h-net: hqc1532


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,3,6,8}
2D vertex symbol {8.4.4}{8.4.4}{4.4.4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(3, 7, 21, 44, 121, 245, 636, 1275, 3297, 6597), (3, 9, 20, 55, 114, 299, 600, 1556, 3112, 8056), (6, 21, 45, 123, 246, 636, 1275, 3297, 6597, 17079), (8, 20, 56, 116, 300, 600, 1556, 3112, 8056, 16120)]
Delaney-Dress Symbol <1532.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:8 4,3 3 6 8>
Dual net hqc1304

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 sqc13880 Pm-3n 223 cubic {3,3,6,8} 62 (4,4)
Full image sqc13881 I-43d 220 cubic {3,3,6,8} 62 (4,5)
Full image sqc12149 P-43m 215 cubic {3,3,8,6} 31 (4,4)

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 UQC4695 *344 (4,4,2) {3,3,6,8} {8.4.4}{8.4.4}{4.4.4.4.4.4}{4.4.... Snet sqc13880 Snet sqc13881 Snet sqc12149

Symmetry-lowered hyperbolic tilings