h-net: hqc2271


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,12,4,6}
2D vertex symbol {5.4.4.5}{5.5.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 18, 46, 142, 390, 1180, 3242, 9790, 27278, 80738), (4, 12, 42, 98, 334, 862, 2728, 7350, 22348, 61808), (12, 24, 96, 252, 756, 2088, 6324, 17364, 52416), (4, 24, 52, 188, 480, 1488, 4028, 12400, 33824, 102184), (6, 18, 30, 144, 306, 1110, 2850, 8784, 23862, 73290)]
Delaney-Dress Symbol <2271.2:13:1 3 5 7 9 11 13,2 12 6 11 8 10 13,1 4 5 6 7 8 9 10 11 12 13:5 4,4 4 12 4 6>
Dual net hqc2169

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 sqc9318 R-3m 166 rhombohedral {4,4,12,4,6} 17 (5,6)
Full image sqc9319 R-3 148 rhombohedral {4,4,12,4,6} 17 (5,7)
Full image sqc9320 R-3 148 rhombohedral {4,4,12,4,6} 17 (5,7)
Full image sqc9323 R-3m 166 rhombohedral {4,4,12,4,6} 17 (5,6)

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 UQC5741 *2626 (5,6,2) {4,4,12,4,6} {5.4.4.5}{5.5.4.4}{4.4.4.4.4.4.4... Snet sqc9318 Snet sqc9320 Snet sqc9323
Tiling details UQC5742 *2626 (5,6,2) {4,4,12,4,6} {5.4.4.5}{5.5.4.4}{4.4.4.4.4.4.4... Snet sqc9323 Snet sqc9319 Snet sqc9318

Symmetry-lowered hyperbolic tilings