Accidentally running a checkerboarded square as a linear polar and then performing a polar to cartesian transformation, with repeats, yields inwardly folding patterns.
first
second
third
fourth
fifth time
The pattern continues to collapse; five steps are enough to see that happen.
n.b.: Your results will vary with the transformer that is used.
The left side is the inverse of the right side - or maybe the right side is the inverse of the left side?
ReplyDeleteOne of those!
DeleteVery neat to see what happens when you iterate.
DeleteThe first one, when slid by quickly on my mobile device, seems to produce yellow colors in the what are white blocks.
ReplyDeleteAnyone else notice this?