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Available tesselations and visualizations

triangulation G₇₁₀	rings	construction	dual	the finest regular triangulation
triangulation G₇₁₁	rings	construction	dual	used in examples in the paper
triangulation G₇₂₁	rings	construction	dual	demonstrates the Goldberg-Coxeter construction
triangulation G₈₁₀	rings	construction	dual	coarser than G₇₁₀
binary tiling	rings	construction	dual	a bit different version than in the paper
square grid {4,5}	rings	construction	dual	an example of a square grid
GC_2,1 {4,5}	rings	construction	dual	Goldberg-Coxeter operation on a square grid
triangulation G₆₁₀	rings	construction	dual	Euclidean triangulation
face configuration V8.8.5	rings	construction	dual	an example of a triangulation where our distance algorithm does not work
face configuration V14.14.3	rings	-	dual	an example of a triangulation where regular generation does not work

Instructions

rings: white edges are rings, green edges are non-rightmost child edges, red edges are rightmost child edges. On square grids, grey edges are used for rings (because they are not connected). Blue lines show the Goldberg-Coxeter construction.
construction: this shows the assignment of types to vertices, and lists the number of k-th level descendants of the current vertex in the center, for each k.
dual: this shows the dual tesselation.