h-net: hqc1085


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{4,5}
2D vertex symbol {6.8.3.8}{8.6.8.3.3}
Vertex coordination sequence [(5, 14, 39, 102, 277, 750, 2019, 5416, 14561, 39226), (4, 11, 33, 90, 242, 642, 1729, 4673, 12584, 33804)]
Delaney-Dress Symbol <1085.2:9:1 2 4 6 7 8 9,1 3 8 5 7 9,2 5 6 7 9:6 8 3 6,4 5>
Dual net hqc1247

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 sqc6216 R-3m 166 rhombohedral {5,4} 12 (2,4)
Full image sqc6203 R-3m 166 rhombohedral {5,4} 12 (2,5)
Full image sqc6204 R-3m 166 rhombohedral {5,4} 12 (2,5)
Full image sqc6202 R-3m 166 rhombohedral {5,4} 12 (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 UQC1583 *2626 (2,4,4) {4,5} {6.8.3.8}{8.6.8.3.3} Snet sqc6216 Snet sqc6204 Snet sqc6202
Tiling details UQC1584 *2626 (2,4,4) {4,5} {6.8.3.8}{8.6.8.3.3} Snet sqc6202 Snet sqc6203 Snet sqc6216

Symmetry-lowered hyperbolic tilings