Mutetrahedron

18 September, 2021

6-Colouring

666666

Loop Cycles

\((f_1,f_3,f_5)\;\)\((f_2,f_4,f_6)\;\)

Gyre Multipliers

\(-\)

Growth

Single Tile Boundary Vertices

Topology Type

Infinite Genus

Skeleton Type

Diamond Lattice (dia)

Files

graphML Download

Embedding

Notes

This Mutetrahedron is one of the three regular skew apeirohedra in 3-dimensions. See also wikipedia.

Like the Tilegraph of the Tetrahedron the Tilegraph of the Mutetrahedron is formed by a n-colouring consisting of only fixed colors. The two loop cycles are formed by crossing every second color of the n-colouring once.

Other apeirohedra can be found here