Hexagons in Pentagons

Hexagons in Pentagons
The following pictures show n regular hexagons with side 1 packed inside the smallest known regular pentagon (of side length s).

1.

s = 1.39538+
Trivial.
2.

s = 2.46592+
Found by Ethan Riddle
in May 2026. 3.

s = 2.74282+
Found by Ethan Riddle
in May 2026.

4.

s = 3.01549+
Found by Ethan Riddle
in May 2026.

5.

s = 3.22037+
Found by Ethan Riddle
in May 2026.

6.

s = 3.54966+
Found by Ethan Riddle
in May 2026.

7.

s = 3.79800+
Found by Ethan Riddle
in May 2026.

8.

s = 4.14961+
Found by Ethan Riddle
in May 2026.

9.

s = 4.34367+
Found by Ethan Riddle
in May 2026.

10.

s = 4.56053+
Found by Ethan Riddle
in May 2026.

11.

s = 4.72660+
Found by Ethan Riddle
in May 2026.

12

s = 4.91927+
Found by Ethan Riddle
in May 2026.

13.

s = 5.10204+
Found by Ethan Riddle
in May 2026.

14.

s = 5.29332+
Found by Ethan Riddle
in May 2026.

15.

s = 5.41989+
Found by Ethan Riddle
in May 2026.

16.

s = 5.61803+
Found by Ethan Riddle
in May 2026.

17.

s = 5.82328+
Found by Ethan Riddle
in May 2026.

18.

s = 5.94857+
Found by Ethan Riddle
in May 2026.

19.

s = 6.11437+
Found by Ethan Riddle
in May 2026.

20.

s = 6.24935+
Found by Ethan Riddle
in May 2026.

21.

s = 6.39731+
Found by Ethan Riddle
in May 2026.

22.

s = 6.54553+
Found by Ethan Riddle
in May 2026.

23.

s = 6.66657+
Found by Ethan Riddle
in May 2026.

24.

s = 6.78359+
Found by Ethan Riddle
in May 2026.

25.

s = 6.89334+
Found by Ethan Riddle
in May 2026.