82 0.33 - 0.4 0.75 0.24 - 0.71 0.17 - 0.59 0.66 0.94 - 0.1 - 0.21 0.67 - 0.7 - 0.52 0.88 - 0.11 - 0.31 0.57 - 0.46 0.18 - 0.31 - 0.05 0.56 0.43 0.82 0.65 0.35 - 0.03 0.62 - 0.54 0.56 - 0.91 - 1 0.45 0.25 0.26 - 0.75 0.62 0.81 0.18 - 0.37 - 731 mat :

vx 732 Nrnd : vy 732 Nrnd : Random c1 1 col vx 5 / + (c1 2 col vy 5 / + (augment : 31 line

c1 3 col vy + #

radial C c1 Random 4 1 sys

If you muff the plot: you must respecify. TIP: make it "muffed", copy/paste Lissajous remove point, change Lissajous for Random. NOTE: construct c1 one less point in Rkadapt than the [vx, vy] random vectors. To refrsh the plot: click on 'rnd', F9