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 = 3.07456+
Found by Joshua Wolk
in September 2026.


13.
           14.
           15.
s = 3.22359+
Found by Jonathan Viquerat
in September 2026.
s = 3.34945+
Found by Joshua Wolk
in September 2026.
s = 3.46665+
Found by Joshua Wolk
in September 2026.


16.
           17.
           18.
s = 3.55635+
Found by Joshua Wolk
in September 2026.
s = 3.61456+
Found by Joshua Wolk
in September 2026.
s = 3.73272+
Found by Joshua Wolk
in September 2026.


19.
           20.
           21.
s = 3.81074+
Found by Joshua Wolk
in September 2026.
s = 3.86746+
Found by Joshua Wolk
in September 2026.
s = 3.95283+
Found by Joshua Wolk
in September 2026.


22.
           23.
           24.
s = 4.01867+
Found by Joshua Wolk
in September 2026.
s = 4.13138+
Found by Joshua Wolk
in September 2026.
s = 4.21522+
Found by Joshua Wolk
in September 2026.


25.
           26.
           27.
s = 4.32667+
Found by Joshua Wolk
in September 2026.
s = 4.40640+
Found by Joshua Wolk
in September 2026.
s = 4.49049+
Found by Joshua Wolk
in September 2026.


28.
           29.
           30.
s = 4.57943+
Found by Joshua Wolk
in September 2026.
s = 4.66294+
Found by Joshua Wolk
in September 2026.
s = 4.73978+
Found by Joshua Wolk
in September 2026.


31.
           32.
           33.
s = 4.81428+
Found by Joshua Wolk
in September 2026.
s = 4.86777+
Found by Joshua Wolk
in September 2026.
s = 4.91799+
Found by Joshua Wolk
in September 2026.


34.
           35.
           36.
s = 4.97325+
Found by Joshua Wolk
in September 2026.
s = 5.01460+
Found by Joshua Wolk
in September 2026.
s = 5.09550+
Found by Joshua Wolk
in September 2026.


37.
           38.
           39.
s = 5.16067+
Found by Joshua Wolk
in September 2026.
s = 5.21980+
Found by Joshua Wolk
in September 2026.
s = 5.29134+
Found by Joshua Wolk
in September 2026.


40.
           41.
           42.
s = 5.37051+
Found by Joshua Wolk
in September 2026.
s = 5.43670+
Found by Joshua Wolk
in September 2026.
s = 5.50486+
Found by Joshua Wolk
in September 2026.


43.
           44.
           45.
s = 5.55491+
Found by Joshua Wolk
in September 2026.
s = 5.63173+
Found by Joshua Wolk
in September 2026.
s = 5.68806+
Found by Joshua Wolk
in September 2026.


46.
           47.
           48.
s = 5.76800+
Found by Joshua Wolk
in September 2026.
s = 5.83209+
Found by Joshua Wolk
in September 2026.
s = 5.88973+
Found by Joshua Wolk
in September 2026.


49.
           50.
s = 5.96146+
Found by Joshua Wolk
in September 2026.
s = 6.02790+
Found by Joshua Wolk
in September 2026.