h-net: hqc1220


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{12,3,3,6}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.8.5}{5.8.8}{8.8.8.8.8.8}
Vertex coordination sequence [(12, 78, 402, 2070, 10464, 52524), (3, 15, 86, 419, 2103, 10666, 53747), (3, 9, 34, 157, 799, 4144, 20995, 105909), (6, 12, 24, 138, 798, 4062, 20802, 105162)]
Delaney-Dress Symbol <1220.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:5 8,12 3 3 6>
Dual net hqc978

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 sqc6127 R-3m 166 rhombohedral {12,3,3,6} 14 (4,4)
Full image sqc6122 R-3 148 rhombohedral {12,3,3,6} 14 (4,5)
Full image sqc6137 R-3 148 rhombohedral {12,3,3,6} 14 (4,5)
Full image sqc6138 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 UQC4341 *2626 (4,4,2) {12,3,3,6} {5.5.5.5.5.5.5.5.5.5.5.5}{5.8.5}... Snet sqc6127 Snet sqc6122 Snet sqc6138
Tiling details UQC4342 *2626 (4,4,2) {12,3,3,6} {5.5.5.5.5.5.5.5.5.5.5.5}{5.8.5}... Snet sqc6138 Snet sqc6137 Snet sqc6127

Symmetry-lowered hyperbolic tilings