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 = 3.33455+
Found by Ryan Chi and d/dx
in September 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 = 3.92745+
Found by Aapo Lipponen
in October 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 = 4.38232+
Found by Aapo Lipponen
in October 2026. 		           18.

s = 4.54031+
Found by Aapo Lipponen
in October 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 = 5.01784+
Found by Yanis Gomes
in October 2026. 		           24.

s = 5.07776+
Found by Joshua Wolk
in September 2026.
25.

s = 5.22619+
Found by Joshua Wolk
in September 2026. 		           26.

s = 5.29795+
Found by Joshua Wolk
in September 2026. 		           27.

s = 5.44567+
Found by Yanis Gomes
in October 2026.
28.

s = 5.51445+
Found by Joshua Wolk
in September 2026. 		           29.

s = 5.65349+
Found by Joshua Wolk
in September 2026. 		           30.

s = 5.73945+
Found by Joshua Wolk
in September 2026.
31.

s = 5.86943+
Found by Joshua Wolk
in September 2026. 		           32.

s = 5.94115+
Found by Joshua Wolk
in September 2026. 		           33.

s = 6.04133+
Found by Joshua Wolk
in September 2026.
34.

s = 6.11919+
Found by Joshua Wolk
in September 2026. 		           35.

s = 6.16793+
Found by Joshua Wolk
in September 2026. 		           36.

s = 6.24976+
Found by Joshua Wolk
in September 2026.
37.

s = 6.28763+
Found by Yanis Gomes
in October 2026. 		           38.

s = 6.33603+
Found by Joshua Wolk
in September 2026. 		           39.

s = 6.43246+
Found by Joshua Wolk
in September 2026.
40.

s = 6.47982+
Found by Joshua Wolk
in September 2026. 		           41.

s = 6.61003+
Found by Joshua Wolk
in September 2026. 		           42.

s = 6.67318+
Found by Yanis Gomes
in October 2026.
43.

s = 6.73358+
Found by Joshua Wolk
in September 2026. 		           44.

s = 6.84651+
Found by Joshua Wolk
in September 2026. 		           45.

s = 6.91735+
Found by Joshua Wolk
in September 2026.
46.

s = 7.02518+
Found by Joshua Wolk
in September 2026. 		           47.

s = 7.09863+
Found by Joshua Wolk
in September 2026. 		           48.

s = 7.16702+
Found by Joshua Wolk
in September 2026.
49.

s = 7.28200+
Found by Joshua Wolk
in September 2026. 		           50.

s = 7.35018+
Found by Joshua Wolk
in September 2026.