Pentagons in Dominoes

Pentagons in Dominoes

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

1.

s = 1.53884+
Trivial.
2.

s = 1.55460+
Found by Jonathan Viquerat
in May 2026. 3.

s = 2.10051+
Found by Jonathan Viquerat
in May 2026.

4.

s = 2.33739+
Found by Jonathan Viquerat
in May 2026.

5.

s = 2.47315+
Found by Jonathan Viquerat
in May 2026.

6.

s = 2.69228+
Found by Jonathan Viquerat
in May 2026.

7.

s = 2.91977+
Found by Jonathan Viquerat
in May 2026.

8.

s = 3.07696+
Found by Jonathan Viquerat
in May 2026.

9.

s = 3.33456+
Found by Jonathan Viquerat
in May 2026.

10.

s = 3.51957+
Found by Jonathan Viquerat
in May 2026.

11.

s = 3.61313+
Found by Jonathan Viquerat
in May 2026.

12.

s = 3.74837+
Found by Jonathan Viquerat
in May 2026.

13.

s = 3.88153+
Found by Jonathan Viquerat
in May 2026.

14.

s = 3.92746+
Found by Jonathan Viquerat
in May 2026.

15.

s = 4.11812+
Found by Jonathan Viquerat
in May 2026.

16.

s = 4.27934+
Found by Jonathan Viquerat
in May 2026.

17.

s = 4.38376+
Found by Jonathan Viquerat
in May 2026.

18.

s = 4.54897+
Found by Jonathan Viquerat
in May 2026.

19.

s = 4.67895+
Found by Jonathan Viquerat
in May 2026.

20.

s = 4.80162+
Found by Jonathan Viquerat
in May 2026.