h-net: hqc865


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,6,4,6}
2D vertex symbol {10.10.3.3}{3.3.3.3.3.3}{10.10.10.10}{10.10.10.10.10.10}
Vertex coordination sequence [(4, 8, 22, 70, 226, 616, 1716, 4614, 13042, 36286), (6, 6, 18, 78, 210, 696, 1662, 4878, 12918, 37638), (4, 16, 40, 128, 316, 924, 2500, 7224, 19804, 56316), (6, 18, 66, 150, 432, 1122, 3318, 9150, 26226, 71616)]
Delaney-Dress Symbol <865.2:8:1 6 3 5 8,2 4 5 7 8,3 2 4 5 6 7 8:10 3,4 6 4 6>
Dual net hqc593

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 sqc5409 R-3m 166 rhombohedral {4,4,6,6} 11 (4,4)
Full image sqc5000 R-3m 166 rhombohedral {4,4,6,6} 11 (4,4)
Full image sqc5006 R-3m 166 rhombohedral {4,4,6,6} 11 (4,4)
Full image sqc5001 R-3m 166 rhombohedral {4,4,6,6} 11 (4,4)

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 UQC4190 *2626 (4,4,2) {4,6,4,6} {10.10.3.3}{3.3.3.3.3.3}{10.10.1... Snet sqc5409 Snet sqc5006 Snet sqc5001
Tiling details UQC4191 *2626 (4,4,2) {4,6,4,6} {10.10.3.3}{3.3.3.3.3.3}{10.10.1... Snet sqc5001 Snet sqc5000 Snet sqc5409

Symmetry-lowered hyperbolic tilings