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Thread: N-dimensional hypercubes

  1. #16
    MHF Contributor
    Nov 2010

    Re: N-dimensional hypercubes

    Quote Originally Posted by HallsofIvy View Post
    A "cube" in 1D space is a line segment. The two ends are the 0D endpoints. You color one of them blue and one of them red.
    Yes, but the OP was saying that you could not rotate the 1D cube in order to "swap" the red and blue ends. That would require two dimensions, which the OP said the rotations could not require more dimensions than the dimensionality of the cube itself. This implies that only the square and regular 3-cube work for this type of coloring uniqueness.
    Last edited by SlipEternal; Nov 16th 2017 at 09:55 AM.
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