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 = 3.07687+
Found by Joshua Wolk
in September 2026.

9.

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

10.

s = 3.51930+
Found by Bhavithran Ananthan
in July 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 = 3.88151+
Found by Bhavithran Ananthan
in July 2026.

14.

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

15.

s = 4.11722+
Found by Joshua Wolk
in September 2026.

16.

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

17.

s = 4.38233+
Found by Jonathan Viquerat
in September 2026.

18.

s = 4.54032+
Found by Thomas Greenleaf
in June 2026.

19.

s = 4.67463+
Found by Joshua Wolk
in September 2026.

20.

s = 4.79125+
Found by Thomas Greenleaf
in June 2026.

21.

s = 4.87601+
Found by Jonathan Viquerat
in September 2026.

22.

s = 4.93220+
Found by Thomas Greenleaf
in June 2026.

23.

s = 5.01785+
Found by Jonathan Viquerat
in September 2026.

24.

s = 5.07776+
Found by Joshua Wolk
in September 2026.

25.

s = 5.22619+
Found by Joshua Wolk
in September 2026.