Triangles in L's

The following pictures show n unit triangles packed inside the smallest known L (with short side s).


1.
           2.-3.
           4.
s = √6/4 = .61237+
Trivial.
 
s = √3/2 = .86602+
Trivial.
s = .92423+
Found by Jonathan Viquerat
in June 2026.


5.
           6.
           7.
s = 1
Found by Jonathan Viquerat
in June 2026.
s = 1.12037+
Found by Jonathan Viquerat
in June 2026.
s = 1.17127+
Found by Jonathan Viquerat
in June 2026.


8.
           9.
           10.
s = 1.27527+
Found by Jonathan Viquerat
in June 2026.
s = 1.32893+
Found by Jonathan Viquerat
in June 2026.
s = 1.39370+
Found by Jonathan Viquerat
in June 2026.


11.
           12.
           13.
s = 1.46116+
Found by Jonathan Viquerat
in June 2026.
s = 3/2 = 1.5
Found by Jonathan Viquerat
in June 2026.
s = 1.56571+
Found by Jonathan Viquerat
in June 2026.


14.
           15.
           16.
s = 1.62225+
Found by Jonathan Viquerat
in June 2026.
s = 1.68012+
Found by Jonathan Viquerat
in June 2026.
s = 1.72307+
Found by Jonathan Viquerat
in June 2026.


17.
           18.
           19.
s = 1.73204+
Found by Jonathan Viquerat
in June 2026.
s = 1.75029+
Found by Jonathan Viquerat
in June 2026.
s = 1.82181+
Found by Jonathan Viquerat
in June 2026.


20.
s = 1.86706+
Found by Jonathan Viquerat
in June 2026.