h-net: hqc2261


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{12,4,4,4,6}
2D vertex symbol {7.7.7.7.7.7.7.7.7.7.7.7}{7.3.3.7}{7.7.3.3}{3.3.3.3}{7.7.7.7.7.7}
Vertex coordination sequence [(12, 84, 456, 2340, 11916, 60240), (4, 14, 92, 488, 2432, 12494, 63602), (4, 8, 38, 178, 994, 5250, 26914, 136416), (4, 4, 32, 188, 920, 4824, 24908, 126352), (6, 18, 18, 126, 870, 4608, 23430, 119574)]
Delaney-Dress Symbol <2261.2:13:1 3 5 7 9 11 13,2 4 12 8 11 10 13,1 2 3 6 7 8 9 10 11 12 13:7 3,12 4 4 4 6>
Dual net hqc2197

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 sqc9308 R-3m 166 rhombohedral {12,4,4,4,6} 17 (5,6)
Full image sqc9305 R-3m 166 rhombohedral {12,4,4,4,6} 17 (5,7)
Full image sqc9313 R-3m 166 rhombohedral {12,4,4,4,6} 17 (5,7)
Full image sqc9314 R-3m 166 rhombohedral {12,4,4,4,6} 17 (5,6)

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 UQC5725 *2626 (5,6,2) {12,4,4,4,6} {7.7.7.7.7.7.7.7.7.7.7.7}{7.3.3.... Snet sqc9308 Snet sqc9305 Snet sqc9314
Tiling details UQC5726 *2626 (5,6,2) {12,4,4,4,6} {7.7.7.7.7.7.7.7.7.7.7.7}{7.3.3.... Snet sqc9314 Snet sqc9313 Snet sqc9308

Symmetry-lowered hyperbolic tilings