h-net: hqc747


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,8,8,4}
2D vertex symbol {4.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7}
Vertex coordination sequence [(3, 10, 49, 212, 1009, 4638, 22025, 99998), (8, 36, 144, 728, 3248, 15788, 69744), (8, 40, 200, 872, 4304, 18888, 92672), (4, 28, 148, 708, 3044, 15092, 66376)]
Delaney-Dress Symbol <747.2:8:1 2 4 6 8,1 3 5 7 8,2 3 4 5 6 7 8:4 7,3 8 8 4>
Dual net hqc572

Derived s-nets

s-nets with faithful topology

3 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 sqc1823 I-4m2 119 tetragonal {3,8,8,4} 7 (4,4)
Full image sqc1821 I-4m2 119 tetragonal {3,8,8,4} 7 (4,4)
Full image sqc1837 I-4m2 119 tetragonal {3,8,8,4} 7 (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 UQC4172 *4444 (4,4,2) {3,8,8,4} {4.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7... No s‑net Snet sqc1823 Snet sqc1837
Tiling details UQC4173 *4444 (4,4,2) {3,8,8,4} {4.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7... Snet sqc1291 Snet sqc1823 Snet sqc1821

Symmetry-lowered hyperbolic tilings