h-net: hqc1812


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,3,4,6}
2D vertex symbol {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(8, 16, 40, 76, 156, 304, 616, 1208, 2436, 4820), (3, 14, 22, 62, 107, 236, 439, 914, 1762, 3596), (4, 20, 30, 76, 128, 292, 536, 1132, 2166, 4436), (6, 9, 36, 51, 138, 228, 516, 945, 1998, 3825)]
Delaney-Dress Symbol <1812.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,8 3 4 6>
Dual net hqc1641

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 sqc14079 Pm-3m 221 cubic {8,3,4,6} 56 (4,5)
Full image sqc14080 I4132 214 cubic {8,3,4,6} 56 (4,6)
Full image sqc12481 P4232 208 cubic {8,6,3,4} 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 UQC4946 *2223 (4,5,2) {8,3,4,6} {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4... Snet sqc14079 Snet sqc14080 Snet sqc12481

Symmetry-lowered hyperbolic tilings