Four Pronged Devil

02 February, 2024

8-Colouring

17173175

Loop Cycles

\(({t_1},{t_2},{t_3})\;\)\(3\mathord*({t_3})\;\)\(({t_1},{t_4},{t_1}^{-1},{t_4}^{-1})\;\)\(({t_1},{t_4}^{-1},{t_2}^{-1},{t_4}^{-1},{t_2}^{-1})\;\)

Gyre Multipliers

\(-\)

Growth

Single Tile Boundary Vertices

Topology Type

Toroidal

Skeleton Type

None

Files

Embedding

Dual Group

\(G_d=\)	\(\left\langle \: S_d \:\middle\|\:R_d\:\right\rangle\)
\(S_d=\)	\(t_1,\:\)\(t_2,\:\)\(t_3,\:\)\(t_4\)
\(R_d=\)	\(t_1t_2t_3,\:\)\((t_3)^3,\:\)\(t_1t_4t_1^{-1}t_4^{-1},\:\)\(t_1t_4^{-1}t_2^{-1}t_4^{-1}t_2^{-1}\)
\(\|G_d\|=\)	\(36\)