This nifty graphics gem started with a contribution by Paul Villain to the MATLAB 2022 Mini Hack, currently taking place on
MATLAB Central.
Contents
modfun
Villain's contribution is
102 mod 500 . My rewrite is
modfun. Villain's 102 and 500 become the parameters m and n.
modfun(m,n) connects n points, z(j), equally spaced around the complex unit circle, by n+1 straight lines. The j-th line connects z(j+1) to z(mod(j*m,n)+1).
code
The basic code uses complex arithmetic and is only eight lines long. When the graphics is done with line instead of plot, it is not necessary to use hold on.
function modfun(m,n) init_fig z = exp(2i*pi*(0:n)/n); for j = 0:n zj = [z(j+1),z(mod(j*m,n)+1)]; line(real(zj),imag(zj)) end endThe initialization makes line possible.
function init_fig axis([-1 1 -1 1]) axis square axis off end
Animation
This animation of modfun(105,200) has one frame for every five lines.
Gallery
A sample.
Quiz
Match these calls to modfun to the plots in the Gallery.
modfun(88,179) modfun(89,220) modfun(99,200) modfun(101,200) modfun(111,200) modfun(113,188) modfun(126,188) modfun(126,200)
More...