Dominoes in Pentagons

Dominoes in Pentagons

The following pictures show n dominoes (with short side 1) packed inside the smallest known pentagons (with side s).

1.

s = 1.53575+
Trivial.
2.

s = 1.86166+
Found by Aapo Lipponen
in July 2026. 3.

s = 2.31933+
Found by Jonathan Viquerat
in May 2026.

4.

s = 2.58859+
Found by Jonathan Viquerat
in May 2026.

5.

s = 2.80725+
Found by Jonathan Viquerat
in May 2026.

6.

s = 2.98883+
Found by Jonathan Viquerat
in May 2026.

7.

s = 3.24589+
Found by Jonathan Viquerat
in May 2026.

8.

s = 3.49269+
Found by Jonathan Viquerat
in May 2026.

9.

s = 3.65963+
Found by Jonathan Viquerat
in May 2026.

10.

s = 3.82222+
Found by Joshua Wolk
in September 2026.

11.

s = 3.94761+
Found by Jonathan Viquerat
in May 2026.

12.

s = 4.13414+
Found by Jonathan Viquerat
in August 2026.

13.

s = 4.26135+
Found by Joshua Wolk
in September 2026.

14.

s = 4.48994+
Found by Joshua Wolk
in September 2026.

15.

s = 4.57471+
Found by Joshua Wolk
in September 2026.

16.

s = 4.72864+
Found by Joshua Wolk
in September 2026.

17.

s = 4.82586+
Found by Joshua Wolk
in September 2026.

18.

s = 4.95006+
Found by Joshua Wolk
in September 2026.

19.

s = 5.10630+
Found by Joshua Wolk
in September 2026.

20.

s = 5.20850+
Found by Joshua Wolk
in September 2026.

21.

s = 5.34815+
Found by Joshua Wolk
in September 2026.

22.

s = 5.48802+
Found by Joshua Wolk
in September 2026.

23.

s = 5.62561+
Found by Joshua Wolk
in September 2026.

24.

s = 5.70796+
Found by Jonathan Viquerat
in August 2026.

25.

s = 5.82215+
Found by Joshua Wolk
in September 2026.

26.

s = 5.89500+
Found by Joshua Wolk
in September 2026.

27.

s = 5.99876+
Found by Joshua Wolk
in September 2026.

28.

s = 6.10234+
Found by Joshua Wolk
in September 2026.

29.

s = 6.22588+
Found by Joshua Wolk
in September 2026.

30.

s = 6.30768+
Found by Joshua Wolk
in September 2026.