In mathematics, an n-sphere or hypersphere is an n {\displaystyle n} -dimensional generalization of the 1 {\displaystyle 1} -dimensional circle and 2 {\displaystyle 2} -dimensional sphere to any non-negative integer n {\displaystyle n} . The circle is considered 1-dimensional and the sphere 2-dimensional because a point within them has one and two degrees of freedom respectively.
In mathematics, an n-sphere or hypersphere is an n {\displaystyle n} -dimensional generalization of the 1 {\displaystyle 1} -dimensional circle and 2 {\displaystyle 2} -dimensional sphere to any non-negative integer n {\displaystyle n} . The circle is considered 1-dimensional and the sphere 2-dimensional because a point within them has one and two degrees of freedom respectively.
Source: Wikipedia "N-sphere" · CC BY-SA 4.0
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