h-net: hqc1222


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,3,3}
2D vertex symbol {10.10.10.10}{10.4.10}{10.4.4}{4.4.4}
Vertex coordination sequence [(4, 10, 20, 32, 46, 74, 132, 226, 364, 580), (3, 6, 11, 23, 43, 69, 108, 174, 287, 477), (3, 4, 7, 17, 36, 60, 90, 140, 232, 393), (3, 3, 3, 9, 24, 48, 75, 111, 171, 285)]
Delaney-Dress Symbol <1222.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:10 4,4 3 3 3>
Dual net hqc960

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 sqc13752 Pm-3m 221 cubic {4,3,3,3} 68 (4,4)
Full image sqc13742 I4132 214 cubic {4,3,3,3} 68 (4,5)
Full image sqc11605 P4232 208 cubic {3,3,4,3} 34 (4,4)

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 UQC4345 *2223 (4,4,2) {4,3,3,3} {10.10.10.10}{10.4.10}{10.4.4}{4... Snet sqc13752 Snet sqc13742 Snet sqc11605

Symmetry-lowered hyperbolic tilings