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 = 3.41569+
Found by Jake Loyd
in June 2026. 		           6.

s = 3.74743+
Found by Jake Loyd
in June 2026.

7.

s = 3.96756+
Found by Jake Loyd
in June 2026. 		           8.

s = 4.25642+
Found by Jake Loyd
in June 2026. 		           9.

s = 4.50713+
Found by Jake Loyd
in June 2026.

10.

s = 3√5–3+3√(1–2/√5) = 4.65767+
Found by Jake Loyd
in June 2026. 		           11.

s = 4.86103+
Found by Jake Loyd
in June 2026. 		           12.

s = 5.07519+
Found by Jake Loyd
in June 2026.

13.

s = 5.29475+
Found by Jake Loyd
in June 2026. 		           14.

s = 5.49989+
Found by Jake Loyd
in June 2026. 		           15.

s = 5.63035+
Found by Jake Loyd
in June 2026.

16.

s = 5.77738+
Found by Jake Loyd
in June 2026. 		           17.

s = 5.92697+
Found by Jake Loyd
in June 2026. 		           18.

s = 6.16318+
Found by Jake Loyd
in June 2026.

19.

s = 6.33939+
Found by Jake Loyd
in June 2026. 		           20.

s = 6.45886+
Found by Jake Loyd
in June 2026. 		           21.

s = 7.18193+
Found by Aapo Lipponen
in July 2026.

22.

s = 7.16104+
Found by Aapo Lipponen
in July 2026. 		           23.

s = 7.30507+
Found by Aapo Lipponen
in July 2026. 		           24.

s = 7.33685+
Found by Aapo Lipponen
in July 2026.

25.

s = 7.56043+
Found by Aapo Lipponen
in July 2026. 		           26.

s = 7.76538+
Found by Aapo Lipponen
in July 2026. 		           27.

s = 7.84756+
Found by Aapo Lipponen
in July 2026.

28.

s = 8.00543+
Found by Aapo Lipponen
in July 2026. 		           29.

s = 8.20516+
Found by Aapo Lipponen
in July 2026. 		           30.

s = 8.36962+
Found by Aapo Lipponen
in July 2026.