FromSphericalCoordinates

FromSphericalCoordinates[{r,θ,ϕ}]

gives the {x,y,z} Cartesian coordinates corresponding to the spherical coordinates {r,θ,ϕ}.

Details

Examples

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Basic Examples  (2)

Convert a general point:

A specific point:

Scope  (2)

Convert several points:

A matrix of points:

Properties & Relations  (5)

FromSphericalCoordinates checks that inputs obey the restrictions of spherical coordinates:

This point violates the condition on the polar angle :

Extract the symbolic transform from CoordinateTransformData to apply it to singular points:

The conversion back to spherical coordinates is not well defined:

FromSphericalCoordinates[pt] is a special case of CoordinateTransform:

FromSphericalCoordinates inverts ToSphericalCoordinates:

FromSphericalCoordinates[{x,y,z}] uses spherical coordinates about the axis:

FromPolarCoordinates[{x,y,z}] uses spherical coordinates about the axis:

The spherical coordinates used by FromPolarCoordinates generalize to higher dimensions:

FromSphericalCoordinates changes the coordinate values of points:

TransformedField changes the coordinate expressions for fields:

Wolfram Research (2015), FromSphericalCoordinates, Wolfram Language function, https://reference.wolfram.com/language/ref/FromSphericalCoordinates.html.

Text

Wolfram Research (2015), FromSphericalCoordinates, Wolfram Language function, https://reference.wolfram.com/language/ref/FromSphericalCoordinates.html.

CMS

Wolfram Language. 2015. "FromSphericalCoordinates." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FromSphericalCoordinates.html.

APA

Wolfram Language. (2015). FromSphericalCoordinates. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FromSphericalCoordinates.html

BibTeX

@misc{reference.wolfram_2025_fromsphericalcoordinates, author="Wolfram Research", title="{FromSphericalCoordinates}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/FromSphericalCoordinates.html}", note=[Accessed: 22-February-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_fromsphericalcoordinates, organization={Wolfram Research}, title={FromSphericalCoordinates}, year={2015}, url={https://reference.wolfram.com/language/ref/FromSphericalCoordinates.html}, note=[Accessed: 22-February-2025 ]}