It then continues: The *smallest* square of that dissection is the bottom of a cube, whose top is a square platform with a nonzero "curb" all the way around its edges. On Tue, Feb 7, 2017 at 9:04 AM, James Propp <jamespropp@gmail.com> wrote:
I remember how the proof starts: Look at the bottom face of the cube and how it's dissected into squares.
Jim Propp
On Tuesday, February 7, 2017, Fred Lunnon <fred.lunnon@gmail.com> wrote:
I had seen this before, long ago, but then forgotten it.
A square can be dissected into finitely many unequal squares, but a cube cannot be dissected into finitely many unequal cubes.
Why not?
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