Pentagonal Trapezohedron (Icosahedron)

Pentagonal Trapezohedron (Icosahedron)

27 September, 2021

4-Colouring

1344

n-colouring 1344

Loop Cycles

\(-\)

Gyre Multipliers

\(5*gyre_2\)

Growth

Single Tile Boundary Vertices

Topology Type

Spherical

Skeleton Type

Point

Files

graphML Download

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.