h-net: hqc1715


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{3,5}
2D vertex symbol {4.4.18}{18.4.12.12.4}
Vertex coordination sequence [(5, 14, 32, 72, 168, 394, 916, 2126, 4943, 11496), (3, 6, 16, 42, 98, 224, 520, 1212, 2817, 6546)]
Delaney-Dress Symbol <1715.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,3 8 6 7 10 11:4 18 4 12,3 5>
Dual net hqc1863

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 sqc8238 R-3m 166 rhombohedral {5,3} 18 (2,5)
Full image sqc8241 R-3 148 rhombohedral {5,3,3} 18 (3,6)
Full image sqc8242 R-3 148 rhombohedral {5,3,3} 18 (3,6)
Full image sqc8245 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 UQC2185 *2626 (2,5,4) {5,3} {4.4.18}{18.4.12.12.4} Snet sqc8238 Snet sqc8242 Snet sqc8245
Tiling details UQC2186 *2626 (2,5,4) {5,3} {4.4.18}{18.4.12.12.4} Snet sqc8245 Snet sqc8241 Snet sqc8238

Symmetry-lowered hyperbolic tilings