Decagonal Stacked Flower

Decagonal Stacked Flower

22 February, 2023

10-Colouring

1090705030109070503

n-colouring 1090705030109070503

Loop Cycles

\((t_1-,t_5-)\;\)\(2\mathord*(t_1-,t_3+)\;\)\(2\mathord*(t_2)\;\)\(6\mathord*(t_3)\;\)\(2\mathord*(t_3-,t_5-)\;\)\(2\mathord*(t_4)\;\)

Gyre Multipliers

\(-\)

Growth

Single Tile Boundary Vertices

Topology Type

Infinite Genus

Skeleton Type

Unknown

Files

graphML Download

Embedding

Dual Group

\(G_d=\)\(\left\langle \: S_d \:\middle|\:R_d\:\right\rangle\)
\(S_d=\)\({t_1},\:\)\({t_2},\:\)\({t_3},\:\)\({t_4},\:\)\({t_5}\)
\(R_d=\)\({t_1}^3,\:\)\({t_5}^{-3},\:\)\(({t_1}{t_2})^2,\:\)\(({t_3}^{-1}{t_2})^2,\:\)\(({t_3}^{-1}{t_4})^2,\:\)\(({t_5}^{-1}{t_4})^2,\:\)\({t_2}^2,\:\)\({t_3}^6,\:\)\({t_4}^2,\:\)\(({t_3}{t_5})^2,\:\)\(({t_3}{t_1}^{-1})^2,\:\)\({t_5}^{-1}{t_1}^{-1}\)
\(|G_d|=\)\(Infinite\)