Apple Surface -- from Wolfram MathWorld
- ️Weisstein, Eric W.
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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 
-
plane are
 |
(1) |
for 
and ![x in [-(r+R),r+R]](http://mathworld.wolfram.com/images/equations/AppleSurface/Inline4.svg)
. It is the outside surface of a spindle
torus.
It is also a quartic surface given by Cartesian equation
 |
(2) |
or
 |
(3) |
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. https://mathworld.wolfram.com/AppleSurface.html