I think this is a bug
Area @ Ellipsoid[{0, 0, 0}, {1, 2, 3}]
returns Infinity
in Mathematica 11.
Is there a way I can compute the surface area of an ellipsoid in Mathematica?
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Sign up to join this communityI think this is a bug
Area @ Ellipsoid[{0, 0, 0}, {1, 2, 3}]
returns Infinity
in Mathematica 11.
Is there a way I can compute the surface area of an ellipsoid in Mathematica?
In the documentation of Area
:
The area of a region of dimension three or higher is $\infty$:
For the surface area you can do:
Area @ RegionBoundary @ Ellipsoid[{0, 0, 0}, {1, 2, 3}]
π (2 + 8 Sqrt[2] EllipticE[ArcCos[1/3], 27/32] + Sqrt[2] EllipticF[ArcCos[1/3], 27/32])
Area
states "To get the surface area of a 3D region, use RegionBoundary"
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Aug 28, 2017 at 17:50
Area@Sphere[{0, 0, 0}, 1]
gives the correct surface area. Seems inconsistent, @BobHanlon.
$\endgroup$
RegionDimension[Sphere[{0, 0, 0}, 1]]
is 2, not 3. Ball
is the equivalent of Ellipsoid
.
$\endgroup$
Aug 28, 2017 at 18:46