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   Author  Topic: Filling the Box  (Read 491 times)
Sebastian Craine
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Filling the Box  
« on: Aug 22nd, 2005, 2:41pm »
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Since you spoke of a rectangular box, it is safe to assume the solid might be a cube (not that it matters).  You failed to stipulate that one would need to fill the box with a finite number of incongruent cubes, as it is plausible if you would have an infinite number.  
 
Let the box be a square with side length N.  Then fill the box with incongruent cubes with side lengths that are part of an infinite sequence with sum N.
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Re: Filling the Box  
« Reply #1 on: Aug 22nd, 2005, 5:58pm »
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You are mixing dimensions. Your solutions works for filling a one dimensional "box". It does not work in 2 or higher dimensions, though.
 
There is already a thread for this puzzle. You may find the discussion there illuminating.
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