h-net: hqc253


Topological data

Orbifold symbol*446
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,12,4}
2D vertex symbol {4.5.5}{5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(3, 14, 47, 226, 703, 3276, 10199, 47460), (12, 30, 192, 432, 2784, 6282, 40308, 90960), (4, 44, 100, 632, 1428, 9156, 20660, 132592)]
Delaney-Dress Symbol <253.2:6:1 2 4 6,1 3 5 6,2 3 4 5 6:4 5,3 12 4>
Dual net hqc194

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 sqc8944 R-3m 166 rhombohedral {3,3,12,4,12} 17 (5,5)
Full image sqc8565 R-3m 166 rhombohedral {3,3,12,4,12} 17 (5,6)

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 UQC5392 *2626 (5,5,2) {3,3,12,4,12} {4.5.5}{4.5.5}{5.5.5.5.5.5.5.5.5... Snet sqc8944 Snet sqc8565 Snet sqc8944

Symmetry-lowered hyperbolic tilings