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Glome

A glome is a hypersphere of intrinsic dimension 3, or a 3-sphere, in four-dimensional Euclidean space (Agboola et al. 2015, p. 084114-1). When centered at the origin, it is given by

x^2+y^2+z^2+w^2=r^2,

where r>0 is its radius. The ordinary sphere in three-dimensional Euclidean space is a 2-sphere. The term derives from the Latin "glomus" meaning "ball of string" (Whitney 1889-1891, p. 2542).

See also

Ball, Closed Ball, Hypersphere, Open Ball, Sphere

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References

Agboola, D.; Knol, A. L.; Gill, P. M. W.; and Loos, P.-F. "Uniform Electron Gases. III. Low-Density Gases on Three-Dimensional Spheres." J. Chem. Phys. 143, 084114, 2015. https://doi.org/10.1063/1.4929353.Whitney, W. D. (Ed.). The Century Dictionary: An Encyclopedic Lexicon of the English Language. New York: Century Co., p. 2542, 1889-1891.

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Glome

Cite this as:

Weisstein, Eric W. "Glome." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Glome.html

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