Pentagons in L's

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


1.
           2.
           3.
s = 1.23172+
Trivial.
 
s = √(5+2√5)/2 = 1.53884+
Trivial.
 
s = 1.55425+
Found by Jonathan Viquerat
in June 2026.


4.
           5.
           6.
s = 1.96918+
Found by Jonathan Viquerat
in June 2026.
s = 2.12433+
Found by Jonathan Viquerat
in June 2026.
s = 2.30512+
Found by Jonathan Viquerat
in June 2026.


7.
           8.
           9.
s = 2.41732+
Found by Jonathan Viquerat
in June 2026.
s = 2.54164+
Found by Jonathan Viquerat
in June 2026.
s = 2.67860+
Found by Jonathan Viquerat
in June 2026.


10.
           11.
           12.
s = 2.80245+
Trivial
 
s = 2.94662+
Found by Jonathan Viquerat
in June 2026.
s = 3.07460+
Found by Jonathan Viquerat
in June 2026.


13.
           14.
           15.
s = 3.22376+
Found by Jonathan Viquerat
in June 2026.
s = 3.35014+
Found by Jonathan Viquerat
in June 2026.
s = 3.46684+
Found by Jonathan Viquerat
in June 2026.


16.
           17.
           18.
s = 3.55676+
Found by Jonathan Viquerat
in June 2026.
s = 3.61657+
Found by Jonathan Viquerat
in June 2026.
s = 3.73676+
Found by Jonathan Viquerat
in June 2026.


19.
           20.
s = 3.81113+
Found by Jonathan Viquerat
in June 2026.
s = 3.86901+
Found by Jonathan Viquerat
in June 2026.