h-net: hqc1518


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,3,8,12}
2D vertex symbol {4.4.4}{4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(3, 8, 38, 91, 264, 548, 1544, 3196, 9000, 18628), (3, 12, 34, 113, 240, 678, 1404, 3954, 8184, 23046), (8, 40, 92, 264, 548, 1544, 3196, 9000, 18628, 52456), (12, 36, 114, 240, 678, 1404, 3954, 8184, 23046, 47700)]
Delaney-Dress Symbol <1518.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:4 4,3 3 8 12>
Dual net hqc1307

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 sqc13843 Im-3m 229 cubic {3,3,8,12} 58 (4,4)
Full image sqc14475 Ia-3d 230 cubic {3,3,8,12} 116 (4,5)
Full image sqc13844 Pn-3m 224 cubic {3,3,8,12} 58 (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 UQC4671 *246 (4,4,2) {3,3,8,12} {4.4.4}{4.4.4}{4.4.4.4.4.4.4.4}{... Snet sqc13843 Snet sqc14475 Snet sqc13844

Symmetry-lowered hyperbolic tilings