h-net: hqc1918


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{5,4}
2D vertex symbol {4.3.3.6.4}{3.3.3.3}
Vertex coordination sequence [(4, 8, 22, 32, 62, 100, 180, 304, 530, 904), (5, 11, 21, 37, 64, 111, 191, 329, 567, 976)]
Delaney-Dress Symbol <1918.2:12:1 2 3 4 5 6 7 9 11 12,2 4 6 8 9 12 11,3 12 5 7 10 11:4 4 6 3 3,5 4>
Dual net hqc2049

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 sqc14253 Pm-3m 221 cubic {4,5} 60 (2,5)
Full image sqc14254 I4132 214 cubic {4,5,5} 60 (3,6)
Full image sqc12783 P4232 208 cubic {4,5} 30 (2,5)

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 UQC2526 *2223 (2,5,5) {4,5} {4.3.3.6.4}{3.3.3.3} Snet sqc14253 Snet sqc14254 Snet sqc12783

Symmetry-lowered hyperbolic tilings