h-net: hqc560


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{18,3,6}
2D vertex symbol {5.4.5.5.4.5.5.4.5.5.4.5.5.4.5.5.4.5}{5.5.4}{5.5.5.5.5.5}
Vertex coordination sequence [(18, 120, 750, 4608, 29178, 184104), (3, 38, 241, 1576, 9731, 61362), (6, 12, 186, 1200, 7494, 46068)]
Delaney-Dress Symbol <560.2:7:1 3 5 7,2 6 4 5 7,1 4 5 6 7:5 4,18 3 6>
Dual net hqc427

Derived s-nets

s-nets with faithful topology

4 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 sqc3911 R-3m 166 rhombohedral {18,3,6} 8 (3,3)
Full image sqc3897 R-3m 166 rhombohedral {18,3,6} 8 (3,4)
Full image sqc3903 R-3m 166 rhombohedral {18,3,6} 8 (3,4)
Full image sqc3905 R-3m 166 rhombohedral {18,3,6} 8 (3,3)

s-nets with edge collapse

No items to display.

Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC3493 *2626 (3,3,2) {18,3,6} {5.4.5.5.4.5.5.4.5.5.4.5.5.4.5.5... Snet sqc3911 Snet sqc3897 Snet sqc3905
Tiling details UQC3494 *2626 (3,3,2) {18,3,6} {5.4.5.5.4.5.5.4.5.5.4.5.5.4.5.5... Snet sqc3905 Snet sqc3903 Snet sqc3911

Symmetry-lowered hyperbolic tilings