h-net: hqc567


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,3,3}
2D vertex symbol {10.4.10}{10.10.4}{10.10.10}
Vertex coordination sequence [(3, 5, 8, 15, 23, 32, 47, 73, 114, 165), (3, 5, 9, 14, 22, 33, 49, 75, 108, 163), (3, 6, 9, 15, 21, 33, 54, 75, 108, 165)]
Delaney-Dress Symbol <567.2:7:1 3 5 7,2 6 4 5 7,1 4 5 6 7:10 4,3 3 3>
Dual net hqc412

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 sqc13201 Pm-3m 221 cubic {3,3,3} 56 (3,3)
Full image sqc13202 I4132 214 cubic {3,3,3} 56 (3,4)
Full image sqc10107 P4232 208 cubic {3,3,3} 28 (3,3)

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 UQC3503 *2223 (3,3,2) {3,3,3} {10.4.10}{10.10.4}{10.10.10} Snet sqc13201 Snet sqc13202 Snet sqc10107

Symmetry-lowered hyperbolic tilings