h-net: hqc546


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{12,3,12}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5}{5.4.5.4.5.4.5.4.5.4.5.4}
Vertex coordination sequence [(12, 78, 504, 2676, 14976, 82506), (3, 32, 103, 770, 3955, 23742, 128301), (12, 18, 180, 840, 5736, 29994, 172380)]
Delaney-Dress Symbol <546.2:7:1 3 5 7,2 4 5 6 7,1 2 3 6 7:5 4,12 3 12>
Dual net hqc369

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 sqc3910 R-3m 166 rhombohedral {12,3,12} 8 (3,3)
Full image sqc3900 R-3m 166 rhombohedral {12,3,12} 8 (3,4)
Full image sqc3919 R-3m 166 rhombohedral {12,3,12} 8 (3,4)
Full image sqc3920 R-3m 166 rhombohedral {12,3,12} 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 UQC3461 *2626 (3,3,2) {12,3,12} {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5}... Snet sqc3910 Snet sqc3900 Snet sqc3920
Tiling details UQC3462 *2626 (3,3,2) {12,3,12} {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5}... Snet sqc3920 Snet sqc3919 Snet sqc3910

Symmetry-lowered hyperbolic tilings