h-net: hqc1610


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,16,3,8}
2D vertex symbol {16.16.16.16}{16.3.3.16.16.3.3.16.16.3.3.16.16.3.3.16}{16.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 60, 116, 1164, 2340, 24732, 49428), (16, 32, 336, 672, 7056, 14112, 148176), (3, 31, 80, 648, 1776, 13512, 37008, 284038), (8, 52, 108, 1188, 2364, 24660, 49356)]
Delaney-Dress Symbol <1610.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:16 3,4 16 3 8>
Dual net hqc1385

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 sqc3314 I-4m2 119 tetragonal {4,16,3,8} 7 (4,4)
Full image sqc3301 I-4m2 119 tetragonal {4,16,3,8} 7 (4,4)
Full image sqc3311 I-4m2 119 tetragonal {4,16,3,8} 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 UQC4766 *4444 (4,4,2) {4,16,3,8} {16.16.16.16}{16.3.3.16.16.3.3.1... No s‑net Snet sqc3314 Snet sqc3311
Tiling details UQC4767 *4444 (4,4,2) {4,16,3,8} {16.16.16.16}{16.3.3.16.16.3.3.1... Snet sqc2219 Snet sqc3314 Snet sqc3301

Symmetry-lowered hyperbolic tilings