h-net: hqc1603


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,8,3,12}
2D vertex symbol {8.8.8.8.8.8}{8.3.3.8.8.3.3.8}{8.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 42, 138, 504, 1782, 7782, 26634, 110832), (8, 28, 120, 416, 1744, 6012, 25264, 87056), (3, 19, 58, 264, 1001, 3787, 13874, 55022), (12, 30, 114, 558, 1872, 7578, 26298, 111594)]
Delaney-Dress Symbol <1603.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:8 3,6 8 3 12>
Dual net hqc1396

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 sqc7227 R-3m 166 rhombohedral {6,8,3,12} 11 (4,4)
Full image sqc7062 R-3m 166 rhombohedral {6,8,3,12} 11 (4,4)
Full image sqc7070 R-3m 166 rhombohedral {6,8,3,12} 11 (4,4)
Full image sqc7061 R-3m 166 rhombohedral {6,8,3,12} 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 UQC4755 *2626 (4,4,2) {6,8,3,12} {8.8.8.8.8.8}{8.3.3.8.8.3.3.8}{8... Snet sqc7227 Snet sqc7070 Snet sqc7061
Tiling details UQC4756 *2626 (4,4,2) {6,8,3,12} {8.8.8.8.8.8}{8.3.3.8.8.3.3.8}{8... Snet sqc7061 Snet sqc7062 Snet sqc7227

Symmetry-lowered hyperbolic tilings