h-net: hqc539


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{4,4,6}
2D vertex symbol {18.4.4.18}{18.4.18.4}{4.4.4.4.4.4}
Vertex coordination sequence [(4, 12, 28, 70, 186, 454, 1160, 2964, 7394, 18864), (4, 10, 28, 70, 168, 446, 1112, 2786, 7170, 17942), (6, 12, 30, 84, 198, 516, 1314, 3252, 8382, 21084)]
Delaney-Dress Symbol <539.2:7:1 3 5 7,2 3 6 5 7,1 4 5 6 7:18 4,4 4 6>
Dual net hqc447

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 sqc3975 R-3m 166 rhombohedral {4,4,6} 10 (3,3)
Full image sqc3977 R-3 148 rhombohedral {4,4,6} 10 (3,4)
Full image sqc3978 R-3 148 rhombohedral {4,4,6} 10 (3,4)
Full image sqc3976 R-3m 166 rhombohedral {4,4,6} 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 UQC3442 *2626 (3,3,2) {4,4,6} {18.4.4.18}{18.4.18.4}{4.4.4.4.4.4} Snet sqc3975 Snet sqc3977 Snet sqc3976
Tiling details UQC3443 *2626 (3,3,2) {4,4,6} {18.4.4.18}{18.4.18.4}{4.4.4.4.4.4} Snet sqc3976 Snet sqc3978 Snet sqc3975

Symmetry-lowered hyperbolic tilings