Dominoes in Pentagons

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

1.

s = √5–2+4√(1–2√5/5)
s = 1.53574+
Trivial.
  		           2.

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

s = 2.31933+
Found by Jonathan Viquerat in May 2026.
Proved by Rowan Jones in September 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 = 3.65962+
Found by Aapo Lipponen
in October 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 = 4.13406+
Found by Joshua Wolk in September 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 = 4.82561+
Found by Joshua Wolk
in September 2026. 		           18.

s = 4.94576+
Found by Joshua Wolk
in September 2026.
19.

s = 5.09389+
Found by Joshua Wolk
in September 2026. 		           20.

s = 5.20850+
Found by Joshua Wolk
in September 2026. 		           21.

s = 5.33385+
Found by Joshua Wolk
in September 2026.
22.

s = 5.48283+
Found by Joshua Wolk
in September 2026. 		           23.

s = 5.59617+
Found by Joshua Wolk
in September 2026. 		           24.

s = 5.70116+
Found by Joshua Wolk in September 2026.
25.

s = 5.81676+
Found by Joshua Wolk
in September 2026. 		           26.

s = 5.89500+
Found by Joshua Wolk
in September 2026. 		           27.

s = 5.98615+
Found by Joshua Wolk
in September 2026.
28.

s = 6.08014+
Found by Joshua Wolk
in September 2026. 		           29.

s = 6.19910+
Found by Joshua Wolk
in September 2026. 		           30.

s = 6.29186+
Found by Joshua Wolk
in September 2026.
31.

s = 6.42371+
Found by Joshua Wolk
in September 2026. 		           32.

s = 6.52554+
Found by Joshua Wolk
in September 2026. 		           33.

s = 3–√5+√(1625/2–3481√5/10)
s = 6.60557+
Found by Yanis Gomes
in October 2026.
34.

s = 6.70033+
Found by Joshua Wolk
in September 2026. 		           35.

s = 6.78697+
Found by Joshua Wolk
in September 2026. 		           36.

s = 6.85430+
Found by Joshua Wolk
in September 2026.
37.

s = 6.94877+
Found by Joshua Wolk
in September 2026. 		           38.

s = 7.03755+
Found by Joshua Wolk
in September 2026. 		           39.

s = 7.15244+
Found by Joshua Wolk
in September 2026.
40.

s = 7.20612+
Found by Joshua Wolk
in September 2026. 		           41.

s = 7.27821+
Found by Yanis Gomes
in October 2026. 		           42.

s = 7.42203+
Found by Joshua Wolk
in September 2026.
43.

s = 7.51353+
Found by Joshua Wolk
in September 2026. 		           44.

s = 7.58369+
Found by Joshua Wolk
in September 2026. 		           45.

s = 7.68144+
Found by Yanis Gomes
in October 2026.
46.

s = 7.73783+
Found by Joshua Wolk
in September 2026. 		           47.

s = 7.81495+
Found by Joshua Wolk
in September 2026. 		           48.

s = 7.87631+
Found by Joshua Wolk
in September 2026.
49.

s = 7.95906+
Found by Joshua Wolk
in September 2026. 		           50.

s = 8.04208+
Found by Joshua Wolk
in September 2026.