Martini lattice (source code)

= Martini lattice

The martini lattice is obtained from the <honeycomb lattice> by replacing every vertex in one of its two vertex classes by a triangle, attaching its three former incident bonds to the triangle's three vertices. It is a periodic degree-three <planar graph>, with triangular faces and nine-sided faces. Each decorated vertex and its incident bonds is a three-terminal cell with three internal triangle bonds and three terminal spokes. Its independent <bond percolation> threshold is $1/\sqrt2$, as follows from <three-terminal cell partition duality>.