h-net: hqc1846


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,8,3,6}
2D vertex symbol {5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(4, 20, 36, 76, 148, 300, 584, 1188, 2332, 4692), (8, 12, 38, 58, 146, 252, 560, 1036, 2174, 4182), (3, 13, 19, 57, 89, 209, 383, 811, 1551, 3187), (6, 15, 21, 72, 99, 261, 444, 987, 1833, 3840)]
Delaney-Dress Symbol <1846.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,4 8 3 6>
Dual net hqc1717

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 sqc14077 Pm-3m 221 cubic {4,8,3,6} 56 (4,5)
Full image sqc14078 I4132 214 cubic {4,8,3,6} 56 (4,6)
Full image sqc12506 P4232 208 cubic {3,6,4,8} 28 (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 UQC5020 *2223 (4,5,2) {4,8,3,6} {5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3... Snet sqc14077 Snet sqc14078 Snet sqc12506

Symmetry-lowered hyperbolic tilings