h-net: hqc458


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{12,8,6}
2D vertex symbol {4.4.4.4.4.4.4.4.4.4.4.4}{4.3.3.4.4.3.3.4}{3.3.3.3.3.3}
Vertex coordination sequence [(12, 96, 636, 4200, 27780, 183936), (8, 44, 292, 1936, 12836, 84948), (6, 30, 186, 1284, 8478, 56154)]
Delaney-Dress Symbol <458.2:7:1 3 4 5 7,2 4 6 7,1 2 3 5 6 7:4 3,12 8 6>
Dual net hqc356

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 sqc3908 R-3m 166 rhombohedral {12,8,6} 5 (3,4)
Full image sqc3898 R-3m 166 rhombohedral {12,8,6} 5 (3,4)
Full image sqc3914 R-3m 166 rhombohedral {12,8,6} 5 (3,4)
Full image sqc3912 R-3m 166 rhombohedral {12,8,6} 5 (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 UQC3346 *2626 (3,4,2) {12,8,6} {4.4.4.4.4.4.4.4.4.4.4.4}{4.3.3.... Snet sqc3908 Snet sqc3898 Snet sqc3912
Tiling details UQC3347 *2626 (3,4,2) {12,8,6} {4.4.4.4.4.4.4.4.4.4.4.4}{4.3.3.... Snet sqc3912 Snet sqc3914 Snet sqc3908

Symmetry-lowered hyperbolic tilings