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 = 3.65374+
Found by Jake Loyd
in June 2026.

10.

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

s = 7/√3 = 4.041+
Trivial.
12.

s = 4.15868+
Found by Jake Loyd
in June 2026.

13.

s = 4.33273+
Found by Jake Loyd
in June 2026. 14.

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

s = 8/√3 = 4.61880+
Trivial.

16.

s = 3 + √3 = 4.73205+
Found by Maurizio Morandi
in May 2026.