h-net: hqc1092


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,4,4,6}
2D vertex symbol {4.4.4.4.4.4.4.4.4.4.4.4}{4.5.5.4}{5.5.5.5}{5.5.5.5.5.5}
Vertex coordination sequence [(12, 72, 384, 1992, 10176, 51768), (4, 18, 88, 432, 2176, 11012, 55862), (4, 16, 52, 224, 1068, 5328, 26916, 136592), (6, 18, 54, 210, 966, 4752, 23994, 121590)]
Delaney-Dress Symbol <1092.2:9:1 3 4 5 7 9,2 4 6 8 9,1 2 3 5 6 7 8 9:4 5,12 4 4 6>
Dual net hqc928

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 sqc6126 R-3m 166 rhombohedral {12,4,4,6} 11 (4,5)
Full image sqc6121 R-3 148 rhombohedral {12,4,4,6} 11 (4,5)
Full image sqc6135 R-3 148 rhombohedral {12,4,4,6} 11 (4,5)
Full image sqc6136 R-3m 166 rhombohedral {12,4,4,6} 11 (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 UQC4257 *2626 (4,5,2) {12,4,4,6} {4.4.4.4.4.4.4.4.4.4.4.4}{4.5.5.... Snet sqc6126 Snet sqc6121 Snet sqc6136
Tiling details UQC4258 *2626 (4,5,2) {12,4,4,6} {4.4.4.4.4.4.4.4.4.4.4.4}{4.5.5.... Snet sqc6136 Snet sqc6135 Snet sqc6126

Symmetry-lowered hyperbolic tilings