h-net: hqc1730


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{3,5}
2D vertex symbol {12.4.3}{3.4.12.12.4}
Vertex coordination sequence [(5, 12, 23, 42, 77, 140, 249, 442, 787, 1404), (3, 5, 10, 22, 42, 77, 140, 249, 442, 787)]
Delaney-Dress Symbol <1730.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,3 8 6 7 10 11:12 3 4 12,3 5>
Dual net hqc1862

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 sqc14125 Pn-3m 224 cubic {3,5} 72 (2,5)
Full image sqc14109 Ia-3 206 cubic {5,3,3} 72 (3,6)
Full image sqc14108 Fd-3m 227 cubic {5,3} 72 (2,5)

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 UQC2209 *266 (2,5,4) {5,3} {12.4.3}{3.4.12.12.4} Snet sqc14125 Snet sqc14109 Snet sqc14108

Symmetry-lowered hyperbolic tilings