Octagons in Tans

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

1.

s = 2+3/√2 = 4.12132+
Trivial. 		           2.

s = 3+2√2 = 5.82842+
Trivial. 		           3.

s = 3+5/√2 = 6.53553+
Trivial.

4.

s = 4+5/√2 = 7.53553+
Trivial.
  		           5.

s = 9/2+3√2 = 8.74264+
Found by Jonathan Viquerat
in May 2026. 		           6.

s = 4+7/√2 = 8.94974+
Trivial.
 
7.

s = 5+7/√2 = 9.94974+
Found by Jonathan Viquerat
in May 2026. 		           8.

s = 10.65684+
Found by Jonathan Viquerat
in May 2026. 		           9.

s = 6+7/√2 = 10.94974+
Trivial.
 
10.

s = 5+9/√2 = 11.36396+
Trivial.
  		           11.

s = 12.33328+
Found by Jonathan Viquerat
in May 2026. 		           12.

s = 12.65684+
Found by Jonathan Viquerat
in May 2026.
13.

s = 13.21750+
Found by Jonathan Viquerat
in May 2026. 		           14.

s = 13/2+5√2 = 13.57106+
Found by Jonathan Viquerat
in May 2026. 		           15.

s = 6+11/√2 = 13.77817+
Trivial.
 
16.

s = 8+9/√2 = 14.36396+
Trivial.
  		           17.

s = 14.77816+
Found by Jonathan Viquerat
in May 2026. 		           18.

s = 15.34720+
Found by Jonathan Viqueratl
in May 2026.
19.

s = 15.68053+
Found by Jonathan Viquerat
in May 2026. 		           20.

s = 15/2+6√2 = 15.98528+
Found by Jonathan Viquerat
in May 2026. 		           21.

s = 7+13/√2 = 16.19238+
Trivial.
 
22.

s = 16.77817+
Found by Thomas Greenleaf
in June 2026. 		           23.

s = 15/2+6√2 = 17.19239+
Found by Joshua Wolk
in September 2026. 		           24.

s = 7+13/√2 = 17.48528+
Found by Akshaj Shandilya
in September 2026.
25.

s = 17.77818+
Found by Joshua Wolk
in September 2026. 		           26.

s = 18.11917+
Found by Joshua Wolk
in September 2026. 		           27.

s = 18.39950+
Found by Joshua Wolk
in September 2026.
28.

s = 18.60660+
Found by Joshua Wolk
in September 2026. 		           29.

s = 19.12681+
Found by Joshua Wolk
in September 2026. 		           30.

s = 19.44831+
Found by Joshua Wolk
in September 2026.
31.

s = 19.60660+
Found by Joshua Wolk
in September 2026. 		           32.

s = 19.98728+
Found by Joshua Wolk
in September 2026. 		           33.

s = 20.28772+
Found by Joshua Wolk
in September 2026.
34.

s = 20.54803+
Found by Joshua Wolk
in September 2026. 		           35.

s = 20.81371+
Found by Joshua Wolk
in September 2026. 		           36.

s = 21.02082+
Found by Joshua Wolk
in September 2026.
37.

s = 21.40600+
Found by Joshua Wolk
in September 2026. 		           38.

s = 21.73999+
Found by Joshua Wolk
in September 2026. 		           39.

s = 21.96331+
Found by Joshua Wolk
in September 2026.
40.

s = 22.20530+
Found by Joshua Wolk
in September 2026. 		           41.

s = 22.44502+
Found by Joshua Wolk
in September 2026. 		           42.

s = 22.70856+
Found by Joshua Wolk
in September 2026.
43.

s = 22.97200+
Found by Joshua Wolk
in September 2026. 		           44.

s = 23.22428+
Found by Joshua Wolk
in September 2026. 		           45.

s = 23.43503+
Found by Joshua Wolk
in September 2026.
46.

s = 23.71021+
Found by Joshua Wolk
in September 2026. 		           47.

s = 23.93769+
Found by Joshua Wolk
in September 2026. 		           48.

s = 24.23792+
Found by Joshua Wolk
in September 2026.
49.

s = 24.46853+
Found by Joshua Wolk
in September 2026. 		           50.

s = 24.65930+
Found by Joshua Wolk
in September 2026.