h-net: hqc1303


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{4,12}
2D vertex symbol {4.3.6.12}{6.3.6.3.6.3.6.3.6.3.6.3}
Vertex coordination sequence [(12, 24, 48, 192, 576, 1404, 4008, 12072, 33336, 92016), (4, 17, 50, 121, 351, 1057, 2908, 8035, 23082, 65474)]
Delaney-Dress Symbol <1303.2:10:1 2 3 4 5 7 9 10,2 4 6 7 10 9,3 10 5 8 9:4 12 6 3,4 12>
Dual net hqc1539

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 sqc7259 R-3m 166 rhombohedral {12,4} 13 (2,4)
Full image sqc7256 R-3 148 rhombohedral {12,4,4} 13 (3,5)
Full image sqc7258 R-3 148 rhombohedral {12,4,4} 13 (3,5)
Full image sqc7257 R-3m 166 rhombohedral {12,4} 13 (2,4)

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 UQC1734 *2626 (2,4,4) {12,4} {4.3.6.12}{6.3.6.3.6.3.6.3.6.3.6.3} Snet sqc7259 Snet sqc7256 Snet sqc7257
Tiling details UQC1735 *2626 (2,4,4) {12,4} {4.3.6.12}{6.3.6.3.6.3.6.3.6.3.6.3} Snet sqc7257 Snet sqc7258 Snet sqc7259

Symmetry-lowered hyperbolic tilings