h-net: hqc166


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{3,8}
2D vertex symbol {6.8.6}{6.8.6.8.6.8.6.8}
Delaney-Dress Symbol <166.2:5:1 3 5,2 3 4 5,1 4 5:6 8,3 8>
Dual net hqc157

Derived s-nets

s-nets with faithful topology

6 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 sqc517 cut P4/mmm 123 tetragonal {3,8} 5 (2,2)
Full image sqc3362 I-42d 122 tetragonal {3,8} 10 (2,3)
Full image sqc3369 I41/a 88 tetragonal {3,8} 10 (2,3)
Full image sqc3520 I41/amd 141 tetragonal {3,8} 10 (2,2)
Full image sqc14625 P4/mmm 123 tetragonal {8,3} 5 (2,2)

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 UQC181 *2244b (2,2,2) {3,8} {6.8.6}{6.8.6.8.6.8.6.8} Snet sqc517 Snet sqc3369 Snet sqc3520
Tiling details UQC182 *2244a (2,2,2) {3,8} {6.8.6}{6.8.6.8.6.8.6.8} No s‑net Snet sqc3362 Snet sqc14625

Symmetry-lowered hyperbolic tilings