h-net: hqc1236


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{12,3,3,6}
2D vertex symbol {7.7.7.7.7.7.7.7.7.7.7.7}{7.4.7}{7.7.4}{7.7.7.7.7.7}
Vertex coordination sequence [(12, 78, 420, 2160, 10968, 55470), (3, 14, 87, 444, 2247, 11520, 58577), (3, 8, 33, 168, 921, 4850, 24779, 125654), (6, 12, 18, 126, 810, 4230, 21630, 110118)]
Delaney-Dress Symbol <1236.2:9:1 3 5 7 9,2 4 8 6 7 9,1 2 3 6 7 8 9:7 4,12 3 3 6>
Dual net hqc984

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 sqc6128 R-3m 166 rhombohedral {12,3,3,6} 14 (4,4)
Full image sqc6120 R-3m 166 rhombohedral {12,3,3,6} 14 (4,5)
Full image sqc6139 R-3m 166 rhombohedral {12,3,3,6} 14 (4,5)
Full image sqc6140 R-3m 166 rhombohedral {12,3,3,6} 14 (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 UQC4381 *2626 (4,4,2) {12,3,3,6} {7.7.7.7.7.7.7.7.7.7.7.7}{7.4.7}... Snet sqc6128 Snet sqc6120 Snet sqc6140
Tiling details UQC4382 *2626 (4,4,2) {12,3,3,6} {7.7.7.7.7.7.7.7.7.7.7.7}{7.4.7}... Snet sqc6140 Snet sqc6139 Snet sqc6128

Symmetry-lowered hyperbolic tilings