h-net: hqc123


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,3,2)
Vertex degrees{4,6}
2D vertex symbol {12.3.3.12}{3.3.3.3.3.3}
Vertex coordination sequence [(4, 8, 14, 28, 52, 96, 178, 320, 596, 1098), (6, 6, 18, 30, 54, 114, 180, 354, 666, 1158)]
Delaney-Dress Symbol <123.2:5:1 2 3 5,2 4 5,1 3 4 5:12 3,4 6>
Dual net hqc142

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 sqc12258 Pn-3m 224 cubic {4,6} 28 (2,3)
Full image sqc12167 Ia-3 206 cubic {4,6} 28 (2,3)
Full image sqc12166 Fd-3m 227 cubic {4,6} 28 (2,3)

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 UQC125 *266 (2,3,2) {4,6} {12.3.3.12}{3.3.3.3.3.3} Snet sqc12258 Snet sqc12167 Snet sqc12166

Symmetry-lowered hyperbolic tilings