h-net: hqc1168


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,18,8}
2D vertex symbol {3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 32, 55, 205, 323, 1197, 1883, 6977, 10975, 40665), (18, 24, 138, 144, 810, 840, 4722, 4896, 27522, 28536), (8, 52, 56, 316, 328, 1844, 1912, 10748, 11144, 62644)]
Delaney-Dress Symbol <1168.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:3 3,4 18 8>
Dual net hqc1025

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 sqc13614 Im-3m 229 cubic {4,18,8} 34 (3,4)
Full image sqc14444 Ia-3d 230 cubic {4,18,8} 68 (3,5)
Full image sqc13615 Pn-3m 224 cubic {4,8,18} 34 (3,4)

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 UQC4053 *246 (3,4,2) {4,18,8} {3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.... Snet sqc13614 Snet sqc14444 Snet sqc13615

Symmetry-lowered hyperbolic tilings