Octagons in Triangles

The following pictures show n unit octagons packed inside the smallest known equilateral triangle (of side s).


1.

s = 4.38541+
Found by Jonathan Viquerat
in May 2026.
           2.

s = 6.79962+
Found by Jonathan Viquerat
in May 2026.
           3.

s = 6.83693+
Found by Jonathan Viquerat
in May 2026.


4.

s = 8.65211+
Found by Jonathan Viquerat
in May 2026.
           5.

s = 9.28498+
Found by Jonathan Viquerat
in May 2026.
           6.

s = 9.31576+
Found by Jonathan Viquerat
in May 2026.

7.

s = 11.06632+
Trivial.
Found by Jonathan Viquerat
in May 2026.
           8.

s = 11.51025+
Found by Jonathan Viquerat
in May 2026.
           9.

s = 11.72998+
Trivial.
 

10.

s = 11.80642+
Found by Jonathan Viquerat
in May 2026.
           11.

s = 13.24689+
Found by Jonathan Viquerat
in May 2026.
           12.

s = 13.62033+
Found by Jonathan Viquerat
in May 2026.

13.

s = 14.04225+
Found by Jonathan Viquerat
in May 2026.
           14.

s = 14.24006+
Found by Jonathan Viquerat
in May 2026.
           15.

s = 14.28169+
Found by Jonathan Viquerat
in May 2026.

16.

s = 15.66136+
Found by Jonathan Viquerat
in May 2026.
           17.

s = 16.06209+
Found by Jonathan Viquerat
in May 2026.
           18.

s = 16.43378+
Found by Jonathan Viquerat
in May 2026.

19.

s = 16.55207+
Found by Jonathan Viquerat
in May 2026.
           20.

s = 16.74308+
Found by Jonathan Viquerat
in May 2026.