h-net: hqc1507


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{3,4,8,4}
2D vertex symbol {4.6.4}{4.4.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Delaney-Dress Symbol <1507.2:10:1 3 5 7 9 10,2 10 4 6 8 9,1 4 5 6 7 8 9 10:4 6,3 4 8 4>
Dual net hqc1338

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 sqc9415 I41/a 88 tetragonal {3,4,8,4} 20 (4,6)
Full image sqc9416 I-42d 122 tetragonal {3,4,8,4} 20 (4,6)
Full image sqc9442 I41/amd 141 tetragonal {3,4,8,4} 20 (4,5)
Full image sqc14641 P-42m 111 tetragonal {3,4,4,8} 10 (4,5)

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 UQC4669 *2244b (4,5,2) {3,4,8,4} {4.6.4}{4.4.6.6}{6.6.6.6.6.6.6.6... Snet sqc2242 Snet sqc9415 Snet sqc9442
Tiling details UQC4670 *2244a (4,5,2) {3,4,8,4} {4.6.4}{4.4.6.6}{6.6.6.6.6.6.6.6... No s‑net Snet sqc9416 Snet sqc14641

Symmetry-lowered hyperbolic tilings