Tans in Hexagons

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

1.

s = .74062+
Trivial.
  		           2.

s = (3+√3)/6 = .78867+
Found by Jonathan Viquerat
in May 2026. 		           3.

s = .98882+
Found by Aapo Lippoen
in July 2026.

4.

s = 1.05845+
Found by Jonathan Viquerat
in May 2026. 		           5.

s = 1.13975+
Found by Aapo Lipponen
in October 2026. 		           6.

s = 1.20610+
Found by Jonathan Viquerat
in May 2026.
7.

s = 1.30322+
Found by Thomas Greenleaf
in June 2026. 		           8.

s = 1.37728+
Found by Thomas Greenleaf
in June 2026. 		           9.

s = 1.44631+
Found by Thomas Greenleaf
in June 2026.
10.

s = 1.51366+
Found by Thomas Greenleaf
in June 2026. 		           11.

s = 1.59198+
Found by Jake Loyd
in June 2026. 		           12.

s = 1.64554+
Found by Joshua Wolk
in September 2026.
13.

s = 1.70429+
Found by Jake Loyd
in June 2026. 		           14.

s = 1.76521+
Found by Joshua Wolk
in September 2026. 		           15.

s = 1.82645+
Found by Joshua Wolk
in September 2026.
16.

s = 1.88318+
Found by Joshua Wolk
in September 2026. 		           17.

s = 1.93777+
Found by Joshua Wolk
in September 2026. 		           18.

s = 1.99021+
Found by Joshua Wolk
in September 2026.
19.

s = 2.03177+
Found by Yanis Gomes
in October 2026. 		           20.

s = 2.08380+
Found by Yanis Gomes
in October 2026. 		           21.

s = 2.14048+
Found by Jake Loyd
in June 2026.
22.

s = 2.18728+
Found by Joshua Wolk
in September 2026. 		           23.

s = 2.22568+
Found by Joshua Wolk
in September 2026. 		           24.

s = 2.27296+
Found by Yanis Gomes
in October 2026.
25.

s = 2.32069+
Found by Joshua Wolk
in September 2026. 		           26.

s = 2.35408+
Found by Yanis Gomes
in October 2026. 		           27.

s = 2.40461+
Found by Joshua Wolk
in September 2026.
28.

s = 2.43754+
Found by Yanis Gomes
in October 2026. 		           29.

s = 2.48595+
Found by Joshua Wolk
in September 2026. 		           30.

s = 2.53292+
Found by Yanis Gomes
in October 2026.
31.

s = 2.58555+
Found by Joshua Wolk
in September 2026. 		           32.

s = 2.61470+
Found by Joshua Wolk
in September 2026. 		           33.

s = 2.64906+
Found by Joshua Wolk
in September 2026.
34.

s = 2.69033+
Found by Joshua Wolk
in September 2026. 		           35.

s = 2.73296+
Found by Yanis Gomes
in October 2026. 		           36.

s = 2.77185+
Found by Yanis Gomes
in October 2026.
37.

s = 2.81114+
Found by Yanis Gomes
in October 2026. 		           38.

s = 2.84329+
Found by Yanis Gomes
in October 2026. 		           39.

s = 2.87502+
Found by Joshua Wolk
in September 2026.
40.

s = 2.91917+
Found by Joshua Wolk
in September 2026. 		           41.

s = 2.93946+
Found by Joshua Wolk
in September 2026. 		           42.

s = 2.97753+
Found by Yanis Gomes
in October 2026.
43.

s = 3.01318+
Found by Joshua Wolk
in September 2026. 		           44.

s = 3.04329+
Found by Joshua Wolk
in September 2026. 		           45.

s = 3.08197+
Found by Joshua Wolk
in September 2026.
46.

s = 3.10743+
Found by Yanis Gomes
in October 2026. 		           47.

s = 3.13845+
Found by Yanis Gomes
in October 2026. 		           48.

s = 3.17562+
Found by Yanis Gomes
in October 2026.
49.

s = 3.20645+
Found by Yanis Gomes
in October 2026. 		           50.

s = 3.23362+
Found by Yanis Gomes
in October 2026.