h-net: hqc1551


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{3,3,3,4,3}
2D vertex symbol {4.4.4}{4.12.4}{4.12.12}{12.12.12.12}{12.12.12}
Vertex coordination sequence [(3, 3, 3, 9, 18, 45, 78, 150, 231, 465), (3, 4, 7, 13, 33, 59, 117, 180, 361, 572), (3, 6, 9, 21, 39, 82, 129, 256, 404, 817), (4, 8, 18, 30, 60, 92, 186, 300, 610, 974), (3, 9, 18, 36, 54, 105, 165, 342, 555, 1119)]
Delaney-Dress Symbol <1551.2:10:2 4 6 8 10,1 3 4 5 7 9 10,1 2 5 6 7 8 9 10:4 12,3 3 3 4 3>
Dual net hqc1312

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 sqc12292 P4232 208 cubic {3,3,3,4,3} 38 (5,4)
Full image sqc12291 I213 199 cubic {3,3,3,4,3} 38 (5,5)
Full image sqc12290 F-43m 216 cubic {3,3,3,4,3} 38 (5,4)

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 UQC5240 *2323 (5,4,2) {3,3,3,4,3} {4.4.4}{4.12.4}{4.12.12}{12.12.1... Snet sqc12292 Snet sqc12291 Snet sqc12290

Symmetry-lowered hyperbolic tilings