h-net: hqc638


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{5,3}
2D vertex symbol {12.3.18.3.12}{3.18.18}
Vertex coordination sequence [(3, 8, 22, 52, 124, 304, 739, 1784, 4321, 10484), (5, 12, 28, 68, 168, 406, 980, 2378, 5769, 13970)]
Delaney-Dress Symbol <638.2:8:1 2 3 5 7 8,2 4 5 6 8,1 3 6 7 8:12 3 18,5 3>
Dual net hqc791

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 sqc5444 R-3m 166 rhombohedral {3,5} 12 (2,4)
Full image sqc5452 R-3 148 rhombohedral {3,5} 12 (2,5)
Full image sqc5470 R-3 148 rhombohedral {3,5} 12 (2,5)
Full image sqc5449 R-3m 166 rhombohedral {3,5} 12 (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 UQC825 *2626 (2,4,3) {5,3} {12.3.18.3.12}{3.18.18} Snet sqc5444 Snet sqc5470 Snet sqc5449
Tiling details UQC826 *2626 (2,4,3) {5,3} {12.3.18.3.12}{3.18.18} Snet sqc5449 Snet sqc5452 Snet sqc5444

Symmetry-lowered hyperbolic tilings