h-net: hqc158


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{12,4}
2D vertex symbol {3.8.3.3.8.3.3.8.3.3.8.3}{3.8.3.8}
Delaney-Dress Symbol <158.2:5:1 3 5,2 3 4 5,1 4 5:3 8,12 4>
Dual net hqc170

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 sqc376 P4/mmm 123 tetragonal {12,4} 3 (2,2)
Full image sqc3440 I41/a 88 tetragonal {12,4} 6 (2,3)
Full image sqc3505 I-42d 122 tetragonal {12,4} 6 (2,3)
Full image sqc3332 I41/amd 141 tetragonal {12,4} 6 (2,2)

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 UQC161 *2244b (2,2,2) {12,4} {3.8.3.3.8.3.3.8.3.3.8.3}{3.8.3.8} Snet sqc376 Snet sqc3440 Snet sqc3332
Tiling details UQC162 *2244a (2,2,2) {12,4} {3.8.3.3.8.3.3.8.3.3.8.3}{3.8.3.8} No s‑net Snet sqc3505 Snet sqc376

Symmetry-lowered hyperbolic tilings