h-net: hqc1864


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,8,3,12}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(12, 108, 708, 4416, 27852, 176136), (8, 40, 244, 1592, 10108, 63968), (3, 19, 78, 516, 3373, 21385, 135176), (12, 30, 174, 1194, 7716, 48690)]
Delaney-Dress Symbol <1864.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,12 8 3 12>
Dual net hqc1731

Derived s-nets

s-nets with faithful topology

4 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 sqc8182 R-3m 166 rhombohedral {12,8,3,12} 11 (4,5)
Full image sqc8174 R-3m 166 rhombohedral {12,8,3,12} 11 (4,5)
Full image sqc8190 R-3m 166 rhombohedral {12,8,3,12} 11 (4,5)
Full image sqc8188 R-3m 166 rhombohedral {12,8,3,12} 11 (4,5)

s-nets with edge collapse

No items to display.

Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5055 *2626 (4,5,2) {12,8,3,12} {5.5.5.5.5.5.5.5.5.5.5.5}{5.3.3.... Snet sqc8182 Snet sqc8174 Snet sqc8188
Tiling details UQC5056 *2626 (4,5,2) {12,8,3,12} {5.5.5.5.5.5.5.5.5.5.5.5}{5.3.3.... Snet sqc8188 Snet sqc8190 Snet sqc8182

Symmetry-lowered hyperbolic tilings