Nice! The Heighway dragon is the smallest (nontrivial) element in the set of curves generated by "folding morphisms" (that name is by Michel Dekking). A recent search gave a total of 441272 such curves for all orders R <= 53, see https://oeis.org/A296148 I can make the data available if you want to have a rather insane amount of possibilities added to your page. Stopping at, say, order R=13 already gives a pretty decent collection of shapes. Best regards, jj * Tom Karzes <karzes@sonic.net> [Feb 06. 2018 17:37]:
I've cleaned up my Heighway/twin dragon curve page a bit, and added filled twindragons. Here are some examples:
http://www.karzes.com/dragon/dragon.html?style=rect&form=f http://www.karzes.com/dragon/dragon.html?style=dart&form=f http://www.karzes.com/dragon/dragon.html?style=rect&variant=1&form=h
They're all the same page, with parameters that you can vary.
Tom [...]