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 = 8.15470+
Found by Jonathan Viquerat
in May 2026. 		s = 8.68219+
Found by Joshua Wolk
in September 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 = 10.21346+
Found by Joshua Wolk
in September 2026.

13.
           14.
           15.
s = 10.57224+
Found by Joshua Wolk
in September 2026. 		s = 7 + 7/√3 = 11.04145+
Found by Maurizio Morandi
in May 2026. 		s = 11.23760+
Found by Joshua Wolk
in September 2026.

16.
           17.
           18.
s = 11.61625+
Found by Joshua Wolk
in September 2026. 		s = 12.04145+
Found by Joshua Wolk
in September 2026. 		s = 12.33290+
Found by Joshua Wolk
in September 2026.

19.
           20.
           21.
s = 12.61872+
Found by Joshua Wolk
in September 2026. 		s = 12.88164+
Found by Joshua Wolk
in September 2026. 		s = 13.23760+
Found by Joshua Wolk
in September 2026.

22.
           23.
           24.
s = 13.49751+
Found by Joshua Wolk
in September 2026. 		s = 13.77350+
Found by Joshua Wolk
in September 2026. 		s = 10 + 7/√3 = 14.04145+
Found by Yanis Gomes
in October 2026.

25.
           26.
           27.
s = 14.37158+
Found by Joshua Wolk
in September 2026. 		s = 14.66025+
Found by Joshua Wolk
in September 2026. 		s = (14 + 9√3)/2 = 14.79422+
Found by Yanis Gomes
in October 2026.

28.
           29.
           30.
s = 7 + 14/√3 = 15.08290+
Found by Maurizio Morandi
in October 2026. 		s = 15.46410+
Found by Joshua Wolk
in September 2026. 		s = 4 + 20/√3 = 15.54700+
Found by Yanis Gomes
in October 2026.

31.
           32.
           33.
s = 15.92820+
Found by Joshua Wolk
in September 2026. 		s = 16.19615+
Found by Joshua Wolk
in September 2026. 		s = (21+16√3)/3 = 16.23760+
Found by Yanis Gomes
in October 2026.

34.
           35.
           36.
s = 13 + 2√3 = 16.46410+
Found by Maurizio Morandi
in October 2026. 		s = 4 + 22/√3 = 16.70170+
Found by Maurizio Morandi
in October 2026. 		s = 17.04145+
Found by Joshua Wolk
in September 2026.

37.
           38.
           39.
s = 16 + 2/√3 = 17.15470+
Found by Maurizio Morandi
in October 2026. 		s = 7 + 6√3 = 17.39230+
Found by Maurizio Morandi
in October 2026. 		s = 17.61701+
Found by Yanis Gomes
in October 2026.

40.
           41.
           42.
s = 4 + 8√3 = 17.85640+
Found by Maurizio Morandi
in October 2026. 		s = 14 + 7/√3 = 18.04145+
Found by Maurizio Morandi
in October 2026. 		s = 5 + 23/√3 = 18.27905+
Found by Yanis Gomes
in October 2026.

43.
           44.
           45.
s = 18.50555+
Found by Aapo Lipponen
in October 2026. 		s = 17 + √3 = 18.73205+
Found by Maurizio Morandi
in October 2026. 		s = 18.96966+
Found by Joshua Wolk
in September 2026.

46.
           47.
           48.
s = 4 + 26/√3 = 19.01110+
Found by Maurizio Morandi
in October 2026. 		s = 19.35086+
Found by Joshua Wolk
in September 2026. 		s = 19.52699+
Found by Joshua Wolk
in September 2026.

49.
           50.
s = 19.65402+
Found by Yanis Gomes
in October 2026. 		s = 19.89231+
Found by Joshua Wolk
in September 2026.