h-net: hqc1584


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,4,12,4}
2D vertex symbol {4.4.4.4.4.4}{4.3.3.4}{4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3}
Vertex coordination sequence [(6, 12, 42, 24, 126, 84, 354, 240, 1038, 684), (4, 22, 16, 72, 48, 210, 140, 608, 404, 1758), (12, 8, 44, 32, 132, 88, 388, 256, 1116, 744), (4, 20, 16, 64, 64, 172, 184, 516, 516, 1488)]
Delaney-Dress Symbol <1584.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,6 4 12 4>
Dual net hqc1369

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 sqc13830 Im-3m 229 cubic {4,4,6,12} 46 (4,4)
Full image sqc14474 Ia-3d 230 cubic {6,4,12,4} 92 (4,5)
Full image sqc13831 Pn-3m 224 cubic {4,12,4,6} 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 UQC4730 *246 (4,4,2) {6,4,12,4} {4.4.4.4.4.4}{4.3.3.4}{4.3.3.4.3... Snet sqc13830 Snet sqc14474 Snet sqc13831

Symmetry-lowered hyperbolic tilings