h-net: hqc82


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{3,6}
2D vertex symbol {6.6.6}{6.6.6.6.6.6}
Vertex coordination sequence [(6, 12, 18, 42, 102, 180, 312, 696, 1476, 2670), (3, 9, 21, 39, 72, 153, 315, 591, 1149, 2376)]
Delaney-Dress Symbol <82.2:4:1 2 4,1 3 4,2 3 4:6 6,3 6>
Dual net hqc79

Derived s-nets

s-nets with faithful topology

3 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 sqc11083 Pn-3m 224 cubic {6,3} 28 (2,2)
Full image sqc11082 Ia-3 206 cubic {6,3} 28 (2,2)
Full image sqc11248 Fd-3m 227 cubic {6,3} 28 (2,2)

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 UQC102 *266 (2,2,2) {3,6} {6.6.6}{6.6.6.6.6.6} Snet sqc11083 Snet sqc11082 Snet sqc11248

Symmetry-lowered hyperbolic tilings