h-net: hqc432


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{3,8,4}
2D vertex symbol {4.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Delaney-Dress Symbol <432.2:7:1 2 4 6 7,1 3 5 7,2 3 4 5 6 7:4 6,3 8 4>
Dual net hqc333

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 sqc6606 I-42d 122 tetragonal {3,8,4} 14 (3,4)
Full image sqc6774 I41/a 88 tetragonal {3,8,4} 14 (3,4)
Full image sqc1400 P-42m 111 tetragonal {4,8,3} 7 (3,4)
Full image sqc6775 I41/amd 141 tetragonal {3,8,4} 14 (3,4)

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 UQC3333 *2244b (3,4,2) {3,8,4} {4.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6} No s‑net Snet sqc6774 Snet sqc6775
Tiling details UQC3334 *2244a (3,4,2) {3,8,4} {4.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6} Snet sqc5993 Snet sqc6606 Snet sqc1400

Symmetry-lowered hyperbolic tilings