Circles in Pentagons

The following pictures show n unit circles packed inside the smallest known regular pentagon (of side length s).


1.            2.            3.
s = 2tan(36°)
s = 1.453+
Trivial.
s = 2tan(36°) + √5 - 1
s = 2.689+
Trivial.
s = 3.015+
Found by George Sicherman
in July 2012.


4.            5.            6.
s = 3.314+
Found by George Sicherman
in July 2012.
s = 2tan(36°) + 2
s = 3.453+
Trivial.
s = 2tan(36°) + 4sin(36°)
s = 3.804+
Trivial.

7.            8.            9.
s = 4.236+
Found by George Sicherman
in July 2012.
s = 4.564+
Found by George Sicherman
in July 2012.
s = 4.825+
Found by George Sicherman
in July 2012.

10.            11.            12.
s = 5.095+
Found by George Sicherman
in July 2012.
s = 5.240+
Found by David W. Cantrell
in July 2012.
s = 5.407+
Found by George Sicherman
in July 2012.

13.            14.            15.
s = 5.651+
Found by George Sicherman
in July 2012.
s = 5.808+
Found by George Sicherman
in July 2012.
s = 5.945+
Found by George Sicherman
in July 2012.

16.            17.            18.
s = 6.129+
Found by George Sicherman
in July 2012.
s = 6.419+
Found by David W. Cantrell
in July 2012.
s = 6.586+
Found by David W. Cantrell
in July 2012.

19.            20.            21.
s = 6.777+
Found by David W. Cantrell
in July 2012.
s = 6.944+
Found by David W. Cantrell
in July 2012.
s = 7.107+
Found by David W. Cantrell
in July 2012.

22.            23.            24.
s = 7.271+
Found by David W. Cantrell
in July 2012.
s = 7.397+
Found by David W. Cantrell
in July 2012.
s = 7.534+
Found by David W. Cantrell
in July 2012.

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