h-net: hqc1164


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,3,3}
2D vertex symbol {3.12.12.3}{3.12.12}{12.12.12}{12.12.12}
Vertex coordination sequence [(4, 5, 12, 20, 30, 58, 105, 140, 284, 484), (3, 5, 9, 20, 26, 56, 89, 137, 247, 458), (3, 9, 9, 18, 42, 51, 87, 207, 240, 429), (3, 6, 9, 15, 42, 45, 81, 174, 243, 384)]
Delaney-Dress Symbol <1164.2:9:1 3 5 7 9,2 3 6 8 7 9,1 4 5 6 7 8 9:3 12,4 3 3 3>
Dual net hqc1070

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 sqc11705 P4232 208 cubic {4,3,3,3} 32 (4,4)
Full image sqc11702 I213 199 cubic {4,3,3,3} 32 (4,5)
Full image sqc11703 F-43m 216 cubic {4,3,3,3} 32 (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 UQC4314 *2323 (4,4,2) {4,3,3,3} {3.12.12.3}{3.12.12}{12.12.12}{1... Snet sqc11705 Snet sqc11702 Snet sqc11703

Symmetry-lowered hyperbolic tilings