h-net: hqc157


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{6,8}
2D vertex symbol {3.8.3.3.8.3}{3.8.3.8.3.8.3.8}
Delaney-Dress Symbol <157.2:5:1 3 5,2 3 4 5,1 4 5:3 8,6 8>
Dual net hqc166

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 sqc483 P4/mmm 123 tetragonal {8,6} 3 (2,2)
Full image sqc3372 I-42d 122 tetragonal {6,8} 6 (2,3)
Full image sqc3543 I41/a 88 tetragonal {6,8} 6 (2,3)
Full image sqc3517 I41/amd 141 tetragonal {6,8} 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 UQC159 *2244b (2,2,2) {6,8} {3.8.3.3.8.3}{3.8.3.8.3.8.3.8} Snet sqc483 Snet sqc3543 Snet sqc3517
Tiling details UQC160 *2244a (2,2,2) {6,8} {3.8.3.3.8.3}{3.8.3.8.3.8.3.8} No s‑net Snet sqc3372 Snet sqc483

Symmetry-lowered hyperbolic tilings