h-net: hqc2078


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,4,3,4,4}
2D vertex symbol {8.8.8}{8.4.4.8}{8.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 9, 15, 24, 27, 57, 75, 132, 165, 303), (4, 7, 15, 20, 37, 47, 86, 108, 198, 249), (3, 7, 10, 21, 29, 52, 65, 120, 151, 276), (4, 8, 10, 22, 30, 52, 64, 120, 152, 276), (4, 6, 10, 14, 32, 44, 72, 86, 168, 216)]
Delaney-Dress Symbol <2078.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:8 4,3 4 3 4 4>
Dual net hqc1931

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 sqc14284 Pm-3m 221 cubic {3,4,3,4,4} 80 (5,5)
Full image sqc14285 I4132 214 cubic {3,4,3,4,4} 80 (5,6)
Full image sqc12846 P4232 208 cubic {4,4,3,4,3} 40 (5,5)

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 UQC5440 *2223 (5,5,2) {3,4,3,4,4} {8.8.8}{8.4.4.8}{8.4.4}{4.4.4.4}... Snet sqc14284 Snet sqc14285 Snet sqc12846

Symmetry-lowered hyperbolic tilings