h-net: hqc2237


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{12,4,3,4,12}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(12, 84, 444, 2340, 11916, 60720), (4, 16, 102, 476, 2518, 12600, 64510), (3, 15, 38, 213, 923, 4946, 24417, 125673), (4, 24, 52, 284, 1180, 6352, 31120, 160628), (12, 18, 78, 210, 1200, 5328, 28476, 141162)]
Delaney-Dress Symbol <2237.2:13:1 3 5 7 9 11 13,2 4 5 8 13 10 12,1 2 3 6 7 8 9 10 11 12 13:5 4,12 4 3 4 12>
Dual net hqc2157

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 sqc9307 R-3m 166 rhombohedral {12,4,3,4,12} 17 (5,6)
Full image sqc9304 R-3 148 rhombohedral {12,4,3,4,12} 17 (5,7)
Full image sqc9311 R-3 148 rhombohedral {12,4,3,4,12} 17 (5,7)
Full image sqc9312 R-3m 166 rhombohedral {12,4,3,4,12} 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 UQC5641 *2626 (5,6,2) {12,4,3,4,12} {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.4.... Snet sqc9307 Snet sqc9304 Snet sqc9312
Tiling details UQC5642 *2626 (5,6,2) {12,4,3,4,12} {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.4.... Snet sqc9312 Snet sqc9311 Snet sqc9307

Symmetry-lowered hyperbolic tilings