h-net: hqc1906


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,4,3}
2D vertex symbol {10.3.3.10}{10.10.3.3}{3.3.3.3}{10.10.10}
Vertex coordination sequence [(4, 6, 8, 20, 28, 38, 56, 84, 146, 200), (4, 5, 13, 14, 28, 41, 55, 98, 122, 196), (4, 4, 10, 18, 22, 46, 44, 92, 136, 172), (3, 9, 9, 21, 21, 39, 75, 81, 132, 195)]
Delaney-Dress Symbol <1906.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:10 3,4 4 4 3>
Dual net hqc1745

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 sqc14126 Pm-3m 221 cubic {4,4,4,3} 68 (4,5)
Full image sqc14127 I4132 214 cubic {4,4,4,3} 68 (4,6)
Full image sqc12555 P4232 208 cubic {4,4,3,4} 34 (4,5)

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 UQC5116 *2223 (4,5,2) {4,4,4,3} {10.3.3.10}{10.10.3.3}{3.3.3.3}{... Snet sqc14126 Snet sqc14127 Snet sqc12555

Symmetry-lowered hyperbolic tilings