h-net: hqc1068


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{5,8}
2D vertex symbol {6.3.4.4.3}{3.4.6.4.3.4.6.4}
Vertex coordination sequence [(5, 20, 83, 344, 1397, 5652, 22883, 92688), (8, 36, 146, 586, 2372, 9614, 38940, 157698)]
Delaney-Dress Symbol <1068.2:9:1 2 4 6 7 8 9,1 3 4 7 8 9,2 5 6 7 9:6 3 4 6,5 8>
Dual net hqc1258

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 sqc6180 R-3m 166 rhombohedral {5,8} 9 (2,4)
Full image sqc6176 R-3 148 rhombohedral {5,8} 9 (2,5)
Full image sqc6177 R-3 148 rhombohedral {5,8} 9 (2,5)
Full image sqc6175 R-3m 166 rhombohedral {5,8} 9 (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 UQC1557 *2626 (2,4,4) {5,8} {6.3.4.4.3}{3.4.6.4.3.4.6.4} Snet sqc6180 Snet sqc6176 Snet sqc6175
Tiling details UQC1558 *2626 (2,4,4) {5,8} {6.3.4.4.3}{3.4.6.4.3.4.6.4} Snet sqc6175 Snet sqc6177 Snet sqc6180

Symmetry-lowered hyperbolic tilings