h-net: hqc875


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{3,3,3,4}
2D vertex symbol {8.6.6}{8.6.6}{6.6.6}{6.6.6.6}
Vertex coordination sequence [(3, 6, 12, 18, 29, 44, 73, 108, 168, 252), (3, 7, 12, 19, 29, 48, 71, 113, 168, 273), (3, 6, 9, 18, 27, 42, 63, 102, 153, 246), (4, 8, 12, 20, 36, 52, 76, 116, 204, 296)]
Delaney-Dress Symbol <875.2:8:2 4 6 8,1 2 5 7 6 8,3 4 5 6 7 8:8 6,3 3 3 4>
Dual net hqc698

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 sqc13543 Pm-3n 223 cubic {3,3,3,4} 62 (4,3)
Full image sqc13542 I-43d 220 cubic {3,3,3,4} 62 (4,4)
Full image sqc11245 P-43m 215 cubic {3,3,4,3} 31 (4,3)

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 UQC4210 *344 (4,3,2) {3,3,3,4} {8.6.6}{8.6.6}{6.6.6}{6.6.6.6} Snet sqc13543 Snet sqc13542 Snet sqc11245

Symmetry-lowered hyperbolic tilings