L's in Triangles

The following pictures show L's (with short side 1) packed inside the smallest known equilateral triangle (with side s).

1.
2.
3.

s = 2√2 + √6/3 = 3.64492+
Trivial.
s = 4 + 2/√3 = 5.15470+
Trivial.
s = 3 + 3√3/2 = 5.59807+
Found by Jonathan Viquerat
in May 2026.

4.
5.
6.

s = 6.58646+
Found by Jonathan Viquerat
in May 2026. s = 6 + 2/√3 = 7.15470+
Found by Jonathan Viquerat
in May 2026. s = 4 + 2√3 = 7.46410+
Found by Maurizio Morandi
in May 2026.

7.
8.
9.

s = 7 + 2/√3 = 8.15469+
Found by Jonathan Viquerat
in May 2026. s = 7 + √3 = 8.73205+
Found by Jonathan Viquerat
in May 2026. s = 5 + 7/√3 = 9.04145+
Found by Maurizio Morandi
in May 2026.

10.
11.
12.

s = 6 + 2√3 = 9.46410+
Found by Maurizio Morandi
in May 2026. s = 4 + 10/√3 = 9.77350+
Found by Maurizio Morandi
in May 2026. s = 8 + 4/√3 = 10.30940+
Found by Maurizio Morandi
in May 2026.

13.
14.
15.

s = 9 + √3 = 10.73205+
Found by Maurizio Morandi
in May 2026. s = 10 + 2/√3 = 11.15470+
Found by Maurizio Morandi
in May 2026. s = 5 + 11/√3 = 11.35085+
Found by Maurizio Morandi
in May 2026.

16.
17.
18.

s = 10 + √3 = 11.73205+
Found by Maurizio Morandi
in May 2026. s = 4 + 14/√3 = 12.08290+
Found by Maurizio Morandi
in May 2026. s = 9 + 2√3 = 12.46410+
Found by Maurizio Morandi
in May 2026.

19.		20.
s = 11 + √3 = 12.73205+ Found by Maurizio Morandi in May 2026.		s = 9 + 7/√3 = 13.04145+ Found by Maurizio Morandi in May 2026.

1.		2.		3.
s = 2√2 + √6/3 = 3.64492+ Trivial.		s = 4 + 2/√3 = 5.15470+ Trivial.		s = 3 + 3√3/2 = 5.59807+ Found by Jonathan Viquerat in May 2026.

4.		5.		6.
s = 6.58646+ Found by Jonathan Viquerat in May 2026.		s = 6 + 2/√3 = 7.15470+ Found by Jonathan Viquerat in May 2026.		s = 4 + 2√3 = 7.46410+ Found by Maurizio Morandi in May 2026.

7.		8.		9.
s = 7 + 2/√3 = 8.15469+ Found by Jonathan Viquerat in May 2026.		s = 7 + √3 = 8.73205+ Found by Jonathan Viquerat in May 2026.		s = 5 + 7/√3 = 9.04145+ Found by Maurizio Morandi in May 2026.

10.		11.		12.
s = 6 + 2√3 = 9.46410+ Found by Maurizio Morandi in May 2026.		s = 4 + 10/√3 = 9.77350+ Found by Maurizio Morandi in May 2026.		s = 8 + 4/√3 = 10.30940+ Found by Maurizio Morandi in May 2026.

13.		14.		15.
s = 9 + √3 = 10.73205+ Found by Maurizio Morandi in May 2026.		s = 10 + 2/√3 = 11.15470+ Found by Maurizio Morandi in May 2026.		s = 5 + 11/√3 = 11.35085+ Found by Maurizio Morandi in May 2026.

16.		17.		18.
s = 10 + √3 = 11.73205+ Found by Maurizio Morandi in May 2026.		s = 4 + 14/√3 = 12.08290+ Found by Maurizio Morandi in May 2026.		s = 9 + 2√3 = 12.46410+ Found by Maurizio Morandi in May 2026.