Pentagons in Tans

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

1.

s = 2.48911+
Trivial. 		           2.

s = 3.52014+
Trivial. 		           3.

s = 3.97792+
Trivial.

4.

s = 4.63338+
Found by Jonathan Viquerat
in May 2026. 		           5.

s = 5.16518+
Found by Jonathan Viquerat
in May 2026. 		           6.

s = 5.48233+
Found by Jonathan Viquerat
in May 2026.
7.

s = 6.03679+
Found by Jonathan Viquerat
in May 2026. 		           8.

s = 6.30671+
Found by Jonathan Viquerat
in May 2026. 		           9.

s = 6.69536+
Found by Jonathan Viquerat
in May 2026.
10.

s = 6.98078+
Found by Jonathan Viquerat
in May 2026. 		           11.

s = 7.34729+
Found by Jonathan Viquerat
in May 2026. 		           12.

s = 7.54006+
Found by Jonathan Viquerat
in May 2026.
13.

s = 7.82906+
Found by Jonathan Viquerat
in May 2026. 		           14.

s = 8.16823+
Found by Joshua Wolk
in September 2026. 		           15.

s = 8.45665+
Found by Joshua Wolk
in September 2026.
16.

s = 8.66023+
Found by Jonathan Viquerat
in May 2026. 		           17.

s = 8.89679+
Found by Jonathan Viquerat
in September 2026. 		           18.

s = 9.08709+
Found by Joshua Wolk
in September 2026.
19.

s = 9.38474+
Found by Yanis Gomes
in October 2026. 		           20.

s = 9.61256+
Found by Yanis Gomes
in October 2026. 		           21.

s = 9.78840+
Found by Joshua Wolk
in September 2026.
22.

s = 10.00562+
Found by Yanis Gomes
in October 2026. 		           23.

s = 10.24859+
Found by Jonathan Viquerat
in September 2026. 		           24.

s = 10.43709+
Found by Yanis Gomes
in October 2026.
25.

s = 10.63196+
Found by Yanis Gomes
in October 2026. 		           26.

s = 10.82578+
Found by Joshua Wolk
in September 2026. 		           27.

s = 10.97451+
Found by Joshua Wolk
in September 2026.
28.

s = 11.20066+
Found by Yanis Gomes
in October 2026. 		           29.

s = 11.37085+
Found by Joshua Wolk
in September 2026. 		           30.

s = 11.55573+
Found by Joshua Wolk
in September 2026.
31.

s = 11.77955+
Found by Yanis Gomes
in October 2026. 		           32.

s = 11.94466+
Found by Joshua Wolk
in September 2026. 		           33.

s = 12.11233+
Found by Joshua Wolk
in September 2026.
34.

s = 12.27118++
Found by Joshua Wolk
in September 2026. 		           35.

s = 12.43466+
Found by Joshua Wolk
in September 2026. 		           36.

s = 12.61269+
Found by Joshua Wolk
in September 2026.
37.

s = 12.76595++
Found by Joshua Wolk
in September 2026. 		           38.

s = 12.92460+
Found by Yanis Gomes
in October 2026. 		           39.

s = 13.09172+
Found by Joshua Wolk
in September 2026.
40.

s = 13.25948++
Found by Joshua Wolk
in September 2026. 		           41.

s = 13.38329+
Found by Joshua Wolk
in September 2026. 		           42.

s = 13.53914+
Found by Joshua Wolk
in September 2026.
43.

s = 13.70104++
Found by Joshua Wolk
in September 2026. 		           44.

s = 13.84888+
Found by Joshua Wolk
in September 2026. 		           45.

s = 13.98552+
Found by Joshua Wolk
in September 2026.
46.

s = 14.14727++
Found by Joshua Wolk
in September 2026. 		           47.

s = 14.29886+
Found by Joshua Wolk
in September 2026. 		           48.

s = 14.44685+
Found by Joshua Wolk
in September 2026.
49.

s = 14.56854+
Found by Yanis Gomes
in October 2026. 		           50.

s = 14.69968+
Found by Joshua Wolk
in September 2026.