h-net: hqc1536


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,12,8,8}
2D vertex symbol {8.4.4}{8.4.4.8.4.4.8.4.4.8.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(3, 27, 82, 665, 1989, 16128, 48219), (12, 36, 292, 872, 7068, 21132, 171348), (8, 28, 228, 684, 5552, 16600, 134592), (8, 64, 192, 1560, 4664, 37816, 113064)]
Delaney-Dress Symbol <1536.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:8 4,3 12 8 8>
Dual net hqc1306

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 sqc3303 I-4 82 tetragonal {3,12,8,8} 7 (4,5)
Full image sqc3335 I-4m2 119 tetragonal {3,12,8,8} 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 UQC4702 *4444 (4,4,2) {3,12,8,8} {8.4.4}{8.4.4.8.4.4.8.4.4.8.4.4}... Snet sqc2571 Snet sqc3303 No s‑net
Tiling details UQC4703 *4444 (4,4,2) {3,12,8,8} {8.4.4}{8.4.4.8.4.4.8.4.4.8.4.4}... Snet sqc2572 Snet sqc3303 Snet sqc3335

Symmetry-lowered hyperbolic tilings