L's in Octagons

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

1.
           2.
           3.
s = 2/√(2+√2) = 1.08239+
Trivial.
  		s = √(5–√2–√(8√2–9)) = 1.43690+
Found by Jonathan Viquerat
in May 2026. 		s = 10(3–2√2) = 1.71572+
Found by Aapo Lipponen
in July 2026.

4.
           5.
           6.
s = 3(2–√2) = 1.75735+
Found by Aapo Lipponen
in July 2026 		s = 5/(1+√2) = 2.07106+
Found by Jonathan Viquerat
in May 2026 		s = 13(3–2√2) = 2.23044+
Found by Jonathan Viquerat
in May 2026.

7.
           8.
           9.
s = 4(2–√2) = 2.34314+
Found by Maurizio Morandi
in May 2026. 		s = 6(√2–1) = 2.48528+
Found by Maurizio Morandi
in May 2026. 		s = 2.65930+
Found by Joshua Wolk
in September 2026.

10.
           11.
           12.
s = 2(11–√2)/7 = 2.73879+
Found by Maurizio Morandi
in May 2026. 		s = 2.89907+
Found by Yanis Gomes
in October 2026. 		s = 5(2–√2) = 2.92893+
Found by Maurizio Morandi
in May 2026.

13.
           14.
           15.
s = 3.13315+
Found by Joshua Wolk
in September 2026. 		s = 3.26541+
Found by Joshua Wolk
in September 2026. 		s = 25(8–5√2)/7 = 3.31761+
Found by Maurizio Morandi
in May 2026.

16.
           17.
           18.
s = 3.42934+
Found by Joshua Wolk in September 2026. 		s = 6(2–√2) = 3.51471+
Found by Maurizio Morandi
in May 2026. 		s = 3.63604+
Found by Joshua Wolk in September 2026.

19.
           20.
           21.
s = 9(√2–1) = 3.72792+
Found by Maurizio Morandi
in May 2026. 		s = 22(3–2√2) = 3.77460+
Found by Maurizio Morandi
in May 2026. 		s = 18–10√2 = 3.85786+
Found by Maurizio Morandi
in September 2026.

22.
           23.
           24.-25.
s = 27(2–√2)/4 = 3.95405+
Found by Maurizio Morandi
in July 2026. 		s = 7(2–√2) = 4.10050+
Found by Maurizio Morandi
in July 2026. 		s = 10(√2–1) = 4.14213+
Found by Maurizio Morandi
in July 2026.

26.
           27.
           28.
s = 4.28118+
Found by Yanis Gomes
in October 2026. 		s = 15(1–1/√2) = 4.39339+
Found by Maurizio Morandi
in July 2026. 		s = 4.49556+
Found by Joshua Wolk
in September 2026.

29.-30.
           31.
           32.
s = 11(√2–1) = 4.55634+
Found by Maurizio Morandi
in September 2026. 		s = 4.63246+
Found by Joshua Wolk
in September 2026. 		s = 4.68629+
Found by Joshua Wolk
in September 2026.

33.
           34.
           35.
s = 4.85040+
Found by Joshua Wolk
in September 2026. 		s = 4.93688+
Found by Joshua Wolk
in September 2026. 		s = 4.97056+
Found by Joshua Wolk
in September 2026.

36.
           37.
           38.
s = 4.97561+
Found by Joshua Wolk
in September 2026. 		s = 17–17√2/2 = 4.97918+
Found by Yanis Gomes
in October 2026. 		s = 5.14718+
Found by Joshua Wolk
in September 2026.

39-40.
           41.-43.
           44.
s = 9(2–√2) = 5.27207+
Found by Maurizio Morandi
in October 2026. 		s =13(radic;2–1) = 5.38477+
Found by Maurizio Morandi
in October 2026. 		s = 5.54179+
Found by Yanis Gomes
in October 2026.

45.
           46.
           47.
s = 5.58073+
Found by Joshua Wolk
in September 2026. 		s = 17–8√2 = 5.68629+
Found by Yanis Gomes
in October 2026. 		s = 5.78346+
Found by Yanis Gomes
in October 2026.

48.-49.
           50.
s = 5.79899+
Found by Joshua Wolk
in September 2026. 		s = 202/7–114√2/7 = 5.82566+
Found by Yanis Gomes
in October 2026.