h-net: hqc915


Topological data

Orbifold symbol2*26
Transitivity (vertex, edge, ring)(3,4,1)
Vertex degrees{4,4,12}
2D vertex symbol {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 24, 60, 176, 516, 1480, 4284, 12384, 35780, 103416), (4, 16, 44, 128, 372, 1072, 3100, 8960, 25892, 74832), (12, 24, 84, 240, 684, 1992, 5748, 16608, 48012)]
Delaney-Dress Symbol <915.1:8:2 4 6 8,3 8 5 7,1 2 3 4 5 6 8:4,4 4 12>
Dual net hqc577

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 sqc5391 R-3m 166 rhombohedral {4,4,12} 10 (3,4)
Full image sqc10749 R-3c 167 rhombohedral {4,4,12} 20 (3,5)
Full image sqc10751 R-3c 167 rhombohedral {4,4,12} 20 (3,5)
Full image sqc5019 R-3m 166 rhombohedral {4,4,12} 10 (3,4)

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 UQC6053 *2626 (6,7,2) {4,4,12,4,4,12} {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4... Snet sqc5391 Snet sqc10751 Snet sqc5019
Tiling details UQC6054 *2626 (6,7,2) {4,4,12,4,4,12} {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4... Snet sqc5019 Snet sqc10749 Snet sqc5391

Symmetry-lowered hyperbolic tilings