h-net: hqc1033


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{5,4}
2D vertex symbol {4.4.4.4.4}{4.3.4.4}
Vertex coordination sequence [(5, 13, 24, 43, 85, 162, 291, 531, 1000, 1867), (4, 9, 22, 46, 77, 136, 268, 508, 911, 1666)]
Delaney-Dress Symbol <1033.2:9:1 2 3 5 7 8 9,2 4 8 6 7 9,1 3 6 7 9:4 4 4 3,5 4>
Dual net hqc1226

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 sqc13731 Pm-3m 221 cubic {5,4} 48 (2,4)
Full image sqc13732 I4132 214 cubic {5,4} 48 (2,5)
Full image sqc11690 P4232 208 cubic {4,5} 24 (2,4)

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 UQC1541 *2223 (2,4,4) {5,4} {4.4.4.4.4}{4.3.4.4} Snet sqc13731 Snet sqc13732 Snet sqc11690

Symmetry-lowered hyperbolic tilings