h-net: hqc2122


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,24,12}
2D vertex symbol {3.3.3.3}{3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 40, 76, 644, 1060, 8972, 14764, 124964), (4, 47, 136, 688, 1896, 9584, 26408, 133488), (24, 48, 408, 672, 5688, 9360, 79224), (12, 108, 180, 1524, 2508, 21228, 34932, 295668)]
Delaney-Dress Symbol <2122.2:12:2 4 6 8 10 12,3 6 5 9 12 11,1 2 3 4 7 8 9 10 11 12:3 3,4 4 24 12>
Dual net hqc2014

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 sqc14155 Pn-3m 224 cubic {4,4,24,12} 44 (4,5)
Full image sqc14156 Ia-3 206 cubic {4,4,24,12} 44 (4,6)
Full image sqc14157 Fd-3m 227 cubic {4,4,24,12} 44 (4,5)

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 UQC5207 *266 (4,5,2) {4,4,24,12} {3.3.3.3}{3.3.3.3}{3.3.3.3.3.3.3... Snet sqc14155 Snet sqc14156 Snet sqc14157

Symmetry-lowered hyperbolic tilings