h-net: hqc776


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{3,4,6}
2D vertex symbol {5.18.5}{5.5.18.18}{5.5.5.5.5.5}
Vertex coordination sequence [(3, 8, 22, 56, 126, 312, 766, 1830, 4473, 10828), (4, 12, 30, 66, 166, 408, 968, 2380, 5750, 13900), (6, 18, 30, 84, 210, 486, 1218, 2904, 7050, 17226)]
Delaney-Dress Symbol <776.2:8:1 3 5 6 8,2 7 4 6 8,1 4 5 6 7 8:5 18,3 4 6>
Dual net hqc744

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 sqc5427 R-3m 166 rhombohedral {3,4,6} 13 (3,4)
Full image sqc5423 R-3 148 rhombohedral {3,4,6} 13 (3,5)
Full image sqc5424 R-3 148 rhombohedral {3,4,6} 13 (3,5)
Full image sqc5422 R-3m 166 rhombohedral {3,4,6} 13 (3,4)

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 UQC3586 *2626 (3,4,2) {3,4,6} {5.18.5}{5.5.18.18}{5.5.5.5.5.5} Snet sqc5427 Snet sqc5424 Snet sqc5422
Tiling details UQC3587 *2626 (3,4,2) {3,4,6} {5.18.5}{5.5.18.18}{5.5.5.5.5.5} Snet sqc5422 Snet sqc5423 Snet sqc5427

Symmetry-lowered hyperbolic tilings