h-net: hqc200


Topological data

Orbifold symbol*2(12)(12)
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{5,12}
2D vertex symbol {12.4.3.3.4}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(12, 24, 60, 216, 624, 1716, 5052, 14868, 42864), (5, 19, 54, 148, 440, 1295, 3729, 10808, 31479, 91405)]
Delaney-Dress Symbol <200.2:6:1 2 3 4 6,1 3 5 6,2 4 5 6:12 4 3,5 12>
Dual net hqc262

Derived s-nets

s-nets with faithful topology

2 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc8949 R-3m 166 rhombohedral {12,5} 13 (2,5)
Full image sqc8948 R-3 148 rhombohedral {12,5,5} 13 (3,6)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC2534 *2626 (2,5,5) {12,5} {4.3.3.4.12}{3.3.3.3.3.3.3.3.3.3... Snet sqc8949 Snet sqc8948 Snet sqc8949

Symmetry-lowered hyperbolic tilings