L's in Hexagons

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

1.

s = 2√((11 + 6√3)/39) = 1.481+
Trivial.
2.

s = 12^1/4 = 1.861+
Found by Maurizio Morandi
in May 2026. 3.

s = 1/2 + √3 = 2.232+
Found by Maurizio Morandi
in May 2026.

4.

s = 2.50337+
Found by Jake Loyd
in June 2026. 5.

s = 2.85988+
Found by Jake Loyd
in May 2026 6.

s = 3.04254+
Found by Jake Loyd
in June 2026.

7.

s = 3.25359+
Found by Jake Loyd
in June 2026. 8.

s = 2√3 = 3.464+
Trivial.
9.

s = 3.65373+
Found by Aapo Lipponen
in October 2026.

10.

s = 3.80531+
Found by Jake Loyd
in June 2026. 11.

s = 7/√3 = 4.041+
Trivial.
12.

s = 4.15352+
Found by Joshua Wolk
in September 2026.

13.

s = 4.31081+
Found by Joshua Wolk in September 2026. 14.

s = 4.46716+
Found by Jake Loyd
in June 2026. 15.

s = 8/√3 = 4.61880+
Trivial.

16.

s = 4.71948+
Found by Yanis Gomes
in October 2026. 17.

s = 4.86608+
Found by Joshua Wolk
in September 2026. 18.

s = 5.00838+
Found by Joshua Wolk
in September 2026.

           19.

s = 5.19303+
Found by Yanis Gomes
in October 2026.            20.

s = 5.24439+
Found by Joshua Wolk
in September 2026.            21.

s = 5.36445+
Found by Joshua Wolk
in September 2026.

           22.

s = 5.50041+
Found by Joshua Wolk
in September 2026.            23.

s = 5.64670+
Found by Joshua Wolk
in September 2026.            24.

s = 5.75784+
Found by Joshua Wolk in September 2026.

           25.

s = 7/3+2√3 = 5.79743+
Found by Maurizio Morandi
in August 2026.            26.

s = 5.90097+
Found by Joshua Wolk
in September 2026.            27.

s = 6.03670+
Found by Yanis Gomes
in October 2026.

           28.

s = 6.08557+
Found by Joshua Wolk
in September 2026.            29.

s = 6.32299+
Found by Yanis Gomes
in October 2026.            30.

s = 6.36338+
Found by Joshua Wolk
in September 2026.

           31.

s = 6.42490+
Found by Joshua Wolk
in September 2026.            32.

s = 6.55909+
Found by Joshua Wolk
in September 2026.            33.

s = 6.68454+
Found by Joshua Wolk
in September 2026.

           34.

s = 6.81550+
Found by Joshua Wolk
in September 2026.            35.

s = 6.92820+
Found by Joshua Wolk
in September 2026.            36.

s = 6.94257+
Found by Joshua Wolk
in September 2026.

           37.

s = 7.02430+
Found by Joshua Wolk
in September 2026.            38.

s = 7.13641+
Found by Joshua Wolk
in September 2026.            39.

s = 7.21594+
Found by Joshua Wolk
in September 2026.

           40.

s = 7.29924+
Found by Joshua Wolk
in September 2026.            41.

s = 7.42062+
Found by Joshua Wolk
in September 2026.            42.

s = 7.50555+
Found by Joshua Wolk
in September 2026.

           43.

s = 7.52563+
Found by Joshua Wolk
in September 2026.            44.

s = 7.63619+
Found by Yanis Gomes
in October 2026.            45.

s = 7.75848+
Found by Joshua Wolk
in September 2026.

           46.

s = 7.82313+
Found by Yanis Gomes
in October 2026.            47.

s = 7.95621+
Found by Yanis Gomes
in October 2026.            48.

s = 8.03755+
Found by Joshua Wolk
in September 2026.

49.-50.

s = 8.08290+
Found by Joshua Wolk
in September 2026.