h-net: hqc1882


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{12,4,3,3,6}
2D vertex symbol {7.7.7.7.7.7.7.7.7.7.7.7}{7.7.7.7}{7.4.7}{7.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(12, 84, 528, 3228, 19740, 120636), (4, 26, 168, 1030, 6288, 38444, 234988), (3, 6, 30, 170, 1051, 6430, 39347, 240504), (3, 7, 10, 50, 316, 1971, 12069, 73818), (6, 6, 6, 18, 132, 858, 5286, 32280, 197376)]
Delaney-Dress Symbol <1882.2:11:1 3 5 7 9 11,2 4 6 7 8 10 11,1 2 3 4 5 8 9 10 11:7 4,12 4 3 3 6>
Dual net hqc1624

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 sqc8183 R-3m 166 rhombohedral {12,4,3,3,6} 17 (5,5)
Full image sqc8175 R-3m 166 rhombohedral {12,4,3,3,6} 17 (5,5)
Full image sqc8191 R-3m 166 rhombohedral {12,4,3,3,6} 17 (5,5)
Full image sqc8189 R-3m 166 rhombohedral {12,4,3,3,6} 17 (5,5)

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 UQC5292 *2626 (5,5,2) {12,4,3,3,6} {7.7.7.7.7.7.7.7.7.7.7.7}{7.7.7.... Snet sqc8183 Snet sqc8175 Snet sqc8189
Tiling details UQC5293 *2626 (5,5,2) {12,4,3,3,6} {7.7.7.7.7.7.7.7.7.7.7.7}{7.7.7.... Snet sqc8189 Snet sqc8191 Snet sqc8183

Symmetry-lowered hyperbolic tilings