h-net: hqc680


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{5,3}
2D vertex symbol {12.4.12.4.12}{4.4.12}
Vertex coordination sequence [(3, 8, 24, 64, 168, 447, 1184, 3129, 8272, 21872), (5, 14, 36, 96, 256, 677, 1788, 4727, 12500, 33052)]
Delaney-Dress Symbol <680.2:8:1 2 3 5 7 8,2 4 8 6 7,1 3 6 7 8:12 4 12,5 3>
Dual net hqc817

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 sqc5474 R-3m 166 rhombohedral {3,5} 12 (2,4)
Full image sqc5469 R-3 148 rhombohedral {3,5} 12 (2,5)
Full image sqc5471 R-3 148 rhombohedral {3,5} 12 (2,5)
Full image sqc5446 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 UQC950 *2626 (2,4,3) {5,3} {12.4.12.4.12}{4.4.12} Snet sqc5474 Snet sqc5469 Snet sqc5446
Tiling details UQC951 *2626 (2,4,3) {5,3} {12.4.12.4.12}{4.4.12} Snet sqc5446 Snet sqc5471 Snet sqc5474

Symmetry-lowered hyperbolic tilings