h-net: hqc1558


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{6,4,4,4,6}
2D vertex symbol {4.4.4.4.4.4}{4.6.6.4}{4.6.4.6}{6.6.6.6}{6.6.6.6.6.6}
Vertex coordination sequence [(6, 12, 30, 96, 258, 732, 1938, 5304, 13974, 39132), (4, 12, 30, 78, 228, 606, 1688, 4458, 12382, 32688), (4, 10, 26, 70, 184, 528, 1400, 3890, 10270, 28598), (4, 16, 44, 124, 328, 900, 2372, 6644, 17560, 49016), (6, 18, 60, 162, 426, 1116, 3126, 8262, 23172, 61254)]
Delaney-Dress Symbol <1558.2:10:2 4 6 8 10,1 3 4 7 6 9 10,1 2 5 6 7 8 9 10:4 6,6 4 4 4 6>
Dual net hqc1335

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 sqc7067 R-3m 166 rhombohedral {6,4,4,4,6} 14 (5,4)
Full image sqc7056 R-3 148 rhombohedral {6,4,4,4,6} 14 (5,5)
Full image sqc7066 R-3 148 rhombohedral {6,4,4,4,6} 14 (5,5)
Full image sqc7306 R-3m 166 rhombohedral {6,4,4,4,6} 14 (5,4)

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 UQC5252 *2626 (5,4,2) {6,4,4,4,6} {4.4.4.4.4.4}{4.6.6.4}{4.6.4.6}{... Snet sqc7067 Snet sqc7066 Snet sqc7306
Tiling details UQC5253 *2626 (5,4,2) {6,4,4,4,6} {4.4.4.4.4.4}{4.6.6.4}{4.6.4.6}{... Snet sqc7306 Snet sqc7056 Snet sqc7067

Symmetry-lowered hyperbolic tilings