h-net: hqc556


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,12,4}
2D vertex symbol {5.4.5}{5.5.4.5.5.4.5.5.4.5.5.4}{5.5.5.5}
Delaney-Dress Symbol <556.2:7:1 3 5 7,2 6 4 5 7,1 4 5 6 7:5 4,3 12 4>
Dual net hqc424

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 sqc6372 I41/a 88 tetragonal {3,12,4} 12 (3,4)
Full image sqc6373 I-42d 122 tetragonal {3,12,4} 12 (3,4)
Full image sqc1285 P-42m 111 tetragonal {3,12,4} 6 (3,3)
Full image sqc6420 I41/amd 141 tetragonal {3,12,4} 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 UQC3487 *2244b (3,3,2) {3,12,4} {5.4.5}{5.5.4.5.5.4.5.5.4.5.5.4}... Snet sqc593 Snet sqc6372 Snet sqc6420
Tiling details UQC3488 *2244a (3,3,2) {3,12,4} {5.4.5}{5.5.4.5.5.4.5.5.4.5.5.4}... No s‑net Snet sqc6373 Snet sqc1285

Symmetry-lowered hyperbolic tilings