h-net: hqc457


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{12,4,6}
2D vertex symbol {4.4.4.4.4.4.4.4.4.4.4.4}{4.3.3.4}{3.3.3.3.3.3}
Vertex coordination sequence [(12, 72, 354, 1692, 8112, 38862, 186204), (4, 14, 70, 359, 1730, 8297, 39747, 190444), (6, 6, 54, 288, 1404, 6708, 32154, 154050)]
Delaney-Dress Symbol <457.2:7:1 3 4 5 7,2 4 6 7,1 2 3 5 6 7:4 3,12 4 6>
Dual net hqc355

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 sqc13032 Pn-3m 224 cubic {12,4,6} 32 (3,4)
Full image sqc13023 Ia-3 206 cubic {12,4,6} 32 (3,4)
Full image sqc13022 Fd-3m 227 cubic {12,4,6} 32 (3,4)

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 UQC3345 *266 (3,4,2) {12,4,6} {4.4.4.4.4.4.4.4.4.4.4.4}{4.3.3.... Snet sqc13032 Snet sqc13023 Snet sqc13022

Symmetry-lowered hyperbolic tilings