Pentagons in Hexagons

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

1.
           2.
           3.
s = 0.92905+
Trivial.
  		s = 1.53879+
Trivial.
  		s = 1.73240+
Trivial.
 

4.
           5.
           6.
s = 1.97666+
Found by Ethan Riddle
in May 2026. 		s = 2.21822+
Found by Nicolas Campailla
in May 2026. 		s = 2.32293+
Found by Bhavithran Ananthan
in July 2026.

7.
           8.
           9.
s = (2√5–1+√(15–6√5))/2
s = 2.36527+
Found by Nicolas Campailla
in May 2026. 		s = 2.71922+
Found by Bhavithran Ananthan
in July 2026. 		s = 2.86967+
Found by Nicolas Campailla
in May 2026.

10.
           11.
           12.
s = 2.93664+
Found by Bhavithran Ananthan
in July 2026. 		s = 3.16125+
Found by Jonathan Viquerat
in May 2026. 		s = 3.21458+
Found by Jake Loyd
in June 2026.

13.
           14.
           15.
s = 3.40902+
Found by Nicolas Campailla
in August 2026. 		s = 3.46639+
Found by Joshua Wolk
in September 2026. 		s = 3.63499+
Found by Jake Loyd
in June 2026.

16.
           17.
           18.
s = 3.69895+
Found by Nicolas Campailla
in August 2026. 		s = 3.75774+
Found by Jonathan Viquerat
in May 2026. 		s = 3.84479+
Found by Jake Loyd
in June 2026.

19.
           20.
           21.
s = 3.88271+
Found by Jonathan Viquerat
in August 2026. 		s = 4.14048+
Found by Jake Loyd
in June 2026. 		s = 4.24003+
Found by Jake Loyd
in June 2026.

22.
           23.
           24.
s = 4.32443+
Found by Jake Loyd
in June 2026. 		s = 4.39703+
Found by Jake Loyd
in June 2026. 		s = 4.46360+
Found by Jake Loyd
in June 2026.

25.
           26.
           27.
s = 4.57861+
Found by Jake Loyd
in June 2026. 		s = 4.66001+
Found by Joshua Wolk
in September 2026. 		s = 4.71710+
Found by Jonathan Viquerat
in August 2026.

28.
           29.
           30.
s = 4.84290+
Found by Joshua Wolk
in September 2026. 		s = 4.90989+
Found by Joshua Wolk
in September 2026. 		s = 4.96247+
Found by Joshua Wolk
in September 2026.

31.
s = 5.08974+
Found by Joshua Wolk
in September 2026.