Pentagonal Trapezohedron (Icosahedron)
27 September, 2021
4-Colouring
1344
Loop Cycles
Gyre Multipliers
Growth
Single Tile Boundary Vertices
Embedding
Notes
Topologically the pentagonal trapezohedron tilegraph is only missing a subdivision of all its regular faces, a chord always connecting the same two vertices in the 4-coloured tile, for its undirected tilegraph to become isomorphic with the icosahedron. Such an internal subdivision of a tile is called an Infratiling.