h-net: hqc1944


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{4,4}
2D vertex symbol {4.4.6.12}{6.4.6.4}
Vertex coordination sequence [(4, 10, 22, 48, 108, 242, 534, 1170, 2568, 5660), (4, 10, 23, 51, 112, 246, 542, 1198, 2644, 5825)]
Delaney-Dress Symbol <1944.2:12:1 2 3 4 5 7 9 10 11 12,2 4 6 7 10 11 12,3 10 5 8 9 12:4 12 6 4 6,4 4>
Dual net hqc2076

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 sqc9177 R-3m 166 rhombohedral {4,4} 18 (2,5)
Full image sqc9213 R-3 148 rhombohedral {4,4,4} 18 (3,6)
Full image sqc9214 R-3 148 rhombohedral {4,4,4} 18 (3,6)
Full image sqc9215 fvr R-3m 166 rhombohedral {4,4} 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 UQC2594 *2626 (2,5,5) {4,4} {4.4.6.12}{6.4.6.4} Snet sqc9177 Snet sqc9213 Snet sqc9215
Tiling details UQC2595 *2626 (2,5,5) {4,4} {4.4.6.12}{6.4.6.4} Snet sqc9215 Snet sqc9214 Snet sqc9177

Symmetry-lowered hyperbolic tilings