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 = 2.46585+
Found by Jonathan Viquerat
in May 2026. 3.

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

4.

s = 3.01522+
Found by Jonathan Viquerat
in May 2026.

5.

s = 3.21973+
Found by Jonathan Viquerat
in May 2026.

6.

s = 3.54952+
Found by Jonathan Viquerat
in May 2026.

7.

s = 3.79749+
Found by Jonathan Viquerat
in May 2026.

8.

s = 4.14917+
Found by Jonathan Viquerat
in May 2026.

9.

s = 4.34314+
Found by Jonathan Viquerat
in May 2026.

10.

s = 4.55810+
Found by Jonathan Viquerat
in May 2026.

11.

s = 4.71967+
Found by Jonathan Viquerat
in May 2026.

12

s = 4.91850+
Found by Jonathan Viquerat
in May 2026.

13.

s = 5.10109+
Found by Jonathan Viquerat
in May 2026.

14.

s = 5.29209+
Found by Jonathan Viquerat
in May 2026.

15.

s = 5.41358+
Found by Jonathan Viquerat
in May 2026.

16.

s = 5.61469+
Found by Jonathan Viquerat
in May 2026.

17.

s = 5.82134+
Found by Jonathan Viquerat
in May 2026.

18.

s = 5.94471+
Found by Jonathan Viquerat
in May 2026.

19.

s = 6.10977+
Found by Jonathan Viquerat
in May 2026.

20.

s = 6.24694+
Found by Jonathan Viquerat
in May 2026.

21.

s = 6.39222+
Found by Jonathan Viquerat
in May 2026.

22.

s = 6.53481+
Found by Jonathan Viquerat
in May 2026.

23.

s = 6.66621+
Found by Jonathan Viquerat
in May 2026.

24.

s = 6.78012+
Found by Jonathan Viquerat
in May 2026.

25.

s = 6.89100+
Found by Jonathan Viquerat
in May 2026.