Heptagonal Wrap of Diamond Lattice

Heptagonal Wrap of Diamond Lattice

14 May, 2023

7-Colouring

1637747

n-colouring 1637747

Loop Cycles

\(3\mathord*(t_1-,f2,t_1+,f2)\;\)\(3\mathord*(t_2)\;\)

Gyre Multipliers

\(-\)

Growth

Loop(s) Boundary Vertices

Topology Type

Infinite Genus

Skeleton Type

Diamond Lattice (dia)

Files

graphML Download

Embedding

Dual Group

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