h-net: hqc409


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{4,18}
2D vertex symbol {6.6.3.6}{6.3.3.6.3.3.6.3.3.6.3.3.6.3.3.6.3.3}
Vertex coordination sequence [(18, 114, 636, 3846, 23610, 142980), (4, 37, 257, 1504, 8940, 54476)]
Delaney-Dress Symbol <409.2:7:1 2 4 6 7,1 3 4 5 7,2 5 6 7:6 6 3,4 18>
Dual net hqc522

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 sqc3949 R-3m 166 rhombohedral {18,4} 7 (2,3)
Full image sqc3947 R-3m 166 rhombohedral {18,4} 7 (2,4)
Full image sqc3948 R-3m 166 rhombohedral {18,4} 7 (2,4)
Full image sqc3906 R-3m 166 rhombohedral {18,4} 7 (2,3)

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 UQC621 *2626 (2,3,3) {4,18} {6.6.3.6}{6.3.3.6.3.3.6.3.3.6.3.... Snet sqc3949 Snet sqc3948 Snet sqc3906
Tiling details UQC622 *2626 (2,3,3) {4,18} {6.6.3.6}{6.3.3.6.3.3.6.3.3.6.3.... Snet sqc3906 Snet sqc3947 Snet sqc3949

Symmetry-lowered hyperbolic tilings