53d2cc77-1310-45be-9e78-f2d62230b220 8 6 9 decimal

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

pad 12 : star pointes ≡

Star & centered circle Y n 2 pad * 1 - (: i pad n range Y i el 1 : for i pad 1 + (n range Y i el 0 : for Y 41 line :

Global points specs algo data spec pts i 1 data rows range p i el char size clr spec : for v p 1 el : Unest 'p' j 2 p rows range v v p j el stack : for data v augment 51 line :

Fourier "ifft" from padded created vector [Numeric] v ifft N v length : n 0 N range I n 1 + el 1 N sqrt / v k 1 + el e i 2 π * n * N / (* k * -^* (k 0 N 1 - sum eval * : for I 31 line :

For the nth branch "star" Tools=>Options=>Calculation AUTO close Smath, open Smath.

U Y ifft mat2sys sys2mat :

a U Re mat2sys sys2mat : b U Im mat2sys sys2mat : 21 line

ab a b augment : char size clr spec . 14 red 13 mat : pts ab char size clr spec pts : 31 line

ab pts 2 1 sys

Y 000100017 mat transpose :

U Y ifft mat2sys sys2mat :

a U Re mat2sys sys2mat : b U Im mat2sys sys2mat : 21 line

ab a b augment : char size clr spec . 14 red 13 mat : pts ab char size clr spec pts : 31 line

ab pts 2 1 sys

0.447214 0 0.361803 - 0.262866 - 0.138197 0.425325 0.138197 0.425325 - 0.361803 - 0.262866 0.447214 062 mat

The population of the '0' padding 
sets the size of the coplanar
Circles  have  2*pad  points Y n 2 pad * 1 - (: i 1 n range Y i el 1 : for i 2 n 1 - range Y i el 0 : for Y 41 line :

pad 12 :

U Y ifft mat2sys sys2mat :

a U Re mat2sys sys2mat : b U Im mat2sys sys2mat : 21 line

Y transpose 10000000000000000000001123 mat

ø 1 :

ab ø a * ø b * augment : char size clr spec . 12 red 13 mat : circle ab char size clr spec pts : 31 line

Single coplanar circle

ab circle 2 1 sys

ab ø a * b augment : char size clr spec . 9 blue 13 mat : ellipse ab char size clr spec pts : 31 line

Single coplanar ellipse

circle ellipse 2 1 sys