h-net: hqc1933


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{4,16}
2D vertex symbol {4.4.3.4}{3.4.4.4.3.4.4.4.3.4.4.4.3.4.4.4}
Delaney-Dress Symbol <1933.2:12:1 2 3 4 5 7 9 10 11 12,2 4 6 7 10 11 12,3 10 5 8 9 12:4 4 3 4 4,4 16>
Dual net hqc2083

Derived s-nets

s-nets with faithful topology

3 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 sqc10694 I41/a 88 tetragonal {16,4,4} 18 (3,6)
Full image sqc10695 I-42d 122 tetragonal {16,4,4} 18 (3,6)
Full image sqc4742 P4/mmm 123 tetragonal {16,4} 9 (2,5)

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 UQC2575 *2244b (2,5,5) {16,4} {4.4.3.4}{3.4.4.4.3.4.4.4.3.4.4.... Snet sqc3925 Snet sqc10694 Snet sqc10115
Tiling details UQC2576 *2244a (2,5,5) {16,4} {4.4.3.4}{3.4.4.4.3.4.4.4.3.4.4.... No s‑net Snet sqc10695 Snet sqc4742

Symmetry-lowered hyperbolic tilings