h-net: hqc1372


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{3,4}
2D vertex symbol {4.4.18}{18.4.6.4}
Vertex coordination sequence [(4, 8, 11, 14, 22, 36, 52, 72, 107, 162), (3, 5, 9, 15, 20, 27, 43, 68, 96, 133)]
Delaney-Dress Symbol <1372.2:10:1 2 3 5 7 8 9 10,2 4 5 8 9 10,3 8 6 7 10:4 18 4 6,3 4>
Dual net hqc1585

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 sqc14007 Pn-3m 224 cubic {4,3} 72 (2,4)
Full image sqc14017 Ia-3 206 cubic {4,3,3} 72 (3,5)
Full image sqc14015 Fd-3m 227 cubic {4,3} 72 (2,4)

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 UQC1863 *266 (2,4,4) {4,3} {4.4.18}{18.4.6.4} Snet sqc14007 Snet sqc14017 Snet sqc14015

Symmetry-lowered hyperbolic tilings