h-net: hqc1539


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,6,4,12}
2D vertex symbol {12.4.4}{12.4.4.12.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(3, 11, 48, 144, 580, 1739, 7003, 21000, 84529), (6, 26, 78, 314, 942, 3792, 11370, 45766), (4, 22, 66, 266, 798, 3214, 9640, 38808, 116360), (12, 36, 144, 432, 1740, 5220, 21012, 63000)]
Delaney-Dress Symbol <1539.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:12 4,3 6 4 12>
Dual net hqc1303

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 sqc7194 R-3m 166 rhombohedral {3,6,4,12} 13 (4,4)
Full image sqc7243 R-3 148 rhombohedral {3,6,4,12} 13 (4,5)
Full image sqc7244 R-3 148 rhombohedral {3,6,4,12} 13 (4,5)
Full image sqc7245 R-3m 166 rhombohedral {3,6,4,12} 13 (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 UQC4706 *2626 (4,4,2) {3,6,4,12} {12.4.4}{12.4.4.12.4.4}{4.4.4.4}... Snet sqc7194 Snet sqc7244 Snet sqc7245
Tiling details UQC4707 *2626 (4,4,2) {3,6,4,12} {12.4.4}{12.4.4.12.4.4}{4.4.4.4}... Snet sqc7245 Snet sqc7243 Snet sqc7194

Symmetry-lowered hyperbolic tilings