h-net: hqc580


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{5,3}
2D vertex symbol {3.8.4.4.8}{4.4.4}
Vertex coordination sequence [(5, 13, 29, 62, 127, 259, 530, 1082, 2209, 4513), (3, 5, 11, 28, 62, 127, 259, 530, 1082, 2209)]
Delaney-Dress Symbol <580.2:8:1 2 3 4 6 7 8,1 3 5 7 8,2 4 5 6 8:3 8 4 4,5 3>
Dual net hqc852

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 sqc13449 Pm-3n 223 cubic {5,3} 48 (2,4)
Full image sqc13448 I-43d 220 cubic {5,3} 48 (2,4)
Full image sqc11099 P-43m 215 cubic {5,3} 24 (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 UQC1343 *344 (2,4,4) {5,3} {3.8.4.4.8}{4.4.4} Snet sqc13449 Snet sqc13448 Snet sqc11099

Symmetry-lowered hyperbolic tilings