Grapher is a 2D and 3D graphing application that comes bundled in Mac OS X

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Grapher 3d intersection

I am trying to create a so called Möbius sphere. I is basically a have a sphere with x^2+y^2+z^2=1 and the forumla x^3+zx^2+z^2x+z^3-zy^2=0. I need to find the intersection between those to find just ...