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 = 2.23606+
Trivial.
7.
8.
9.
r = 2.51459+
Found by Jonathan Viquerat
in May 2026.
r = 2.65850+
Found by Yanis Gomes
in October 2026.
r = 2.76860+
Found by Jonathan Viquerat
in May 2026.
10.
11.
12.
r = 2.93547+
Found by Joshua Wolk
in September 2026.
r = 3.08701+
Found by Jonathan Viquerat
in August 2026.
r = √10 = 3.16227+
Found by Maurizio Morandi
in May 2026.
13.
14.
15.
r = 3.27584+
Found by Joshua Wolk in September 2026.
r = 3.37252+
Found by Joshua Wolk in September 2026.
r = 3.48514+
Found by Aapo Lipponen
in October 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 = 3.77515+
Found by Joshua Wolk
in September 2026.
19.
20.
21.
r = 3.85676+
Found by Yanis Gomes
in October 2026.
r = 3.96669+
Found by Joshua Wolk
in September 2026.
r = 4.07666+
Found by Joshua Wolk
in September 2026.
22.
23.
24.
r = 4.12310+
Found by Joshua Wolk
in September 2026.
r = 4.19533+
Found by Yanis Gomes
in October 2026.
r = 4.27200+
Found by Jonathan Viquerat
in August 2026.
25.
26.
27.
r = 4.39150+
Found by Joshua Wolk
in September 2026.
r = 4.47213+
Found by Joshua Wolk
in September 2026.
r = 4.57608+
Found by Joshua Wolk
in September 2026.
28.
29.
30.
r = 4.62144+
Found by Joshua Wolk
in September 2026.
r = 4.69457+
Found by Joshua Wolk
in September 2026.
r = 4.76325+
Found by Joshua Wolk
in September 2026.
31.
32.
33.
r = 4.82244+
Found by Joshua Wolk
in September 2026.
r = 4.92443+
Found by Joshua Wolk
in September 2026.
r = 5.01036+
Found by Yanis Gomes
in October 2026.
34.
35.
36.
r = 5.06357+
Found by Joshua Wolk
in September 2026.
r = 5.12893+
Found by Joshua Wolk
in September 2026.
r = 5.17416+
Found by Joshua Wolk
in September 2026.
37.
38.
39.
r = 5.24663+
Found by Joshua Wolk
in September 2026.
r = 5.31712+
Found by Joshua Wolk
in September 2026.
r = 5.39564+
Found by Joshua Wolk
in September 2026.
40.
41.
42.
r = 5.47424+
Found by Yanis Gomes
in October 2026.
r = 5.53990+
Found by Yanis Gomes
in October 2026.
r = 5.58830+
Found by Joshua Wolk
in September 2026.
43.
44.
45.
r = 5.63788+
Found by Yanis Gomes
in October 2026.
r = 5.70087+
Found by Joshua Wolk
in September 2026.
r = 5.73703+
Found by Joshua Wolk
in September 2026.
46.
47.
48.
r = 5.77811+
Found by Joshua Wolk
in September 2026.
r = 5.86067+
Found by Joshua Wolk
in September 2026.
r = 5.94321+
Found by Yanis Gomes
in October 2026.
49.
50.
r = 6.02440+
Found by Joshua Wolk
in September 2026.
r = 6.07141+
Found by Joshua Wolk
in September 2026.