5f26b0e9-7d74-40df-b8e7-f3c28e45a643 18 4 5 decimal

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

Fourier coplanar circles/ellipses

=> COMPLEX

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 :

Tools=>Options=>Calculation COMPLEX Close Smath, open Smath

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 :

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 :

pad 20 :

Y transpose 100000000000000000000000000000000000001139 mat

U Y ifft mat2sys sys2mat :

ø 2 :

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

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

pts 1 1 sys

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

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

oblate prolate 2 1 sys