h-net: hqc259


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,4,6}
2D vertex symbol {6.10.10}{10.10.10.10}{10.10.10.10.10.10}
Vertex coordination sequence [(3, 7, 21, 65, 192, 529, 1437, 3923, 10843, 30072), (4, 14, 38, 108, 288, 796, 2198, 6118, 16916, 46792), (6, 18, 54, 138, 372, 1014, 2850, 7926, 21978, 60600)]
Delaney-Dress Symbol <259.2:6:1 2 4 6,1 3 5 6,2 3 4 5 6:6 10,3 4 6>
Dual net hqc197

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 sqc2597 R-3m 166 rhombohedral {3,4,6} 10 (3,3)
Full image sqc2596 R-3m 166 rhombohedral {3,4,6} 10 (3,3)
Full image sqc2598 R-3m 166 rhombohedral {3,4,6} 10 (3,3)
Full image sqc2842 R-3m 166 rhombohedral {3,4,6} 10 (3,3)

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 UQC3276 *2626 (3,3,2) {3,4,6} {6.10.10}{10.10.10.10}{10.10.10.... Snet sqc2597 Snet sqc2596 Snet sqc2842
Tiling details UQC3277 *2626 (3,3,2) {3,4,6} {6.10.10}{10.10.10.10}{10.10.10.... Snet sqc2842 Snet sqc2598 Snet sqc2597

Symmetry-lowered hyperbolic tilings