Octagonal Stacked Honeycomb

03 February, 2023

8-Colouring

28642864

Loop Cycles

\((f1,f2)\;\)\(3\mathord*(t_1)\;\)\(3\mathord*(t_1-,t_3-)\;\)\(2\mathord*(t_2)\;\)\(3\mathord*(t_3)\;\)

Gyre Multipliers

\(-\)

Growth

Single Tile Boundary Vertices

Topology Type

Toroidal

Skeleton Type

Unknown

Files

Embedding

Notes

Stacked honeycomb made up of octagonal tiles with a skeleton that contains nodes of valence 12 and 3.

Dual Group

\(G_d=\)	\(\left\langle \: S_d \:\middle\|\:R_d\:\right\rangle\)
\(S_d=\)	\({f_1},\:\)\({f_2},\:\)\({t_1},\:\)\({t_2},\:\)\({t_3}\)
\(R_d=\)	\({f_1}^2,\:\)\({f_2}^2,\:\)\(({f_1}{t_1})^2,\:\)\(({t_1}{t_2})^2,\:\)\(({t_3}^{-1}{f_2})^2,\:\)\(({t_3}^{-1}{t_2})^2,\:\)\({t_1}^3,\:\)\({t_2}^2,\:\)\({t_3}^3,\:\)\({f_2}{f_1},\:\)\(({t_3}^{-1}{t_1}^{-1})^3\)
\(\|G_d\|=\)	\(Infinite\)