Page 2 of 2 FirstFirst 12
Results 16 to 16 of 16
Like Tree3Thanks

Thread: N-dimensional hypercubes

  1. #16
    MHF Contributor
    Joined
    Nov 2010
    Posts
    3,110
    Thanks
    1191

    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.
    Follow Math Help Forum on Facebook and Google+

Page 2 of 2 FirstFirst 12

Similar Math Help Forum Discussions

  1. dimensional analysis
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: Apr 22nd 2012, 07:02 PM
  2. Dimensional
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: Nov 30th 2010, 06:07 PM
  3. Formula of a Three-Dimensional Ray
    Posted in the Geometry Forum
    Replies: 4
    Last Post: Jun 26th 2010, 02:00 PM
  4. Replies: 1
    Last Post: Feb 25th 2010, 02:15 AM
  5. A one dimensional...
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Jul 22nd 2006, 12:18 AM

Search Tags


/mathhelpforum @mathhelpforum