h-net: hqc327


Topological data

Orbifold symbol2*44
Transitivity (vertex, edge, ring)(3,3,1)
Vertex degrees{4,8,3}
2D vertex symbol {6.6.6.6}{6.6.6.6.6.6.6.6}{6.6.6}
Vertex coordination sequence [(4, 28, 64, 280, 744, 2924, 8516, 31088, 95516), (8, 20, 92, 240, 956, 2756, 10144, 30976, 108992), (3, 11, 33, 122, 377, 1313, 4175, 14240, 46037)]
Delaney-Dress Symbol <327.1:6:2 4 6,1 3 5 6,1 2 3 4 6:6,4 8 3>
Dual net hqc202

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 sqc896 I-4m2 119 tetragonal {3,8,4} 6 (3,3)
Full image sqc4940 I-4c2 120 tetragonal {4,8,3} 12 (3,4)
Full image sqc4950 I-4c2 120 tetragonal {4,8,3} 12 (3,4)
Full image sqc4953 I41/amd 141 tetragonal {4,8,3} 12 (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 UQC5851 *4444 (6,5,2) {4,8,3,3,8,4} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.6.6... Snet sqc296 Snet sqc4940 No s‑net
Tiling details UQC5852 *4444 (6,5,2) {4,8,3,3,8,4} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.6.6... Snet sqc896 Snet sqc4950 Snet sqc4953

Symmetry-lowered hyperbolic tilings