The following pictures show n dominoes (with short side 1) packed inside the smallest known circle (with radius r).
1.
2.
3.
r = √5/2 = 1.11803+
Trivial.
r = √2 = 1.41421+
Trivial.
r = √13/2 = 1.80277+
Trivial.
4.
5.
6.
r = 1.97949+
Found by Jonathan Viquerat
in May 2026
r = 2.18039+
Found by Jonathan Viquerat
in May 2026.
r = √5 = 2.23607+
Trivial.
7.
8.
9.
r = 2.51459+
Found by Jonathan Viquerat
in May 2026.
r = 2.65851+
Found by Jonathan Viquerat
in May 2026.
r = 2.76860+
Found by Jonathan Viquerat
in May 2026.
10.
11.
12.
r = 2.93566+
Found by Jonathan Viquerat
in May 2026.
r = 3.08826+
Found by Jonathan Viquerat
in May 2026.
r = √10 = 3.16227+
Found by Maurizio Morandi
in May 2026.
13.
14.
15.
r = 3.27852+
Found by Jonathan Viquerat
in May 2026.
r = 3.37689+
Found by Jonathan Viquerat
in May 2026.
r = 3.48515+
Found by Jonathan Viquerat
in May 2026.
16.
17.
18.
r = √13 = 3.60555+
Found by Jonathan Viquerat
in May 2026.
r = √53/2 = 3.64005+
Found by Maurizio Morandi
in May 2026.
r = 3.78121+
Found by Jonathan Viquerat
in May 2026.
19.
20.
r = 3.89344+
Found by Jonathan Viquerat
in May 2026.
r = 3.99407+
Found by Jonathan Viquerat
in May 2026.