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 = 14.08290+
Found by Joshua Wolk
in September 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 = 14.81305+
Found by Joshua Wolk
in September 2026.
28.
29.
30.
s = 15.15470+
Found by Joshua Wolk
in September 2026.
s = 15.46410+
Found by Joshua Wolk
in September 2026.
s = 15.66026+
Found by Joshua Wolk
in September 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 = 16.35085+
Found by Joshua Wolk
in September 2026.
34.
35.
36.
s = 16.61178+
Found by Joshua Wolk
in September 2026.
s = 16.90489+
Found by Joshua Wolk
in September 2026.
s = 17.04145+
Found by Joshua Wolk
in September 2026.
37.
38.
39.
s = 17.23761+
Found by Joshua Wolk
in September 2026.
s = 17.50256+
Found by Joshua Wolk
in September 2026.
s = 17.65596+
Found by Joshua Wolk
in September 2026.
40.
41.
42.
s = 17.95924+
Found by Joshua Wolk
in September 2026.
s = 18.17543+
Found by Joshua Wolk
in September 2026.
s = 18.35086+
Found by Joshua Wolk
in September 2026.
43.
44.
45.
s = 18.50556+
Found by Joshua Wolk
in September 2026.
s = 18.80478+
Found by Joshua Wolk
in September 2026.
s = 18.96966+
Found by Joshua Wolk
in September 2026.
46.
47.
48.
s = 19.30368+
Found by Joshua Wolk
in September 2026.
s = 19.35086+
Found by Joshua Wolk
in September 2026.
s = 19.52699+
Found by Joshua Wolk
in September 2026.
49.
50.
s = 19.77351+
Found by Joshua Wolk
in September 2026.
s = 19.89231+
Found by Joshua Wolk
in September 2026.