h-net: hqc791


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{18,3,12}
2D vertex symbol {3.5.3.3.5.3.3.5.3.3.5.3.3.5.3.3.5.3}{3.5.5}{5.5.5.5.5.5.5.5.5.5.5.5}
Vertex coordination sequence [(18, 102, 618, 3732, 23310, 146418), (3, 42, 243, 1540, 9565, 60350), (12, 78, 552, 3588, 23040, 145962)]
Delaney-Dress Symbol <791.2:8:1 3 5 7 8,2 3 4 6 8,1 4 5 6 7 8:3 5,18 3 12>
Dual net hqc638

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 sqc4760 R-3m 166 rhombohedral {18,3,12} 8 (3,4)
Full image sqc4739 R-3m 166 rhombohedral {18,3,12} 8 (3,5)
Full image sqc4767 R-3m 166 rhombohedral {18,3,12} 8 (3,5)
Full image sqc4768 R-3m 166 rhombohedral {18,3,12} 8 (3,4)

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 UQC3618 *2626 (3,4,2) {18,3,12} {3.5.3.3.5.3.3.5.3.3.5.3.3.5.3.3... Snet sqc4760 Snet sqc4739 Snet sqc4768
Tiling details UQC3619 *2626 (3,4,2) {18,3,12} {3.5.3.3.5.3.3.5.3.3.5.3.3.5.3.3... Snet sqc4768 Snet sqc4767 Snet sqc4760

Symmetry-lowered hyperbolic tilings