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Pentaspherical Space


The set of all points x that can be put into one-to-one correspondence with sets of essentially distinct values of five homogeneous coordinates x_0:x_1:x_2:x_3:x_4, not all simultaneously zero, which are connected by the relation

 x·x=x_0^2+x_1^2+x_2^2+x_3^2+x_4^2=0.

See also

Tetracyclic Plane

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References

Coolidge, J. L. "Pentaspherical Space." Ch. 7 in A Treatise on the Geometry of the Circle and Sphere. New York: Chelsea, pp. 282-305, 1971.

Referenced on Wolfram|Alpha

Pentaspherical Space

Cite this as:

Weisstein, Eric W. "Pentaspherical Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PentasphericalSpace.html

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