h-net: hqc768


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{3,16,4}
2D vertex symbol {5.3.5}{5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3}{5.5.5.5}
Delaney-Dress Symbol <768.2:8:1 3 5 6 8,2 7 4 6 8,1 4 5 6 7 8:5 3,3 16 4>
Dual net hqc743

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 sqc7502 I41/a 88 tetragonal {3,16,4} 12 (3,5)
Full image sqc7503 I-42d 122 tetragonal {3,16,4} 12 (3,5)
Full image sqc1839 P-42m 111 tetragonal {16,4,3} 6 (3,4)
Full image sqc7517 I41/amd 141 tetragonal {3,16,4} 12 (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 UQC3574 *2244a (3,4,2) {3,16,4} {5.3.5}{5.5.3.3.5.5.3.3.5.5.3.3.... No s‑net Snet sqc7503 Snet sqc1839
Tiling details UQC3575 *2244b (3,4,2) {3,16,4} {5.3.5}{5.5.3.3.5.5.3.3.5.5.3.3.... Snet sqc986 Snet sqc7502 Snet sqc7517

Symmetry-lowered hyperbolic tilings