Cubes in Cubes

The following pictures show n unit cubes packed inside the smallest known cube (of side s). For all other values of n < 34, the trivial packing is the best known.


9-10.

          

11.

s = 2 + 1/2 = 2.707+
Found by Erich Friedman in 1998.
s = 2 + 22/5 + 3/5 = 2.912+
Found by Erich Friedman in 1998.


12.

          

13.

s = 2 + 22/3 = 2.942+
Found by Erich Friedman in 1998.
s = 2.956+
Found by Erich Friedman in 1998.

14.

          

28-33.

s = 2 + 72/10 = 2.989+
Found by Erich Friedman in 1998.
s = 3 + 1/2 = 3.707+
Found by Erich Friedman in 1998.

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