h-net: hqc731


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{4,24}
2D vertex symbol {6.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3}
Vertex coordination sequence [(24, 276, 3036, 33396, 367572), (4, 47, 547, 6064, 66740)]
Delaney-Dress Symbol <731.2:8:1 2 4 6 7 8,1 3 8 5 7,2 5 6 7 8:6 4 3,4 24>
Dual net hqc847

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 sqc4748 R-3m 166 rhombohedral {24,4} 7 (2,4)
Full image sqc4735 R-3m 166 rhombohedral {24,4} 7 (2,5)
Full image sqc4745 R-3m 166 rhombohedral {24,4} 7 (2,5)
Full image sqc4750 R-3m 166 rhombohedral {24,4} 7 (2,4)

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 UQC992 *2626 (2,4,3) {4,24} {6.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.... Snet sqc4748 Snet sqc4735 Snet sqc4750
Tiling details UQC993 *2626 (2,4,3) {4,24} {6.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.... Snet sqc4750 Snet sqc4745 Snet sqc4748

Symmetry-lowered hyperbolic tilings