h-net: hqc1899


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,8,12,6}
2D vertex symbol {5.3.3.5}{5.5.3.3.5.5.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 22, 82, 324, 1286, 4988, 18966, 74748), (8, 32, 128, 476, 1948, 7156, 29184, 108156), (12, 36, 132, 612, 2208, 8772, 32784, 133476), (6, 42, 150, 552, 2046, 8634, 31578, 127932)]
Delaney-Dress Symbol <1899.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:5 3,4 8 12 6>
Dual net hqc1761

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 sqc8218 R-3m 166 rhombohedral {4,8,12,6} 11 (4,5)
Full image sqc8198 R-3 148 rhombohedral {4,8,12,6} 11 (4,6)
Full image sqc8205 R-3 148 rhombohedral {4,8,12,6} 11 (4,6)
Full image sqc8197 R-3m 166 rhombohedral {4,8,12,6} 11 (4,5)

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 UQC5104 *2626 (4,5,2) {4,8,12,6} {5.3.3.5}{5.5.3.3.5.5.3.3}{3.3.3... Snet sqc8218 Snet sqc8205 Snet sqc8197
Tiling details UQC5105 *2626 (4,5,2) {4,8,12,6} {5.3.3.5}{5.5.3.3.5.5.3.3}{3.3.3... Snet sqc8197 Snet sqc8198 Snet sqc8218

Symmetry-lowered hyperbolic tilings