Hendecagonal Triply Periodic II

04 April, 2023

11-Colouring

110011006031111081105

Loop Cycles

\(2\mathord*(t_1-,f2)\;\)\(2\mathord*(t_2-,f1)\;\)\(2\mathord*(t_3)\;\)\(2\mathord*(t_4)\;\)

Gyre Multipliers

\(-\)

Growth

Single Tile Boundary Vertices

Topology Type

Infinite Genus

Skeleton Type

Skipped Cubic (nbo)

Files

Embedding

Notes

Beautiful non-self-intersecting hendecagonal tiling of a triply periodic surface wrapping around the skipped cubic grid.

Dual Group

\(G_d=\)	\(\left\langle \: S_d \:\middle\|\:R_d\:\right\rangle\)
\(S_d=\)	\({f_1},\:\)\({f_2},\:\)\({f_3},\:\)\({t_1},\:\)\({t_2},\:\)\({t_3},\:\)\({t_4}\)
\(R_d=\)	\({f_1}^2,\:\)\({f_2}^2,\:\)\({f_3}^2,\:\)\({t_1}^3,\:\)\({t_2}^3,\:\)\({t_1}{t_3}{t_2},\:\)\({t_4}^{-1}{f_2}{f_1},\:\)\({t_4}^{-1}{f_3}{t_3},\:\)\({t_3}^2,\:\)\({t_4}^2,\:\)\(({t_1}{f_2})^2,\:\)\(({t_2}{f_1})^2\)
\(\|G_d\|=\)	\(Infinite\)