h-net: hqc837


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{3,16,4}
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}
Delaney-Dress Symbol <837.2:8:1 3 5 7 8,2 8 4 6 7,1 4 5 6 7 8:4 4,3 16 4>
Dual net hqc730

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 sqc7500 I41/a 88 tetragonal {3,16,4} 12 (3,5)
Full image sqc7501 I-42d 122 tetragonal {3,16,4} 12 (3,5)
Full image sqc7509 I41/amd 141 tetragonal {3,16,4} 12 (3,4)
Full image sqc14634 P-42m 111 tetragonal {3,16,4} 6 (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 UQC3807 *2244b (3,4,2) {3,16,4} {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4.... Snet sqc987 Snet sqc7500 Snet sqc7509
Tiling details UQC3808 *2244a (3,4,2) {3,16,4} {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4.... No s‑net Snet sqc7501 Snet sqc14634

Symmetry-lowered hyperbolic tilings