h-net: hqc589


Topological data

Orbifold symbol*446
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{5,3}
2D vertex symbol {4.12.4.4.12}{4.4.4}
Vertex coordination sequence [(3, 5, 12, 33, 82, 198, 476, 1140, 2730, 6542), (5, 14, 34, 82, 198, 476, 1140, 2730, 6542, 15678)]
Delaney-Dress Symbol <589.2:8:1 2 3 4 6 7 8,1 3 5 7 8,2 4 5 6 8:4 12 4 4,5 3>
Dual net hqc853

Derived s-nets

s-nets with faithful topology

2 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 sqc11122 Pm-3m 221 cubic {5,3} 24 (2,4)
Full image sqc11123 R-3 148 rhombohedral {3,3,5,5} 24 (4,8)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC3202 *2626 (2,7,6) {5,3} {12.4.4.12.4}{4.4.4} Snet sqc11122 Snet sqc11123 Snet sqc11122

Symmetry-lowered hyperbolic tilings