h-net: hqc256


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,8,4}
2D vertex symbol {4.20.20}{20.20.20.20.20.20.20.20}{20.20.20.20}
Vertex coordination sequence [(3, 10, 33, 136, 453, 1620, 5475, 19302, 66759), (8, 20, 96, 264, 1072, 3372, 12528, 42024), (4, 28, 68, 300, 852, 3388, 10932, 39948, 135300)]
Delaney-Dress Symbol <256.2:6:1 2 4 6,1 3 5 6,2 3 4 5 6:4 20,3 8 4>
Dual net hqc192

Derived s-nets

s-nets with faithful topology

4 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 sqc871 I-4m2 119 tetragonal {3,8,4} 6 (3,3)
Full image sqc872 I-4m2 119 tetragonal {3,8,4} 6 (3,3)
Full image sqc896 I-4m2 119 tetragonal {3,8,4} 6 (3,3)

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 UQC3272 *4444 (3,3,2) {3,8,4} {4.20.20}{20.20.20.20.20.20.20.2... No s‑net Snet sqc871 Snet sqc872
Tiling details UQC3273 *4444 (3,3,2) {3,8,4} {4.20.20}{20.20.20.20.20.20.20.2... Snet sqc294 Snet sqc871 Snet sqc896

Symmetry-lowered hyperbolic tilings