[xmsfbmeq] inscribed polygons

concentrically inscribe a regular M-gon inside a regular N-gon.  rotate their relative orientation and reinscribe, adjusting the size of only the inner polygon so that it just fits in the outer which remains constant size.  if the inner polygon keeps the same orientation and only the outer polygon rotates, then the inner polygon will pulsate in size.

if M and N are relatively prime, then the pulsations might be complicated, with different inner vertices interacting with different outer edges.

consider more than just two polygons.  only the outermost polygon stays the same size.  the relative speeds matter.

interesting might be an N-gon inside an M-gon inside an N-gon, and only the middle M-gon rotates.

the innermost polygon could be a circle, representing the final size inside all the inscriptions.