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Proving no simplex has 2-fold symmetry

  1. May 2, 2012 #1
    Heck, I don't even know if this is true. Intuition seems to suggest that it is but I know of no way to prove it. In general I don't know of any way to rigorously determine axes of symmetry. And I am having trouble finding anything about this, so any links are appreciated.
  2. jcsd
  3. May 3, 2012 #2
    Is there something unclear/asinine about my question? I fear it may be a little vague.
  4. May 3, 2012 #3


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    It is a bit vague. If you allow reflections through arbitrary points, then most simplices have reflection symmetry. Ex: reflection through the midpoint of a 1-simplex. If you have something else in mind, then you should state it more clearly.
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