h-net: hqc1685


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{6,5}
2D vertex symbol {6.4.4.3.4.4}{4.6.4.3.3}
Vertex coordination sequence [(5, 16, 51, 162, 503, 1546, 4745, 14606, 45033), (6, 21, 65, 198, 606, 1870, 5775, 17807, 54862)]
Delaney-Dress Symbol <1685.2:11:1 2 3 4 6 8 9 10 11,1 3 5 10 7 9 11,2 4 7 8 9 11:6 4 4 3 6,6 5>
Dual net hqc1891

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 sqc8232 R-3m 166 rhombohedral {5,6} 12 (2,5)
Full image sqc8233 R-3 148 rhombohedral {5,6} 12 (2,6)
Full image sqc8235 R-3 148 rhombohedral {5,6} 12 (2,6)
Full image sqc8234 R-3m 166 rhombohedral {5,6} 12 (2,5)

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 UQC2465 *2626 (2,5,5) {6,5} {6.4.4.3.4.4}{4.6.4.3.3} Snet sqc8232 Snet sqc8233 Snet sqc8234
Tiling details UQC2466 *2626 (2,5,5) {6,5} {6.4.4.3.4.4}{4.6.4.3.3} Snet sqc8234 Snet sqc8235 Snet sqc8232

Symmetry-lowered hyperbolic tilings