h-net: hqc512


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{12,3,4}
2D vertex symbol {6.4.6.6.4.6.6.4.6.6.4.6}{6.4.4}{4.4.4.4}
Delaney-Dress Symbol <512.2:7:1 3 5 7,2 3 4 6 7,1 4 5 6 7:6 4,12 3 4>
Dual net hqc391

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 sqc6463 I41/amd 141 tetragonal {12,3,4} 12 (3,3)
Full image sqc1269 P-42m 111 tetragonal {3,12,4} 6 (3,3)
Full image sqc6390 I41/amd 141 tetragonal {12,3,4} 12 (3,3)

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 UQC3401 *2244a (3,3,2) {12,3,4} {6.4.6.6.4.6.6.4.6.6.4.6}{6.4.4}... Snet sqc1016 Snet sqc6463 Snet sqc1269
Tiling details UQC3402 *2244b (3,3,2) {12,3,4} {6.4.6.6.4.6.6.4.6.6.4.6}{6.4.4}... No s‑net Snet sqc6463 Snet sqc6390

Symmetry-lowered hyperbolic tilings