h-net: hqc566


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,6,6}
2D vertex symbol {5.12.5}{5.5.12.5.5.12}{5.5.5.5.5.5}
Vertex coordination sequence [(3, 12, 38, 140, 386, 1395, 3996, 14153, 41036), (6, 18, 70, 182, 702, 1888, 7090, 19486, 71650), (6, 30, 66, 264, 702, 2706, 7230, 27288, 74646)]
Delaney-Dress Symbol <566.2:7:1 3 5 7,2 6 4 5 7,1 4 5 6 7:5 12,3 6 6>
Dual net hqc428

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 sqc3957 R-3m 166 rhombohedral {3,6,6} 10 (3,3)
Full image sqc3937 R-3 148 rhombohedral {3,6,6} 10 (3,4)
Full image sqc3938 R-3 148 rhombohedral {3,6,6} 10 (3,4)
Full image sqc3935 R-3m 166 rhombohedral {3,6,6} 10 (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 UQC3501 *2626 (3,3,2) {3,6,6} {5.12.5}{5.5.12.5.5.12}{5.5.5.5.... Snet sqc3957 Snet sqc3938 Snet sqc3935
Tiling details UQC3502 *2626 (3,3,2) {3,6,6} {5.12.5}{5.5.12.5.5.12}{5.5.5.5.... Snet sqc3935 Snet sqc3937 Snet sqc3957

Symmetry-lowered hyperbolic tilings