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 = 1.88055+
Found by Yanis Gomes
in October 2026. 		           17.

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

s = 1.98872+
Found by Yanis Gomes
in October 2026.
19.

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

s = 2.08094+
Found by Joost de Winter
in October 2026. 		           21.

s = 2.12983+
Found by Yanis Gomes
in October 2026.
22.

s = 2.17632+
Found by Yanis Gomes
in October 2026. 		           23.

s = 2.22067+
Found by Yanis Gomes
in October 2026. 		           24.

s = 2.26820+
Found by Yanis Gomes
in October 2026.
25.

s = 2.30705+
Found by Yanis Gomes
in October 2026. 		           26.

s = 2.35346+
Found by Joost de Winter
in October 2026. 		           27.

s = 2.40333+
Found by Yanis Gomes
in October 2026.
28.

s = 2.43743+
Found by Joost de Winter
in October 2026. 		           29.

s = 2.48544+
Found by Joost de Winter
in October 2026. 		           30.

s = 2.53024+
Found by Yanis Gomes
in October 2026.
31.

s = 2.58163+
Found by Yanis Gomes
in October 2026. 		           32.

s = 2.60995+
Found by Yanis Gomes
in October 2026. 		           33.

s = 2.64864+
Found by Joost de Winter
in October 2026.
34.

s = 2.68968+
Found by Joost de Winter
in October 2026. 		           35.

s = 2.73169+
Found by Yanis Gomes
in October 2026. 		           36.

s = 2.76534+
Found by Yanis Gomes
in October 2026.
37.

s = 2.79993+
Found by Yanis Gomes
in October 2026. 		           38.

s = 2.84321+
Found by Yanis Gomes
in October 2026. 		           39.

s = 2.87334+
Found by Yanis Gomes
in October 2026.
40.

s = 2.91382+
Found by Yanis Gomes
in October 2026. 		           41.

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

s = 2.97045+
Found by Yanis Gomes
in October 2026.
43.

s = 2.99840+
Found by Joost de Winter
in October 2026. 		           44.

s = 3.03489+
Found by Yanis Gomes
in October 2026. 		           45.

s = 3.07167+
Found by Yanis Gomes
in October 2026.
46.

s = 3.10228+
Found by Yanis Gomes
in October 2026. 		           47.

s = 3.13224+
Found by Joost de Winter
in October 2026. 		           48.

s = 3.17173+
Found by Joost de Winter
in October 2026.
49.

s = 3.20376+
Found by Yanis Gomes
in October 2026. 		           50.

s = 3.23241+
Found by Yanis Gomes
in October 2026.