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 = 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 = 5.47908+
Found by Joshua Wolk in September 2026. 		           15.

s = 5.61041+
Found by Joshua Wolk in September 2026.

16.

s = 5.75697+
Found by Joshua Wolk
in September 2026. 		           17.

s = 5.92559+
Found by Joshua Wolk in September 2026. 		           18.

s = 6.08307+
Found by Joshua Wolk
in September 2026.

19.

s = 6.32069+
Found by Joshua Wolk in September 2026. 		           20.

s = 6.41569+
Found by Joshua Wolk in September 2026. 		           21.

s = 6.57970+
Found by Joshua Wolk
in September 2026.

22.

s = 6.68587+
Found by Joshua Wolk
in September 2026. 		           23.

s = 6.85289+
Found by Joshua Wolk
in September 2026. 		           24.

s = 6.99378+
Found by Joshua Wolk in September 2026.

25.

s = 7.13312+
Found by Joshua Wolk
in September 2026. 		           26.

s = 7.30312+
Found by Joshua Wolk in September 2026. 		           27.

s = 7.44419+
Found by Yanis Gomes
in October 2026.

28.

s = 7.57477+
Found by Yanis Gomes
in October 2026. 		           29.

s = 7.62889+
Found by Joshua Wolk
in September 2026. 		           30.

s = 7.80160+
Found by Joshua Wolk
in September 2026.

31.

s = 7.90723+
Found by Joshua Wolk
in September 2026. 		           32.

s = 7.98283+
Found by Aapo Lipponen
in October 2026. 		           33.

s = 8.15331+
Found by Yanis Gomes
in October 2026.

34.

s = 8.29243+
Found by Joshua Wolk
in September 2026. 		           35.

s = 8.41569+
Found by Joshua Wolk
in September 2026. 		           36.

s = 8.51445+
Found by Joshua Wolk
in September 2026.

37.

s = 8.60058+
Found by Joshua Wolk
in September 2026. 		           38.

s = 8.70148+
Found by Joshua Wolk
in September 2026. 		           39.

s = 8.78666+
Found by Joshua Wolk
in September 2026.

40.

s = 8.92088+
Found by Joshua Wolk
in September 2026. 		           41.

s = 9.04183+
Found by Joshua Wolk
in September 2026. 		           42.

s = 9.18067+
Found by Joshua Wolk
in September 2026.

43.

s = 9.29996+
Found by Yanis Gomes
in October 2026. 		           44.

s = 2+√5+7√(5–2√5) = 9.32186+
Found by Yanis Gomes
in October 2026. 		           45.

s = 5+√5+3√(5–2√5) = 9.41569+
Found by Yanis Gomes
in October 2026.

46.

s = 9.47038+
Found by Yanis Gomes
in October 2026. 		           47.

s = 9.61503+
Found by Yanis Gomes
in October 2026. 		           48.

s = 9.75520+
Found by Joshua Wolk
in September 2026.

49.

s = 9.82991+
Found by Yanis Gomes
in October 2026. 		           50.

s = 9.90211+
Found by Joshua Wolk
in September 2026.