h-net: hqc1586


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,8,3,8}
2D vertex symbol {4.4.4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 30, 36, 120, 138, 450, 516, 1680, 1926, 6270), (8, 16, 48, 60, 188, 220, 708, 816, 2648, 3040), (3, 14, 25, 64, 91, 246, 335, 924, 1245, 3454), (8, 16, 28, 76, 96, 296, 348, 1116, 1288, 4176)]
Delaney-Dress Symbol <1586.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,6 8 3 8>
Dual net hqc1382

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 sqc13854 Im-3m 229 cubic {3,8,6,8} 46 (4,4)
Full image sqc14480 Ia-3d 230 cubic {6,8,3,8} 92 (4,5)
Full image sqc13870 Pn-3m 224 cubic {8,3,8,6} 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 UQC4732 *246 (4,4,2) {6,8,3,8} {4.4.4.4.4.4}{4.3.3.4.4.3.3.4}{4... Snet sqc13854 Snet sqc14480 Snet sqc13870

Symmetry-lowered hyperbolic tilings