Apple Surface


A surface of revolution defined by Kepler. It consists of more than half of a circular arc rotated about an axis passing through the endpoints of the arc. The equations of the upper and lower boundaries in the x-z plane are


for R>r and x in [-(r+R),r+R]. It is the outside surface of a spindle torus.

It is also a quartic surface given by Cartesian equation




See also

Bubble, Lemon Surface, Oblate Spheroid, Snake, Sphere-Sphere Intersection, Spindle Torus

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Cite this as:

Weisstein, Eric W. "Apple Surface." From MathWorld--A Wolfram Web Resource.

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