h-net: hqc1588


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,8,6,12}
2D vertex symbol {4.4.4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3.4.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 36, 162, 744, 3342, 15468, 69930), (8, 36, 176, 776, 3616, 16300, 75080), (6, 36, 146, 712, 3166, 14636, 66410), (12, 48, 228, 1032, 4716, 21600, 98244)]
Delaney-Dress Symbol <1588.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,6 8 6 12>
Dual net hqc1399

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 sqc7085 R-3m 166 rhombohedral {6,8,6,12} 8 (4,4)
Full image sqc7058 R-3 148 rhombohedral {6,8,6,12} 8 (4,5)
Full image sqc7059 R-3 148 rhombohedral {6,8,6,12} 8 (4,5)
Full image sqc7057 R-3m 166 rhombohedral {6,8,6,12} 8 (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 UQC4734 *2626 (4,4,2) {6,8,6,12} {4.4.4.4.4.4}{4.3.3.4.4.3.3.4}{4... Snet sqc7085 Snet sqc7059 Snet sqc7057
Tiling details UQC4735 *2626 (4,4,2) {6,8,6,12} {4.4.4.4.4.4}{4.3.3.4.4.3.3.4}{4... Snet sqc7057 Snet sqc7058 Snet sqc7085

Symmetry-lowered hyperbolic tilings