The following pictures show n dominoes (with short side 1) packed inside the smallest known equilateral triangles (of side length s).
1.
2.
3.
s = 2+2/√3 = 3.15470+
Trivial.
s = 2+4/√3 = 4.30940+
Trivial.
s = 2+4/√3 = 4.30934+
Trivial.
4.
5.
6.
s = 5.38188+
Found by Jonathan Viquerat
in April 2026.
s = 2+2√3 = 5.46410+
Found by Jonathan Viquerat
in April 2026.
s = 4+4/√3 = 6.30940+
Found by Jonathan Viquerat
in April 2026.
7.
8.
9.
s = 6.61409+
Found by Jonathan Viquerat
in April 2026.
s = 6+2/√3 = 7.15470+
Found by Jonathan Viquerat
in April 2026.
s = 5+4/√3 = 7.30940+
Found by Jonathan Viquerat
in April 2026.
10.
11.
12.
s = 3+8/√3 = 7.61885+
Found by Jonathan Viquerat
in April 2026.
s = 7+2/√3 = 8.15470+
Found by Jonathan Viquerat
in April 2026.
s = 6+4/√3 = 8.30940+
Found by Jonathan Viquerat
in April 2026.
13.
14.
15.
s = 4+8/√3 = 8.61885+
Found by Jonathan Viquerat
in April 2026.
s = 3+10/√3 = 8.77350+
Found by Maurizio Morandi
in April 2026.
s = 7+4/√3 = 9.30940+
Found by Jonathan Viquerat
in April 2026.
16.
17.
18.
s = 6+2√3 = 9.46410+
Found by Maurizio Morandi
in April 2026.
s = 4+10/√3 = 9.77350+
Found by Jonathan Viquerat
in April 2026.
s = 3+4√3 = 9.92820+
Found by Jonathan Viquerat
in April 2026.
19.
20.
s = 8+4/√3 = 10.30940+
Found by Jonathan Viquerat
in April 2026.
s = 7+2√3 = 10.46410+
Found by Maurizio Morandi
in April 2026.