h-net: hqc2070


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,16,3,4,4}
2D vertex symbol {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol <2070.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,4 16 3 4 4>
Dual net hqc1936

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 sqc10732 I41/a 88 tetragonal {4,16,3,4,4} 20 (5,6)
Full image sqc10733 I-42d 122 tetragonal {4,16,3,4,4} 20 (5,6)
Full image sqc10752 I41/amd 141 tetragonal {4,16,3,4,4} 20 (5,5)

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 UQC5428 *2244b (5,5,2) {4,16,3,4,4} {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.... Snet sqc3923 Snet sqc10732 Snet sqc10752
Tiling details UQC5429 *2244a (5,5,2) {4,16,3,4,4} {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.... No s‑net Snet sqc10733 No s‑net

Symmetry-lowered hyperbolic tilings