h-net: hqc1712


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{3,5}
2D vertex symbol {4.4.9}{9.4.4.4.4}
Vertex coordination sequence [(5, 12, 20, 32, 58, 106, 179, 288, 473, 808), (3, 6, 14, 28, 44, 70, 125, 222, 373, 607)]
Delaney-Dress Symbol <1712.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,3 8 6 7 10 11:4 9 4 4,3 5>
Dual net hqc1843

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 sqc14114 Pm-3m 221 cubic {5,3} 72 (2,5)
Full image sqc14123 I4132 214 cubic {5,3,3} 72 (3,6)
Full image sqc12545 P4232 208 cubic {3,5} 36 (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 UQC2181 *2223 (2,5,4) {5,3} {4.4.9}{9.4.4.4.4} Snet sqc14114 Snet sqc14123 Snet sqc12545

Symmetry-lowered hyperbolic tilings