h-net: hqc2142


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,6,5)
Vertex degrees{5,3}
2D vertex symbol {12.4.3.12.4}{3.4.4}
Vertex coordination sequence [(3, 6, 18, 44, 106, 256, 613, 1468, 3519, 8432), (5, 13, 31, 75, 181, 435, 1041, 2493, 5975, 14319)]
Delaney-Dress Symbol <2142.2:13:1 2 3 4 5 6 7 9 11 12 13,2 4 6 8 9 12 13,3 12 5 7 10 11 13:12 4 12 3 4,5 3>
Dual net hqc2218

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 sqc9343 R-3m 166 rhombohedral {3,5} 18 (2,6)
Full image sqc9340 R-3 148 rhombohedral {3,5,5} 18 (3,7)
Full image sqc9341 R-3 148 rhombohedral {3,5,5} 18 (3,7)
Full image sqc9342 R-3m 166 rhombohedral {3,5} 18 (2,6)

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 UQC2732 *2626 (2,6,5) {3,5} {12.4.3.12.4}{3.4.4} Snet sqc9343 Snet sqc9341 Snet sqc9342
Tiling details UQC2733 *2626 (2,6,5) {3,5} {12.4.3.12.4}{3.4.4} Snet sqc9342 Snet sqc9340 Snet sqc9343

Symmetry-lowered hyperbolic tilings