h-net: hqc1240


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,3,8,4}
2D vertex symbol {7.4.7}{7.7.4}{7.7.7.7.7.7.7.7}{7.7.7.7}
Delaney-Dress Symbol <1240.2:9:1 3 5 7 9,2 6 4 5 8 9,1 4 5 6 7 8 9:7 4,3 3 8 4>
Dual net hqc953

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 sqc8520 I41/a 88 tetragonal {3,3,8,4} 20 (4,5)
Full image sqc8521 I-42d 122 tetragonal {3,3,8,4} 20 (4,5)
Full image sqc2567 P-42m 111 tetragonal {3,8,3,4} 10 (4,4)
Full image sqc8577 I41/amd 141 tetragonal {3,3,8,4} 20 (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 UQC4388 *2244b (4,4,2) {3,3,8,4} {7.4.7}{7.7.4}{7.7.7.7.7.7.7.7}{... Snet sqc1509 Snet sqc8520 Snet sqc8577
Tiling details UQC4389 *2244a (4,4,2) {3,3,8,4} {7.4.7}{7.7.4}{7.7.7.7.7.7.7.7}{... No s‑net Snet sqc8521 Snet sqc2567

Symmetry-lowered hyperbolic tilings