h-net: hqc1203


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,6,12}
2D vertex symbol {18.3.3.18}{18.3.3.18.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 18, 54, 148, 478, 1478, 4424, 13574, 41736), (6, 22, 50, 194, 526, 1718, 4978, 15978, 47020), (12, 24, 84, 240, 816, 2232, 7368, 21588, 67824)]
Delaney-Dress Symbol <1203.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:18 3,4 6 12>
Dual net hqc1030

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 sqc6181 R-3m 166 rhombohedral {4,6,12} 10 (3,4)
Full image sqc6182 R-3 148 rhombohedral {4,6,12} 10 (3,5)
Full image sqc6183 R-3 148 rhombohedral {4,6,12} 10 (3,5)
Full image sqc6184 R-3m 166 rhombohedral {4,6,12} 10 (3,4)

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 UQC4114 *2626 (3,4,2) {4,6,12} {18.3.3.18}{18.3.3.18.3.3}{3.3.3... Snet sqc6181 Snet sqc6183 Snet sqc6184
Tiling details UQC4115 *2626 (3,4,2) {4,6,12} {18.3.3.18}{18.3.3.18.3.3}{3.3.3... Snet sqc6184 Snet sqc6182 Snet sqc6181

Symmetry-lowered hyperbolic tilings