{4,3,∞} Domains

{4,3,∞} Domains

This is one way to picture the simplex domains of the {4,3,∞} reflection group. To understand the meaning of {4,3,∞}, see the paper Visualizing Hyperbolic Honeycombs.


The domains are colored light/dark based on their depth mod 2 in domain adjacency graph (also described in the paper).

If the domains were drawn filled, we would instead see coloring on the surface of a ball, but I trimmed them by growing spheres that cut into each simplex from its 4 vertices.


  1. It looks like a bunch of Eiffel Towers stuck together at the top.


Post a Comment

Popular posts from this blog

Hyperbolic Hopf Fibrations

Helicoid in H^3

(2 3 7) Triangles and Klein's Quartic