h-net: hqc2077


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{6,8,3,12,4}
2D vertex symbol {4.4.4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(6, 36, 156, 630, 2418, 10164, 39876, 166746), (8, 32, 136, 536, 2240, 8760, 36656, 143456), (3, 14, 56, 234, 913, 3829, 15003, 62753), (12, 48, 180, 768, 3036, 12672, 49524), (4, 22, 88, 330, 1404, 5544, 23150, 90494)]
Delaney-Dress Symbol <2077.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,6 8 3 12 4>
Dual net hqc1957

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 sqc8905 R-3m 166 rhombohedral {6,8,3,12,4} 14 (5,5)
Full image sqc8550 R-3 148 rhombohedral {6,8,3,12,4} 14 (5,6)
Full image sqc8556 R-3 148 rhombohedral {6,8,3,12,4} 14 (5,6)
Full image sqc8549 R-3m 166 rhombohedral {6,8,3,12,4} 14 (5,5)

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 UQC5438 *2626 (5,5,2) {6,8,3,12,4} {4.4.4.4.4.4}{4.4.4.4.4.4.4.4}{4... Snet sqc8905 Snet sqc8556 Snet sqc8549
Tiling details UQC5439 *2626 (5,5,2) {6,8,3,12,4} {4.4.4.4.4.4}{4.4.4.4.4.4.4.4}{4... Snet sqc8549 Snet sqc8550 Snet sqc8905

Symmetry-lowered hyperbolic tilings