h-net: hqc89


Topological data

Orbifold symbol*2(12)(12)
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{3,12}
2D vertex symbol {12.6.6}{6.6.6.6.6.6.6.6.6.6.6.6}
Vertex coordination sequence [(12, 24, 36, 168, 528, 1116, 3012, 9588, 25296, 64296), (3, 15, 46, 96, 266, 845, 2213, 5640, 16107, 45115)]
Delaney-Dress Symbol <89.2:4:1 2 4,1 3 4,2 3 4:12 6,3 12>
Dual net hqc88

Derived s-nets

s-nets with faithful topology

2 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 sqc5394 R-3m 166 rhombohedral {12,3} 13 (2,3)
Full image sqc5393 R-3 148 rhombohedral {12,3,3} 13 (3,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC900 *2626 (2,3,3) {12,3} {12.6.6}{6.6.6.6.6.6.6.6.6.6.6.6} Snet sqc5394 Snet sqc5393 Snet sqc5394

Symmetry-lowered hyperbolic tilings