Elaborate Multiplex With Hooks And Cavities

An intricate fractal with cavities and hooks. See the youtube video:

https://www.youtube.com/watch?v=vtUJlGSeV_s

for information about how this shape was generated by a continuous cellular automata, as well as information about other kaleidoscopic fractals that can be made by similar systems.

https://sites.google.com/site/richardsouthwell254/home

These systems can be used to generate evolving multicolored fractals and beautiful three dimensional shapes. The idea behind the systems is that each cell takes a value between zero and one, and each time step we update the value of each cell (simultaneously) using a simple rule based upon averaging. In the video I explain how the systems can be used to generate beautiful multicolored fractals which evolve through time. The way the system runs is just determined by a single parameter value, and if one changes this parameter then the generate pattern shifts in a very intricate and aesthetically pleasing way. I also describe how thre