h-net: hqc1157


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,8,4}
2D vertex symbol {3.6.6.3}{3.6.3.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Delaney-Dress Symbol <1157.2:9:1 3 5 7 9,2 3 6 5 8 9,1 4 5 6 7 8 9:3 6,4 4 8 4>
Dual net hqc958

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 sqc8514 I41/a 88 tetragonal {4,4,8,4} 16 (4,5)
Full image sqc8517 I-42d 122 tetragonal {4,4,8,4} 16 (4,5)
Full image sqc2543 P-42m 111 tetragonal {4,4,8,4} 8 (4,4)
Full image sqc8576 I41/amd 141 tetragonal {4,4,8,4} 16 (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 UQC4303 *2244b (4,4,2) {4,4,8,4} {3.6.6.3}{3.6.3.6}{6.6.6.6.6.6.6... Snet sqc1506 Snet sqc8514 Snet sqc8576
Tiling details UQC4304 *2244a (4,4,2) {4,4,8,4} {3.6.6.3}{3.6.3.6}{6.6.6.6.6.6.6... No s‑net Snet sqc8517 Snet sqc2543

Symmetry-lowered hyperbolic tilings