h-net: hqc520


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,3,4}
2D vertex symbol {18.4.18}{18.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 5, 7, 9, 12, 17, 23, 31, 41, 52), (3, 5, 6, 8, 12, 16, 22, 30, 39, 51), (4, 4, 4, 8, 12, 16, 20, 28, 40, 48)]
Delaney-Dress Symbol <520.2:7:1 3 5 7,2 3 4 6 7,1 4 5 6 7:18 4,3 3 4>
Dual net hqc382

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 sqc13197 Im-3m 229 cubic {3,4,3} 54 (3,3)
Full image sqc14407 Ia-3d 230 cubic {3,3,4} 108 (3,4)
Full image sqc10106 Im-3m 229 cubic {3,3,4} 27 (3,3)

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 UQC3414 *246 (3,3,2) {3,3,4} {18.4.18}{18.4.4}{4.4.4.4} Snet sqc13197 Snet sqc14407 Snet sqc10106

Symmetry-lowered hyperbolic tilings