L's in Pentagons
The following pictures show n L's with short side 1 inside the smallest known pentagon (of side s).

1.

s = 1.81089+
Trivial.
  		           2.

s = 2.33322+
Trivial.
  		           3.

s = 2.79081+
Found by Jonathan Viquerat
in May 2026.

4.

s = 3.07149+
Found by Jonathan Viquerat
in May 2026. 		           5.

s = 3.50704+
Found by Jonathan Viquerat
in May 2026. 		           6.

s = 3.80457+
Found by Jonathan Viquerat
in May 2026.

7.

s = = 3.98893+
Found by Jonathan Viquerat
in May 2026. 		           8.

s = 4.29193+
Found by Jonathan Viquerat
in May 2026. 		           9.

s = 4.55142+
Found by Jonathan Viquerat
in May 2026.

10.

s = = 4.75272+
Found by Jonathan Viquerat
in May 2026. 		           11.

s = 4.93592+
Found by Jonathan Viquerat
in May 2026. 		           12.

s = 5.20318+
Found by Jonathan Viquerat
in May 2026.

13.

s = = 5.42816+
Found by Jonathan Viquerat
in May 2026. 		           14.

s = 5.59996+
Found by Jonathan Viquerat
in May 2026. 		           15.

s = 5.82042+
Found by Jonathan Viquerat
in May 2026.

16.

s = = 5.99786+
Found by Jonathan Viquerat
in May 2026. 		           17.

s = 6.18086+
Found by Jonathan Viquerat
in May 2026. 		           18.

s = 6.37761+
Found by Jonathan Viquerat
in May 2026.

19.

s = = 6.60163+
Found by Jonathan Viquerat
in May 2026. 		           20.

s = 6.72387+
Found by Jonathan Viquerat
in May 2026.