h-net: hqc17


Topological data

Orbifold symbol*23(18)
Transitivity (vertex, edge, ring)(1,1,1)
Vertex degrees{3}
2D vertex symbol {18.18.18}
Vertex coordination sequence [(3, 6, 12, 24, 48, 96, 192, 384, 765, 1524)]
Delaney-Dress Symbol <17.1:1:1,1,1:18,3>
Dual net hqc3

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 sqc328 pcu-h R-3m 166 rhombohedral {3} 6 (1,2)
Full image sqc3054 wiw R-3c 167 rhombohedral {3} 12 (1,3)
Full image sqc3055 etf R-3c 167 rhombohedral {3} 12 (1,3)
Full image sqc327 etb R-3m 166 rhombohedral {3} 6 (1,2)

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 UQC274 *2626 (2,3,2) {3,3} {18.18.18}{18.18.18} Snet sqc328 Snet sqc3054 Snet sqc327
Tiling details UQC275 *2626 (2,3,2) {3,3} {18.18.18}{18.18.18} Snet sqc327 Snet sqc3055 Snet sqc328

Symmetry-lowered hyperbolic tilings