h-net: hqc105


Topological data

Orbifold symbol2*26
Transitivity (vertex, edge, ring)(2,2,1)
Vertex degrees{6,3}
2D vertex symbol {8.8.8.8.8.8}{8.8.8}
Vertex coordination sequence [(6, 12, 24, 78, 162, 342, 990, 2154, 4728, 12696), (3, 9, 24, 51, 129, 312, 687, 1701, 4080, 9231)]
Delaney-Dress Symbol <105.1:4:2 4,1 3 4,1 2 4:8,6 3>
Dual net hqc93

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 sqc963 R-3m 166 rhombohedral {3,6} 7 (2,2)
Full image sqc5440 R-3c 167 rhombohedral {6,3} 14 (2,3)
Full image sqc5441 R-3c 167 rhombohedral {6,3} 14 (2,3)
Full image sqc962 R-3m 166 rhombohedral {6,3} 7 (2,2)

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 UQC4239 *2626 (4,3,2) {6,3,3,6} {8.8.8.8.8.8}{8.8.8}{8.8.8}{8.8.... Snet sqc963 Snet sqc5440 Snet sqc962
Tiling details UQC4240 *2626 (4,3,2) {6,3,3,6} {8.8.8.8.8.8}{8.8.8}{8.8.8}{8.8.... Snet sqc962 Snet sqc5441 Snet sqc963

Symmetry-lowered hyperbolic tilings