h-net: hqc80


Topological data

Orbifold symbol*446
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{12,4}
2D vertex symbol {6.3.3.6.3.3.6.3.3.6.3.3}{3.3.3.3}
Vertex coordination sequence [(4, 36, 228, 1456, 9292, 59212), (12, 76, 488, 3108, 19812, 126288)]
Delaney-Dress Symbol <80.2:4:1 2 4,1 3 4,2 3 4:6 3,12 4>
Dual net hqc75

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 sqc4970 Pm-3m 221 cubic {4,12} 6 (2,2)
Full image sqc4971 R-3 148 rhombohedral {4,12} 6 (2,4)

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 UQC1409 *2626 (2,3,4) {12,4} {6.3.3.6.3.3.6.3.3.6.3.3}{3.3.3.3} Snet sqc4970 Snet sqc4971 Snet sqc4970

Symmetry-lowered hyperbolic tilings