h-net: hqc1460


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,4,3,6}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5.5.5.5}
Vertex coordination sequence [(12, 84, 456, 2412, 12696, 66804), (4, 18, 104, 548, 2892, 15276, 80530), (3, 11, 36, 187, 1007, 5404, 28521, 150285), (6, 12, 24, 138, 870, 4602, 24306, 128058)]
Delaney-Dress Symbol <1460.2:10:1 3 5 7 8 10,2 4 5 8 9 10,1 2 3 6 7 8 9 10:5 5,12 4 3 6>
Dual net hqc1414

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 sqc6997 R-3m 166 rhombohedral {12,4,3,6} 14 (4,5)
Full image sqc6989 R-3 148 rhombohedral {12,4,3,6} 14 (4,6)
Full image sqc7000 R-3 148 rhombohedral {12,4,3,6} 14 (4,6)
Full image sqc7001 R-3m 166 rhombohedral {12,4,3,6} 14 (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 UQC4464 *2626 (4,5,2) {12,4,3,6} {5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.... Snet sqc6997 Snet sqc6989 Snet sqc7001
Tiling details UQC4465 *2626 (4,5,2) {12,4,3,6} {5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.... Snet sqc7001 Snet sqc7000 Snet sqc6997

Symmetry-lowered hyperbolic tilings