h-net: hqc2110


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,4,4,3,6}
2D vertex symbol {12.12.12}{12.12.12.12}{12.3.3.12}{12.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(3, 9, 24, 36, 60, 105, 189, 342, 651, 1113), (4, 10, 18, 36, 60, 104, 186, 350, 608, 1134), (4, 6, 9, 21, 48, 82, 150, 255, 467, 816), (3, 5, 7, 17, 37, 81, 129, 227, 401, 725), (6, 3, 9, 21, 45, 96, 147, 267, 465, 849)]
Delaney-Dress Symbol <2110.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:12 3,3 4 4 3 6>
Dual net hqc1968

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 sqc12834 P4232 208 cubic {3,4,4,3,6} 38 (5,5)
Full image sqc12861 I213 199 cubic {3,4,4,3,6} 38 (5,6)
Full image sqc12862 F-43m 216 cubic {3,4,4,3,6} 38 (5,5)

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 UQC5486 *2323 (5,5,2) {3,4,4,3,6} {12.12.12}{12.12.12.12}{12.3.3.1... Snet sqc12834 Snet sqc12861 Snet sqc12862

Symmetry-lowered hyperbolic tilings