h-net: hqc456


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{12,4,4}
2D vertex symbol {4.4.4.4.4.4.4.4.4.4.4.4}{4.3.3.4}{3.3.3.3}
Vertex coordination sequence [(12, 66, 258, 966, 3606, 13458, 50226), (4, 12, 63, 257, 966, 3606, 13458, 50226), (4, 4, 36, 172, 644, 2404, 8972, 33484, 124964)]
Delaney-Dress Symbol <456.2:7:1 3 4 5 7,2 4 6 7,1 2 3 5 6 7:4 3,12 4 4>
Dual net hqc354

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 sqc13021 Im-3m 229 cubic {12,4,4} 34 (3,4)
Full image sqc14343 Ia-3d 230 cubic {12,4,4} 68 (3,4)
Full image sqc13031 Pn-3m 224 cubic {4,12,4} 34 (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 UQC3344 *246 (3,4,2) {12,4,4} {4.4.4.4.4.4.4.4.4.4.4.4}{4.3.3.... Snet sqc13021 Snet sqc14343 Snet sqc13031

Symmetry-lowered hyperbolic tilings