h-net: hqc772


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{18,4,6}
2D vertex symbol {5.3.5.5.3.5.5.3.5.5.3.5.5.3.5.5.3.5}{5.5.3.3}{5.5.5.5.5.5}
Vertex coordination sequence [(18, 120, 750, 4644, 29358, 185256), (4, 38, 246, 1582, 9884, 62252), (6, 18, 186, 1212, 7530, 46926)]
Delaney-Dress Symbol <772.2:8:1 3 5 6 8,2 7 4 6 8,1 4 5 6 7 8:5 3,18 4 6>
Dual net hqc745

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 sqc4762 R-3m 166 rhombohedral {18,4,6} 8 (3,4)
Full image sqc4738 R-3m 166 rhombohedral {18,4,6} 8 (3,5)
Full image sqc4756 R-3m 166 rhombohedral {18,4,6} 8 (3,5)
Full image sqc4758 R-3m 166 rhombohedral {18,4,6} 8 (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 UQC3580 *2626 (3,4,2) {18,4,6} {5.3.5.5.3.5.5.3.5.5.3.5.5.3.5.5... Snet sqc4762 Snet sqc4738 Snet sqc4758
Tiling details UQC3581 *2626 (3,4,2) {18,4,6} {5.3.5.5.3.5.5.3.5.5.3.5.5.3.5.5... Snet sqc4758 Snet sqc4756 Snet sqc4762

Symmetry-lowered hyperbolic tilings