Octagons in L's

The following pictures show n unit octagons packed inside the smallest known L (with short side s).


1.

s = 1+3√2/4 = 2.06066+
Trivial.
 
           2.-3.

s = 1+√2 = 2.41421+
Trivial.
 
           4.

s = 3/2+5√2/4 = 3.26776+
Found by Jonathan Viquerat
in June 2026.


6.

s = 3.55228+
Found by Jonathan Viquerat
in June 2026.
           6.

s = 3.88561+
Found by Jonathan Viquerat
in June 2026.
           7.

s = 2+3/√2 = 4.12132+
Found by Jonathan Viquerat
in June 2026.

8.

s = 4.36459+
Found by Jonathan Viquerat
in June 2026.
           9.

s = 4.46274+
Found by Jonathan Viquerat
in June 2026.
           10.

s = 4.69035+
Found by Jonathan Viquerat
in June 2026.

11.-12.

s = 2+2√2 = 4.82842+
Trivial.
 
           13.

s = 5.41620+
Found by Jonathan Viquerat
in June 2026.
           14.

s = 8/3+2√2 = 5.49509+
Found by Jonathan Viquerat
in June 2026.

15.

s = 5.82397 +
Found by Jonathan Viquerat
in June 2026.
           16.

s = 5.93197+
Found by Jonathan Viquerat
in June 2026.
           17.

s = 6.10747+
Found by Jonathan Viquerat
in June 2026.