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) = 1.71573+
Found by Jonathan Viquerat
in May 2026.

4.
           5.
           6.
s = 3(2–√2) = 1.75736+
Found by Jonathan Viquerat
in May 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 = 11(3√2–4) = 2.66904+
Found by Maurizio Morandi
in May 2026.

10.
           11.
           12.
s = 2(11–√2)/7 = 2.73879+
Found by Maurizio Morandi
in May 2026. 		s = 7(√2–1) = 2.89949+
Found by Maurizio Morandi
in May 2026. 		s = 5(2–√2) = 2.92893+
Found by Maurizio Morandi
in May 2026.

13.
           14.
           15.
s = 13(3√2–4) = 3.15432+
Found by Maurizio Morandi
in May 2026. 		s = 8(√2–1) = 3.31370+
Found by Maurizio Morandi
in May 2026. 		s = 25(8–5√2)/7 = 3.31761+
Found by Maurizio Morandi
in May 2026.

16.
           17.
           18.
s = 20(3–2√2) = 3.43145+
Found by Maurizio Morandi
in May 2026. 		s = 6(2–√2) = 3.51471+
Found by Maurizio Morandi
in May 2026. 		s = 25(2–√2)/4 = 3.66116+
Found by Maurizio Morandi
in May 2026.

19.
           20.
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.