h-net: hqc1579


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,16,6,4}
2D vertex symbol {4.4.4.4}{4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4}{4.3.3.4.3.3}{3.3.3.3}
Delaney-Dress Symbol <1579.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,4 16 6 4>
Dual net hqc1367

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 sqc9413 I41/a 88 tetragonal {4,16,6,4} 12 (4,5)
Full image sqc9414 I-42d 122 tetragonal {4,16,6,4} 12 (4,5)
Full image sqc3341 P-42m 111 tetragonal {4,6,16,4} 6 (4,4)
Full image sqc9433 I41/amd 141 tetragonal {4,16,6,4} 12 (4,4)

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 UQC4723 *2244a (4,4,2) {4,16,6,4} {4.4.4.4}{4.3.3.4.4.3.3.4.4.3.3.... No s‑net Snet sqc9414 Snet sqc3341
Tiling details UQC4724 *2244b (4,4,2) {4,16,6,4} {4.4.4.4}{4.3.3.4.4.3.3.4.4.3.3.... Snet sqc2220 Snet sqc9413 Snet sqc9433

Symmetry-lowered hyperbolic tilings