h-net: hqc1456


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,12,6}
2D vertex symbol {3.7.7.3}{3.7.7}{7.7.7.7.7.7.7.7.7.7.7.7}{7.7.7.7.7.7}
Vertex coordination sequence [(4, 14, 102, 546, 2850, 15064, 79498), (3, 8, 33, 178, 989, 5350, 28171, 148246), (12, 84, 456, 2400, 12636, 66456), (6, 12, 18, 126, 870, 4578, 24030, 126678)]
Delaney-Dress Symbol <1456.2:10:1 3 5 7 8 10,2 3 6 9 8 10,1 4 5 6 7 8 9 10:3 7,4 3 12 6>
Dual net hqc1418

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 sqc7002 R-3m 166 rhombohedral {4,3,12,6} 14 (4,5)
Full image sqc6992 R-3m 166 rhombohedral {4,3,12,6} 14 (4,6)
Full image sqc7003 R-3m 166 rhombohedral {4,3,12,6} 14 (4,6)
Full image sqc6998 R-3m 166 rhombohedral {4,3,12,6} 14 (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 UQC4458 *2626 (4,5,2) {4,3,12,6} {3.7.7.3}{3.7.7}{7.7.7.7.7.7.7.7... Snet sqc7002 Snet sqc7003 Snet sqc6998
Tiling details UQC4459 *2626 (4,5,2) {4,3,12,6} {3.7.7.3}{3.7.7}{7.7.7.7.7.7.7.7... Snet sqc6998 Snet sqc6992 Snet sqc7002

Symmetry-lowered hyperbolic tilings