h-net: hqc1957


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{4,4}
2D vertex symbol {12.8.3.4}{3.8.6.8}
Vertex coordination sequence [(4, 10, 22, 46, 100, 224, 494, 1068, 2298, 4980), (4, 9, 21, 48, 103, 221, 477, 1043, 2283, 4963)]
Delaney-Dress Symbol <1957.2:12:1 2 3 4 5 7 9 10 11 12,2 4 6 7 10 11 12,3 10 5 8 9 12:12 4 3 8 6,4 4>
Dual net hqc2077

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 sqc9142 R-3m 166 rhombohedral {4,4} 18 (2,5)
Full image sqc9143 R-3 148 rhombohedral {4,4,4} 18 (3,6)
Full image sqc9144 R-3 148 rhombohedral {4,4,4} 18 (3,6)
Full image sqc9146 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 UQC2613 *2626 (2,5,5) {4,4} {12.8.3.4}{3.8.6.8} Snet sqc9142 Snet sqc9144 Snet sqc9146
Tiling details UQC2614 *2626 (2,5,5) {4,4} {12.8.3.4}{3.8.6.8} Snet sqc9146 Snet sqc9143 Snet sqc9142

Symmetry-lowered hyperbolic tilings