h-net: hqc1559


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{3,4,3,4,4}
2D vertex symbol {4.4.4}{4.6.6.4}{4.6.6}{6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(3, 6, 12, 30, 30, 48, 78, 174, 183, 318), (4, 7, 16, 21, 40, 51, 104, 129, 244, 312), (3, 8, 13, 28, 32, 60, 83, 168, 197, 376), (4, 12, 12, 20, 36, 80, 80, 140, 216, 452), (4, 8, 16, 20, 44, 56, 100, 128, 272, 332)]
Delaney-Dress Symbol <1559.2:10:2 4 6 8 10,1 3 4 7 9 8 10,1 2 5 6 7 8 9 10:4 6,3 4 3 4 4>
Dual net hqc1433

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 sqc14024 Pm-3n 223 cubic {3,4,3,4,4} 68 (5,4)
Full image sqc14023 I-43d 220 cubic {3,4,3,4,4} 68 (5,5)
Full image sqc12280 P-43m 215 cubic {3,4,4,4,3} 34 (5,4)

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 UQC5254 *344 (5,4,2) {3,4,3,4,4} {4.4.4}{4.6.6.4}{4.6.6}{6.6.6.6}... Snet sqc14024 Snet sqc14023 Snet sqc12280

Symmetry-lowered hyperbolic tilings