h-net: hqc1573


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,18,4}
2D vertex symbol {4.4.4.4}{4.3.3.4}{4.3.3.4.3.3.4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3}
Vertex coordination sequence [(4, 8, 52, 32, 228, 120, 852, 448, 3180, 1672), (4, 32, 20, 142, 76, 540, 284, 2016, 1060, 7524), (18, 12, 90, 48, 342, 180, 1278, 672, 4770, 2508)]
Delaney-Dress Symbol <1573.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,4 4 18 4>
Dual net hqc1371

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 sqc13809 Im-3m 229 cubic {4,4,4,18} 46 (4,4)
Full image sqc14469 Ia-3d 230 cubic {4,4,18,4} 92 (4,5)
Full image sqc13812 Pn-3m 224 cubic {4,4,4,18} 46 (4,4)

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 UQC4715 *246 (4,4,2) {4,4,18,4} {4.4.4.4}{4.3.3.4}{4.3.3.4.3.3.4... Snet sqc13809 Snet sqc14469 Snet sqc13812

Symmetry-lowered hyperbolic tilings