h-net: hqc1464


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,3,4,6}
2D vertex symbol {7.7.7.7.7.7.7.7.7.7.7.7}{7.3.7}{7.7.3.3}{7.7.7.7.7.7}
Vertex coordination sequence [(12, 78, 420, 2160, 11016, 55710), (3, 14, 87, 452, 2247, 11592, 58879), (4, 8, 42, 176, 944, 4978, 25364, 128854), (6, 18, 18, 150, 858, 4248, 22170, 113514)]
Delaney-Dress Symbol <1464.2:10:1 3 5 7 8 10,2 4 9 6 8 10,1 2 3 6 7 8 9 10:7 3,12 3 4 6>
Dual net hqc1403

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 sqc6999 R-3m 166 rhombohedral {12,3,4,6} 14 (4,5)
Full image sqc6991 R-3m 166 rhombohedral {12,3,4,6} 14 (4,6)
Full image sqc7005 R-3m 166 rhombohedral {12,3,4,6} 14 (4,6)
Full image sqc7006 R-3m 166 rhombohedral {12,3,4,6} 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 UQC4470 *2626 (4,5,2) {12,3,4,6} {7.7.7.7.7.7.7.7.7.7.7.7}{7.3.7}... Snet sqc6999 Snet sqc6991 Snet sqc7006
Tiling details UQC4471 *2626 (4,5,2) {12,3,4,6} {7.7.7.7.7.7.7.7.7.7.7.7}{7.3.7}... Snet sqc7006 Snet sqc7005 Snet sqc6999

Symmetry-lowered hyperbolic tilings