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R^(1/2) Question, half dimension space meaning?

  1. Jan 27, 2016 #1
    1. The problem statement, all variables and given/known data
    I know some people use R to mean all numbers in only one dimension which span a line. R^2 meaning numbers with two dimensions that span a plane. R^3 meaning three dimensional numbers that span three dimensional space. I'm not really sure if I worded that correctly but I think you know what I'm saying. So what's the meaning/representation of R^(3/2) or other half dimensions? Where R^(3/2) is half way between R^1 and R^2. I was just wondering if this currently has any meaning or visualization of half a dimensional space.

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Jan 27, 2016 #2


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    Well, there's Hausdorff dimension. But it doesn't mean much in terms of number of coordinates. Is that what you are talking about?
  4. Jan 28, 2016 #3


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    Where did you see reference to R^(3/2)?
  5. Jan 28, 2016 #4


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    Fractional dimensions arise in chaos theory (fractals) but that's not in the same sense as you describe.
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