h-net: hqc1556


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{3,4,4,4,3}
2D vertex symbol {4.4.4}{4.6.6.4}{4.6.4.6}{6.6.6.6}{6.6.6}
Vertex coordination sequence [(3, 6, 15, 30, 57, 114, 213, 420, 795, 1566), (4, 9, 18, 36, 72, 135, 266, 504, 994, 1881), (4, 10, 20, 40, 76, 150, 284, 560, 1060, 2090), (3, 9, 21, 36, 69, 135, 267, 504, 993, 1881)]
Delaney-Dress Symbol <1556.2:10:2 4 6 8 10,1 3 4 7 6 9 10,1 2 5 6 7 8 9 10:4 6,3 4 4 4 3>
Dual net hqc1333

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 sqc12275 P4232 208 cubic {3,4,4,4,3} 32 (5,4)
Full image sqc12270 I213 199 cubic {3,4,4,4,3} 32 (5,5)
Full image sqc12274 F-43m 216 cubic {3,4,4,4,3} 32 (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 UQC5249 *2323 (5,4,2) {3,4,4,4,3} {4.4.4}{4.6.6.4}{4.6.4.6}{6.6.6.... Snet sqc12275 Snet sqc12270 Snet sqc12274

Symmetry-lowered hyperbolic tilings