h-net: hqc178


Topological data

Orbifold symbol2*23
Transitivity (vertex, edge, ring)(2,3,1)
Vertex degrees{6,3}
2D vertex symbol {5.5.5.5.5.5}{5.5.5}
Vertex coordination sequence [(6, 21, 48, 114, 279, 660, 1572, 3768, 8985, 21438), (3, 9, 27, 69, 165, 397, 952, 2263, 5407, 12921)]
Delaney-Dress Symbol <178.1:5:1 3 5,2 4 5,1 2 3 5:5,6 3>
Dual net hqc129

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 sqc7299 I432 211 cubic {6,3} 16 (2,3)
Full image sqc12193 I4132 214 cubic {6,3} 32 (2,4)
Full image sqc12163 Fd-3m 227 cubic {6,3} 32 (2,3)

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 UQC4591 *2323 (4,5,2) {6,3,3,6} {5.5.5.5.5.5}{5.5.5}{5.5.5}{5.5.... Snet sqc7299 Snet sqc12193 Snet sqc12163

Symmetry-lowered hyperbolic tilings