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Volume in n dimensions

  1. Dec 24, 2015 #1
    Surfing across the internet, I learnt that the volume of a sphere in n dimensions can be expressed by
    V(n) = (Π^(n/2)) / Γ((n/2)+1),
    where n is the number of dimensions we are considering
    But if we consider n=0, then we get 1. So, how do we interpret this? I mean what does volume in zero dimensions mean?
    Thanks in advance :smile:
  2. jcsd
  3. Dec 24, 2015 #2
    I am not an expert in this topic. If you want a simple answer, you can read Wikipedia, n-sphere
  4. Dec 24, 2015 #3


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    Gold Member

    Yes, this seems to be a matter of computing the Hausdorff 0-dimensional measure which coincides with the number of points. See the formula in the article quoted in the above post.
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