h-net: hqc1175


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{16,3,12}
2D vertex symbol {3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(16, 56, 168, 488, 1408, 4072, 11768, 34008, 98288), (3, 29, 91, 265, 767, 2217, 6407, 18517, 53515), (12, 54, 156, 450, 1308, 3774, 10908, 31530, 91116)]
Delaney-Dress Symbol <1175.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:3 3,16 3 12>
Dual net hqc1028

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 sqc13616 Im-3m 229 cubic {3,16,12} 34 (3,4)
Full image sqc14445 Ia-3d 230 cubic {16,3,12} 68 (3,5)
Full image sqc13610 Pn-3m 224 cubic {3,16,12} 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 UQC4064 *246 (3,4,2) {16,3,12} {3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3... Snet sqc13616 Snet sqc14445 Snet sqc13610

Symmetry-lowered hyperbolic tilings