h-net: hqc212


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,4,2)
Vertex degrees{4,12}
2D vertex symbol {12.4.4.12}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 18, 94, 496, 2618, 13816, 72922), (12, 72, 384, 2028, 10704, 56496)]
Delaney-Dress Symbol <212.2:6:1 2 3 5 6,2 4 6,1 3 4 5 6:12 4,4 12>
Dual net hqc212 (self dual)

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 sqc2322 R-3m 166 rhombohedral {4,12} 7 (2,4)
Full image sqc2294 R-3 148 rhombohedral {4,12} 7 (2,4)
Full image sqc2321 R-3 148 rhombohedral {4,12} 7 (2,4)
Full image sqc2307 R-3m 166 rhombohedral {4,12} 7 (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 UQC222 *2626 (2,4,2) {4,12} {12.4.4.12}{4.4.4.4.4.4.4.4.4.4.... Snet sqc2322 Snet sqc2321 Snet sqc2307
Tiling details UQC223 *2626 (2,4,2) {4,12} {12.4.4.12}{4.4.4.4.4.4.4.4.4.4.... Snet sqc2307 Snet sqc2294 Snet sqc2322

Symmetry-lowered hyperbolic tilings