h-net: hqc2270


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,6,4,3}
2D vertex symbol {5.4.4.5}{5.5.4.4}{4.4.4.4.4.4}{4.4.4.4}{5.5.5}
Vertex coordination sequence [(4, 12, 22, 46, 90, 172, 344, 664, 1298, 2552), (4, 9, 21, 38, 79, 151, 298, 582, 1138, 2219), (6, 12, 30, 54, 108, 216, 408, 816, 1584, 3078), (4, 12, 22, 50, 90, 180, 356, 688, 1352, 2644), (3, 9, 15, 36, 63, 141, 255, 504, 1005, 1923)]
Delaney-Dress Symbol <2270.2:13:1 3 5 7 9 11 13,2 12 6 11 8 10 13,1 4 5 6 7 8 9 10 11 12 13:5 4,4 4 6 4 3>
Dual net hqc2168

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 sqc12917 P4232 208 cubic {4,4,6,4,3} 38 (5,6)
Full image sqc12916 I213 199 cubic {4,4,6,4,3} 38 (5,7)
Full image sqc12915 F-43m 216 cubic {4,4,6,4,3} 38 (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 UQC5740 *2323 (5,6,2) {4,4,6,4,3} {5.4.4.5}{5.5.4.4}{4.4.4.4.4.4}{... Snet sqc12917 Snet sqc12916 Snet sqc12915

Symmetry-lowered hyperbolic tilings