Emergent Impossible Fractal Geometry
A 4-State Cellular Automaton on Triangular Tessellations
A four-state cellular automaton using seven consecutive cells from the preceding row. The Selmi 2009 rule table has 78 transitions. Rendering the rows on a triangular tessellation can suggest solid forms and impossible geometry under isometric projection. Among its outputs is the fractal Penrose tribar, with recurring triangular structure.
Constructions by Nidhal Selmi, with the attributed Kitaoka 2010 variant. Choose a construction and seed variant below.
How to use:
Press Generate to run the automaton.
Edit the Init string to change the seed (W is the background state; the palette assigns colors to W, R, G, B, and diagnostic K).
Adjust Rows to control evolution depth.
Hover over any triangle to inspect its neighborhood and matching rule.
Click a triangle to load its rule into the editor.
Use Export SVG for the drawing, or Export world to save every setting for Import world.