h-net: hqc1731


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{3,5}
2D vertex symbol {12.8.3}{3.8.12.12.8}
Vertex coordination sequence [(5, 14, 34, 78, 182, 430, 1015, 2398, 5661, 13356), (3, 6, 18, 47, 114, 269, 629, 1476, 3475, 8199)]
Delaney-Dress Symbol <1731.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,3 8 6 7 10 11:12 3 8 12,3 5>
Dual net hqc1864

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 sqc8239 R-3m 166 rhombohedral {5,3} 18 (2,5)
Full image sqc8240 R-3 148 rhombohedral {5,3,3} 18 (3,6)
Full image sqc8243 R-3 148 rhombohedral {5,3,3} 18 (3,6)
Full image sqc8244 R-3m 166 rhombohedral {5,3} 18 (2,5)

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 UQC2210 *2626 (2,5,4) {5,3} {12.8.3}{3.8.12.12.8} Snet sqc8239 Snet sqc8243 Snet sqc8244
Tiling details UQC2211 *2626 (2,5,4) {5,3} {12.8.3}{3.8.12.12.8} Snet sqc8244 Snet sqc8240 Snet sqc8239

Symmetry-lowered hyperbolic tilings