perplexus.info :: Shapes : No Unit Cube Dissection

No Unit Cube Dissection (Posted on 2015-06-11)

Find a dissection of a 19x19x19 cube such that all the pieces are cubes with integer dimension and none of them are unit cubes.

See The Solution Submitted by Brian Smith

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first observations

| Comment 1 of 7

Of course each face of the desired cube will be a 19x19 square composed of integer squares. Compared those solutions with decompositions of 6859 into cubes should give an answer eventually.

Now off to find some graph paper.

Posted by xdog on 2015-06-12 12:23:57

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