h-net: hqc2225


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,3,4,6}
2D vertex symbol {5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(4, 12, 20, 36, 56, 96, 156, 268, 432, 728), (4, 8, 18, 26, 52, 76, 142, 212, 384, 588), (3, 9, 13, 28, 39, 79, 113, 216, 317, 583), (4, 12, 18, 38, 54, 108, 152, 284, 420, 772), (6, 9, 21, 30, 63, 87, 174, 246, 462, 681)]
Delaney-Dress Symbol <2225.2:13:1 3 5 7 9 11 13,2 4 5 8 13 10 12,1 2 3 6 7 8 9 10 11 12 13:5 4,4 4 3 4 6>
Dual net hqc2154

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 sqc14313 Pm-3m 221 cubic {4,4,3,4,6} 80 (5,6)
Full image sqc14314 I4132 214 cubic {4,4,3,4,6} 80 (5,7)
Full image sqc12889 P4232 208 cubic {4,3,6,4,4} 40 (5,6)

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 UQC5603 *2223 (5,6,2) {4,4,3,4,6} {5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.... Snet sqc14313 Snet sqc14314 Snet sqc12889

Symmetry-lowered hyperbolic tilings