h-net: hqc1570


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,6,12}
2D vertex symbol {4.4.4.4}{4.3.3.4}{4.3.3.4.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 8, 36, 64, 152, 240, 568, 896, 2120, 3344), (4, 16, 36, 80, 152, 300, 568, 1120, 2120, 4180), (6, 20, 38, 96, 152, 360, 568, 1344, 2120, 5016), (12, 24, 60, 96, 228, 360, 852, 1344, 3180, 5016)]
Delaney-Dress Symbol <1570.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,4 4 6 12>
Dual net hqc1397

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 sqc13819 Im-3m 229 cubic {6,4,4,12} 46 (4,4)
Full image sqc14471 Ia-3d 230 cubic {4,4,6,12} 92 (4,5)
Full image sqc13829 Pn-3m 224 cubic {12,4,6,4} 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 UQC4712 *246 (4,4,2) {4,4,6,12} {4.4.4.4}{4.3.3.4}{4.3.3.4.3.3}{... Snet sqc13819 Snet sqc14471 Snet sqc13829

Symmetry-lowered hyperbolic tilings