h-net: hqc744


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{5,18}
2D vertex symbol {6.4.3.3.4}{4.4.3.4.4.3.4.4.3.4.4.3.4.4.3.4.4.3}
Vertex coordination sequence [(5, 40, 273, 1754, 11227, 72060), (18, 120, 750, 4800, 30858, 198168)]
Delaney-Dress Symbol <744.2:8:1 2 4 6 7 8,1 3 8 7 6,2 5 6 7 8:6 4 3,5 18>
Dual net hqc776

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 sqc4757 R-3m 166 rhombohedral {5,18} 7 (2,4)
Full image sqc5194 R-3m 166 rhombohedral {5,18} 7 (2,5)
Full image sqc5195 R-3m 166 rhombohedral {5,18} 7 (2,5)
Full image sqc5196 R-3m 166 rhombohedral {5,18} 7 (2,4)

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 UQC1012 *2626 (2,4,3) {5,18} {6.4.3.3.4}{4.4.3.4.4.3.4.4.3.4.... Snet sqc4757 Snet sqc5195 Snet sqc5196
Tiling details UQC1013 *2626 (2,4,3) {5,18} {6.4.3.3.4}{4.4.3.4.4.3.4.4.3.4.... Snet sqc5196 Snet sqc5194 Snet sqc4757

Symmetry-lowered hyperbolic tilings