Enneagonal Tiling of P-Surface

Enneagonal Tiling of P-Surface

27 March, 2023

9-Colouring

399639969

n-colouring 399639969

Loop Cycles

\(4\mathord*(t_1)\;\)\(2\mathord*(t_1-,f4)\;\)\(4\mathord*(t_2)\;\)\(2\mathord*(t_2-,f1)\;\)

Gyre Multipliers

\(-\)

Growth

Single Tile Boundary Vertices

Topology Type

Infinite Genus

Skeleton Type

Primitive Cubic Lattice (pcu)

Files

graphML Download

Embedding

Dual Group

\(G_d=\)\(\left\langle \: S_d \:\middle|\:R_d\:\right\rangle\)
\(S_d=\)\({f_1},\:\)\({f_2},\:\)\({f_3},\:\)\({f_4},\:\)\({f_5},\:\)\({t_1},\:\)\({t_2}\)
\(R_d=\)\({f_1}^2,\:\)\({f_2}^2,\:\)\({f_3}^2,\:\)\({f_4}^2,\:\)\({f_5}^2,\:\)\({f_1}{f_2}{t_1},\:\)\({f_3}{f_4}{t_2},\:\)\({t_1}{f_5}{t_2},\:\)\({t_1}^4,\:\)\({t_2}^4,\:\)\(({t_1}^{-1}{f_4})^2,\:\)\(({t_2}^{-1}{f_1})^2\)
\(|G_d|=\)\(Infinite\)