h-net: hqc1680


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{6,5}
2D vertex symbol {4.8.3.3.3.8}{3.3.4.4.3}
Delaney-Dress Symbol <1680.2:11:1 2 3 4 6 8 9 10 11,1 3 5 6 7 9 11,2 4 7 8 10 11:4 8 3 3 4,6 5>
Dual net hqc1838

Derived s-nets

s-nets with faithful topology

5 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 sqc4105 P4/mmm 123 tetragonal {5,6} 8 (2,5)
Full image sqc10134 I41/a 88 tetragonal {5,6} 16 (2,6)
Full image sqc10284 I-42d 122 tetragonal {5,6} 16 (2,6)
Full image sqc10130 I41/amd 141 tetragonal {5,6} 16 (2,5)
Full image sqc14642 P4/mmm 123 tetragonal {6,5} 8 (2,5)

s-nets with edge collapse


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 UQC2457 *2244b (2,5,5) {6,5} {4.8.3.3.3.8}{3.3.4.4.3} Snet sqc4105 Snet sqc10134 Snet sqc10130
Tiling details UQC2458 *2244a (2,5,5) {6,5} {4.8.3.3.3.8}{3.3.4.4.3} No s‑net Snet sqc10284 Snet sqc14642

Symmetry-lowered hyperbolic tilings