What is the name of the shape formed by combining 3 ellipses together?

[xaratustra]

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

 

[xaratustra]

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:

sf2d([3 6 6 6],[1 1])

anyway, thanks.