h-net: hqc1459


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{6,4,3,3}
2D vertex symbol {5.5.5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5}
Vertex coordination sequence [(6, 24, 66, 162, 408, 1056, 2730, 7014, 17994, 46206), (4, 12, 32, 86, 222, 564, 1444, 3714, 9552, 24542), (3, 8, 18, 49, 134, 343, 870, 2231, 5744, 14769), (3, 6, 12, 33, 102, 267, 660, 1683, 4350, 11199)]
Delaney-Dress Symbol <1459.2:10:1 3 5 7 8 10,2 4 5 8 9 10,1 2 3 6 7 8 9 10:5 5,6 4 3 3>
Dual net hqc1413

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 sqc12202 P4232 208 cubic {6,4,3,3} 32 (4,5)
Full image sqc12191 I213 199 cubic {6,4,3,3} 32 (4,6)
Full image sqc12161 F-43m 216 cubic {6,4,3,3} 32 (4,5)

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 UQC4463 *2323 (4,5,2) {6,4,3,3} {5.5.5.5.5.5}{5.5.5.5}{5.5.5}{5.... Snet sqc12202 Snet sqc12191 Snet sqc12161

Symmetry-lowered hyperbolic tilings