Name of a geometrical shape

  1. What is the geometrical shape called, when combining 3 ellipses together, such that each two share one focal point and together form a kind of 60 degree triangular shape?

    It will look similar to Reuleaux triangle, but it is not formed out of a triangle, but 3 ellipses, as if you are gluing one ellipse to each side of a triangle.

    thanks
    :approve:
     
  2. jcsd
  3. Found it!

    I think it is called a superellipse. I found a formula and an octave program on Wikipedia. The one I was looking for is the one with parameters "3 6 6 6", the table on the right side. The plot in octave also works by using the following command:
    Code (Text):

    sf2d([3 6 6 6],[1 1])
     
    anyway, thanks.
     
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