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 = 1.32891+
Found by Joshua Wolk
in September 2026.
s = 1.39368+
Found by Joshua Wolk
in September 2026.


11.
           12.
           13.
s = 1.46003+
Found by Joshua Wolk
in September 2026.
s = 3/2 = 1.5
Found by Jonathan Viquerat
in June 2026.
s = 1.56560+
Found by Joshua Wolk
in September 2026.


14.
           15.
           16.
s = 1.62220+
Found by Joshua Wolk
in September 2026.
s = 1.67348+
Found by Joshua Wolk
in September 2026.
s = 1.71574+
Found by Joshua Wolk
in September 2026.


17.
           18.
           19.
s = 1.73051+
Found by Joshua Wolk
in September 2026.
s = 1.75029+
Found by Jonathan Viquerat
in June 2026.
s = 1.80851+
Found by Joshua Wolk
in September 2026.


20.
           21.
           22.
s = 1.85964+
Found by Joshua Wolk
in September 2026.
s = 1.89414+
Found by Joshua Wolk
in September 2026.
s = 1.93268+
Found by Joshua Wolk
in September 2026.


23.
           24.
           25.
s = 1.97533+
Found by Joshua Wolk
in September 2026.
s = 2.01523+
Found by Joshua Wolk
in September 2026.
s = 2.05630+
Found by Joshua Wolk
in September 2026.


26.
           27.
           28.
s = 2.10265+
Found by Joshua Wolk
in September 2026.
s = 2.15366+
Found by Joshua Wolk
in September 2026.
s = 2.18639+
Found by Joshua Wolk
in September 2026.


29.
           30.
           31.
s = 2.22534+
Found by Joshua Wolk
in September 2026.
s = 2.25527+
Found by Joshua Wolk
in September 2026.
s = 2.29242+
Found by Joshua Wolk
in September 2026.


32.
           33.
           34.
s = 2.33835+
Found by Joshua Wolk
in September 2026.
s = 2.36326+
Found by Joshua Wolk
in September 2026.
s = 2.39980+
Found by Joshua Wolk
in September 2026.


35.
           36.
           37.
s = 2.43473+
Found by Joshua Wolk
in September 2026.
s = 2.45658+
Found by Joshua Wolk
in September 2026.
s = 2.48819+
Found by Joshua Wolk
in September 2026.


38.
           39.
           40.
s = 2.51836+
Found by Joshua Wolk
in September 2026.
s = 2.54228+
Found by Joshua Wolk
in September 2026.
s = 2.56143+
Found by Joshua Wolk
in September 2026.


41.
           42.
           43.
s = 2.58230+
Found by Joshua Wolk
in September 2026.
s = 2.59244+
Found by Joshua Wolk
in September 2026.
s = 2.61839+
Found by Joshua Wolk
in September 2026.


44.
           45.
           46.
s = 2.64944+
Found by Joshua Wolk
in September 2026.
s = 2.69004+
Found by Joshua Wolk
in September 2026.
s = 2.71497+
Found by Joshua Wolk
in September 2026.


47.
           48.
           49.
s = 2.73874+
Found by Joshua Wolk
in September 2026.
s = 2.76929+
Found by Joshua Wolk
in September 2026.
s = 2.79863+
Found by Joshua Wolk
in September 2026.


50.
s = 2.83600+
Found by Joshua Wolk
in September 2026.