h-net: hqc851


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,6,4}
2D vertex symbol {5.5.3.3}{3.3.3.3}{5.5.5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(4, 8, 22, 56, 128, 292, 676, 1526, 3496, 7904), (4, 4, 16, 44, 92, 208, 488, 1132, 2516, 5864), (6, 18, 42, 96, 222, 516, 1146, 2670, 5934, 13812), (4, 20, 48, 104, 244, 540, 1256, 2800, 6516, 14500)]
Delaney-Dress Symbol <851.2:8:1 6 3 5 8,2 4 5 7 8,3 2 4 5 6 7 8:5 3,4 4 6 4>
Dual net hqc584

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 sqc13432 Pm-3n 223 cubic {4,4,6,4} 44 (4,4)
Full image sqc13431 I-43d 220 cubic {4,4,6,4} 44 (4,4)
Full image sqc11066 P-43m 215 cubic {4,6,4,4} 22 (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 UQC4176 *344 (4,4,2) {4,4,6,4} {5.5.3.3}{3.3.3.3}{5.5.5.5.5.5}{... Snet sqc13432 Snet sqc13431 Snet sqc11066

Symmetry-lowered hyperbolic tilings