Pentagons in Octagons

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


1.
           2.
           3.
s = 0.69741+
Trivial.
 
s = 1.17774+
Trivial.
 
s = 1.28954+
Found by Nicolas Campailla
in May 2026.


4.
           5.
           6.
s = 1.42986+
Trivial.
 
s = 1.61756+
Found by Nicolas Campailla
in May 2026.
s = 1.78003+
Found by Nicolas Campailla
in May 2026.


7.
           8.
           9.
s = 1.82343+
Found by Timo Berthold et al
in May 2026.
s = 1.95989+
Found by Nicolas Campailla
in May 2026.
s = 2.09517+
Found by Nicolas Campailla
in May 2026.


10.
           11.
           12.
s = 2.21135+
Found by Timo Berthold et al
in May 2026.
s = 2.33111+
Found by Timo Berthold et al
in May 2026.
s = 2.39327+
Found by Timo Berthold et al
in May 2026.


13.
           14.
           15.
s = 2.49937+
Found by Timo Berthold et al
in May 2026.
s = 2.56585+
Found by Timo Berthold et al
in May 2026.
s = 2.68123+
Found by Timo Berthold et al
in May 2026.


16.
           17.
           18.
s = 2.75343+
Found by Ethan Riddle
in May 2026.
s = 2.81135+
Found by Ethan Riddle
in May 2026.
s = 2.89377+
Found by Ethan Riddle
in May 2026.


19.
           20.
           21.
s = 2.95646+
Found by Ethan Riddle
in May 2026.
s = 3.04875+
Found by Ethan Riddle
in May 2026.
s = 3.12006+
Found by Ethan Riddle
in May 2026.


22.
           23.
           24.
s = 3.19404+
Found by Ethan Riddle
in May 2026.
s = 3.25350+
Found by Ethan Riddle
in May 2026.
s = 3.28852+
Found by Ethan Riddle
in May 2026.


25.
           26.
s = 3.36821+
Found by Ethan Riddle
in May 2026.
s = 3.43368+
Found by Ethan Riddle
in May 2026.