h-net: hqc501


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{18,3,6}
2D vertex symbol {3.8.3.3.8.3.3.8.3.3.8.3.3.8.3.3.8.3}{3.8.8}{8.8.8.8.8.8}
Vertex coordination sequence [(18, 102, 570, 2964, 16542, 92034), (3, 36, 181, 1108, 5795, 32404, 178579), (6, 12, 186, 1020, 5694, 29628, 165234)]
Delaney-Dress Symbol <501.2:7:1 3 5 7,2 3 4 6 7,1 4 5 6 7:3 8,18 3 6>
Dual net hqc408

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 sqc3907 R-3m 166 rhombohedral {18,3,6} 8 (3,3)
Full image sqc3901 R-3m 166 rhombohedral {18,3,6} 8 (3,4)
Full image sqc3918 R-3m 166 rhombohedral {18,3,6} 8 (3,4)
Full image sqc3917 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 UQC3384 *2626 (3,3,2) {18,3,6} {3.8.3.3.8.3.3.8.3.3.8.3.3.8.3.3... Snet sqc3907 Snet sqc3901 Snet sqc3917
Tiling details UQC3385 *2626 (3,3,2) {18,3,6} {3.8.3.3.8.3.3.8.3.3.8.3.3.8.3.3... Snet sqc3917 Snet sqc3918 Snet sqc3907

Symmetry-lowered hyperbolic tilings