<p> plot(data,a,b,c) </p>

35ddcaec-7b2a-4758-9254-7feb116e9f72 8 15 12 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 : 13 mat for data r3 r4 r5 augment 21 line :

n 18 :

observe: d [1, 2, 3, 4 ... 11] d 3 :

P 0 : P 02 matrix : j 1 n 1 + (range φ 360 ° * j n / * d * eval : P P φ sin φ cos 12 mat stack : 21 line for 31 line

vertices P . 14 red plot :

P vertices 2 1 sys

isolate P P :

P rows 19

d ≡ 1 pentagon
d ≡ 2 pentastar d 2 :

n 5 :

P 02 matrix : j 1 n 1 + (range φ 360 ° * j n / * d * eval : P P φ sin φ cos 12 mat stack : 21 line for 21 line

P 0.587785252292477 0.809016994374945 - 0.951056516295153 - 0.309016994374948 0.951056516295152 0.309016994374951 0.587785252292443 - 0.80901699437497 - 2.79318668888751 1014 -^* 1 0.587785252292479 0.809016994374943 - 62 mat

shadow in context
wrt i [imaginary] 0.951057 i 0.309017 * + arg 0.587785 i 0.809017 * - arg 21 mat ° 1854 - 21 mat

δ 18 ° * 54 ° * + (: ° 72

p 5 : q 2 : 12 mat

circumradius r p 2 q * - 2 p * / π * sin 2 q * p / π * sin / eval : 0.526

α 0.52762076138014 :

x r circ 1 r r 2^(* x 2^- sqrt * ± :

vertices P . 14 red plot :

P vertices 0 0.75 θ 36° 12 black 1 5 mat 0.5 0.125 - δ 72° 12 black 1 5 mat 0.5 - 0.5 - φ 36° 12 black 1 5 mat x r circ 6 1 sys

V 0 0.25 0 0.25 - 22 mat :

H 0.25 - 0 0.25 022 mat :

plot P 1212 submatrix P 2312 submatrix P 3412 submatrix P 4512 submatrix P 5612 submatrix 51 sys :

plot 1 1 sys

star P : 0.587785252292477 0.809016994374945 - 0.951056516295153 - 0.309016994374948 0.951056516295152 0.309016994374951 0.587785252292443 - 0.80901699437497 - 2.8 1014 -^* 1 0.587785252292479 0.809016994374943 - 62 mat

v1 0.951056516295152 0.309016994374951 0.587785252292443 - 0.80901699437497 - 22 mat :

v2 01 0.587785252292479 0.809016994374943 - 22 mat :

a1 v1 1 col v1 2 col Intercept (: b1 v1 1 col v1 2 col Slope (: 21 mat 0.382 - 0.727 21 mat

a2 v2 1 col v2 2 col Intercept (: b2 v2 1 col v2 2 col Slope (: 21 mat 1 3.078 - 21 mat

x f a1 b1 x * + : x q a2 b2 x * + : 21 sys

X x f x q - x 0.25 0.5 solve : 0.363271264002686

X f 0.118 -

U star 32 el X + 3 / : V star 32 el : 12 mat

0 r circ 0.381193527753388 0.381193527753388 - 21 sys

circXY U - V U V X X f 00 r circ 2 el X - X f 52 mat : 0.224096 - 0.309017 0.224096 0.309017 0.363271 0.118034 - 0 0.381194 - 0.363271 - 0.118034 - 52 mat

star x r circ circXY . 14 black plot vertices 4 1 sys

star x r circ circXY . 14 black plot vertices 41 sys

X circXY 1 col : Y circXY 2 col : 12 mat nodes circXY 1 col : nodes nodes 3 round vectorize : NodesLabel nodes var2str vectorize : n X rows : 51 line

Vect(sizechar,n)... Vect(colorchar,n) size n Vect n 1 ≡ size ct 1 : j 1 n range a ct 1 el size : ct ct 1 + : 21 line for v a 1 el : k 2 a rows range v v a k el stack : for v 51 line if :

plot symbol converted2Numbers

symbol color

nodes_label X 2 round vectorize Y 2 round vectorize NodesLabel 12 n Vect red n Vect augment :

decimals 6 :

coordsIntersection X decimals round vectorize Y decimals round vectorize augment : 0.224096 - 0.309017 0.224096 0.309017 0.363271 0.118034 - 0 0.381194 - 0.363271 - 0.118034 - 52 mat

star x r circ circXY . 14 black plot vertices nodes_label 5 1 sys

nodes_label 0.22 - 0.31 -0.224 12 red 0.22 0.31 0.224 12 red 0.36 0.12 - 0.363 12 red 0 0.38 - 012 red 0.36 - 0.12 - -0.363 12 red 55 mat