h-net: hqc1528


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,18,12,4}
2D vertex symbol {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 42, 55, 688, 897, 11270, 14693, 184512), (18, 24, 294, 384, 4842, 6312, 79230), (12, 18, 240, 312, 3888, 5070, 63732), (4, 52, 68, 856, 1116, 14012, 18268, 229424)]
Delaney-Dress Symbol <1528.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:4 4,3 18 12 4>
Dual net hqc1302

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 sqc7193 R-3m 166 rhombohedral {3,18,12,4} 11 (4,4)
Full image sqc7074 R-3m 166 rhombohedral {3,18,12,4} 11 (4,5)
Full image sqc7195 R-3m 166 rhombohedral {3,18,12,4} 11 (4,5)
Full image sqc7086 R-3m 166 rhombohedral {3,18,12,4} 11 (4,4)

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 UQC4686 *2626 (4,4,2) {3,18,12,4} {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4.... Snet sqc7193 Snet sqc7074 Snet sqc7086
Tiling details UQC4687 *2626 (4,4,2) {3,18,12,4} {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4.... Snet sqc7086 Snet sqc7195 Snet sqc7193

Symmetry-lowered hyperbolic tilings