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.


5.

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 = 5.82002+
Found by Haowei Lin
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.

18.

s = 6.25520+
Found by Vasily (Kotomord) Stolbov
in September 2026.
           19.

s = 6.39746+
Found by Joshua Wolk
in September 2026.
           20.

s = 6.51020+
Found by Joshua Wolk
in September 2026.

21.

s = 6.63316+
Found by Joshua Wolk
in September 2026.
           22.

s = 6.71979+
Found by Joshua Wolk
in September 2026.
           23.

s = 6.86855+
Found by Joshua Wolk
in September 2026.

24.

s = 7.00111+
Found by Joshua Wolk
in September 2026.
           25.

s = 7.13909+
Found by Joshua Wolk
in September 2026.
           26.-27.

s = 3 + 3√2 = 7.24264+
Found by Joshua Wolk
in September 2026.

28.

s = 7.67360+
Found by Joshua Wolk
in September 2026.
           29.

s = 7.80858+
Found by Joshua Wolk
in September 2026.
           30.

s = 7.90931+
Found by Joshua Wolk
in September 2026.

31.

s = 8.04264+
Found by Joshua Wolk
in September 2026.
           32.

s = 8.19030+
Found by Joshua Wolk
in September 2026.
           33.

s = 8.30128+
Found by Joshua Wolk
in September 2026.

34.

s = 8.40134+
Found by Joshua Wolk
in September 2026.
           35.

s = 8.49650+
Found by Joshua Wolk
in September 2026.
           36.

s = 8.60297+
Found by Joshua Wolk
in September 2026.

37.

s = 8.69283+
Found by Joshua Wolk
in September 2026.
           38.

s = 8.77541+
Found by Joshua Wolk
in September 2026.
           39.

s = 8.84087+
Found by Joshua Wolk
in September 2026.

40.

s = 8.96390+
Found by Joshua Wolk
in September 2026.
           41.

s = 9.02962+
Found by Joshua Wolk
in September 2026.
           42.

s = 9.13440+
Found by Joshua Wolk
in September 2026.

43.

s = 9.22307+
Found by Joshua Wolk
in September 2026.
           44.

s = 9.33610+
Found by Joshua Wolk
in September 2026.
           45.

s = 9.42855+
Found by Joshua Wolk
in September 2026.

46.

s = 9.55330+
Found by Joshua Wolk
in September 2026.
           47.-48.

s = 4 + 4√2 = 9.65685+
Found by Joshua Wolk
in September 2026.
           49.

s = 9.93511+
Found by Joshua Wolk
in September 2026.

50.

s = 10.04737+
Found by Joshua Wolk
in September 2026.