Pentagons in Hexagons

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


1.
           2.
           3.
s = 0.92900+
Trivial.
 
s = 1.53879+
Trivial.
 
s = 1.73240+
Trivial.
 


4.
           5.
           6.
s = 1.97666+
Found by Ethan Riddle
in May 2026.
s = 2.21854+
Found by Ethan Riddle
in May 2026.
s = 2.32294+
Found by Nicolas Campailla
in May 2026.


7.
           8.
           9.
s = 2.36527+
Found by Nicolas Campailla
in May 2026.
s = 2.71969+
Found by Nicolas Campailla
in May 2026.
s = 2.86967+
Found by Nicolas Campailla
in May 2026.


10.
           11.
           12.
s = 2.93789+
Found by Ethan Riddle
in May 2026.
s = 3.16155+
Found by Ethan Riddle
in May 2026.
s = 3.21624+
Found by Ethan Riddle
in May 2026.


13.
           14.
           15.
s = 3.41054+
Found by Ethan Riddle
in May 2026.
s = 3.46789+
Found by Ethan Riddle
in May 2026.
s = 3.63669+
Found by Ethan Riddle
in May 2026.


16.
           17.
           18.
s = 3.70177+
Found by Ethan Riddle
in May 2026.
s = 3.75890+
Found by Ethan Riddle
in May 2026.
s = 3.84605+
Found by Ethan Riddle
in May 2026.


19.
           20.
           21.
s = 3.88316+
Found by Ethan Riddle
in May 2026.
s = 4.14414+
Found by Ethan Riddle
in May 2026.
s = 4.24207+
Found by Ethan Riddle
in May 2026.


22.
           23.
           24.
s = 4.32724+
Found by Ethan Riddle
in May 2026.
s = 4.40034+
Found by Ethan Riddle
in May 2026.
s = 4.46693+
Found by Ethan Riddle
in May 2026.


25.
s = 4.58177+
Found by Ethan Riddle
in May 2026.