(Q4641575)

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6-sphere coordinates

3d coordinate system created by inverting the Cartesian coordinates across the unit sphere

six-sphere coordinates

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Statements

orthogonal coordinate system

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defining formula

{\begin{aligned}u&={\frac {x}{x^{2}+y^{2}+z^{2}}}\\v&={\frac {y}{x^{2}+y^{2}+z^{2}}}\\w&={\frac {z}{x^{2}+y^{2}+z^{2}}}\end{aligned}}

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WikiProject Mathematics

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6-SphereCoordinates

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imported from Wikimedia project

English Wikipedia

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