h-net: hqc853


Topological data

Orbifold symbol*446
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,12,4}
2D vertex symbol {5.5.3.3}{3.3.3.3}{5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(4, 4, 40, 116, 596, 1600, 8648, 23332, 125204), (4, 14, 52, 236, 782, 3406, 11350, 49370), (12, 36, 192, 516, 2784, 7512, 40308, 108768), (4, 44, 120, 632, 1708, 9156, 24704, 132592)]
Delaney-Dress Symbol <853.2:8:1 6 3 5 8,2 4 5 7 8,3 2 4 5 6 7 8:5 3,4 4 12 4>
Dual net hqc589

Derived s-nets

s-nets with faithful topology

2 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 sqc10931 R-3m 166 rhombohedral {4,4,4,12,4,12} 20 (6,7)
Full image sqc10750 R-3m 166 rhombohedral {4,4,4,12,4,12} 20 (6,8)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC6028 *2626 (6,7,2) {4,4,4,12,4,12} {3.3.3.3}{3.5.5.3}{3.5.5.3}{5.5.... Snet sqc10931 Snet sqc10750 Snet sqc10931

Symmetry-lowered hyperbolic tilings