h-net: hqc2218


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,3,12,4,12}
2D vertex symbol {3.5.5.3}{3.5.5}{5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.5}{5.5.5.5.5.5.5.5.5.5.5.5}
Vertex coordination sequence [(4, 14, 60, 244, 874, 3642, 13036, 53514), (3, 14, 47, 236, 741, 3380, 11119, 50106), (12, 36, 192, 504, 2880, 7656, 41892, 114804), (4, 44, 108, 632, 1612, 9284, 24164, 136112), (12, 30, 192, 480, 2784, 7146, 41076, 107472)]
Delaney-Dress Symbol <2218.2:13:1 3 5 7 9 11 13,2 3 6 13 8 10 12,1 4 5 6 7 8 9 10 11 12 13:3 5,4 3 12 4 12>
Dual net hqc2142

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 sqc9325 R-3m 166 rhombohedral {4,3,12,4,12} 17 (5,6)
Full image sqc9321 R-3m 166 rhombohedral {4,3,12,4,12} 17 (5,7)
Full image sqc9322 R-3m 166 rhombohedral {4,3,12,4,12} 17 (5,7)
Full image sqc9324 R-3m 166 rhombohedral {4,3,12,4,12} 17 (5,6)

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 UQC5559 *2626 (5,6,2) {4,3,12,4,12} {3.5.5.3}{3.5.5}{5.5.5.5.5.5.5.5... Snet sqc9325 Snet sqc9322 Snet sqc9324
Tiling details UQC5560 *2626 (5,6,2) {4,3,12,4,12} {3.5.5.3}{3.5.5}{5.5.5.5.5.5.5.5... Snet sqc9324 Snet sqc9321 Snet sqc9325

Symmetry-lowered hyperbolic tilings