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Hypersphere -- from Wolfram MathWorld

The n-hypersphere (often simply called the n-sphere) is a generalization of the circle (called by geometers the 2-sphere) and usual sphere (called by geometers the 3-sphere) to dimensions n>=4. The n-sphere is therefore defined (again, to a geometer; see below) as the set of n-tuples of points (x_1, x_2, ..., x_n) such that x_1^2+x_2^2+...+x_n^2=R^2, (1) where R is the radius of the hypersphere. Unfortunately, geometers and topologists adopt incompatible conventions for the meaning of...



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Hypersphere -- from Wolfram MathWorld

https://mathworld.wolfram.com/Hypersphere.html

The n-hypersphere (often simply called the n-sphere) is a generalization of the circle (called by geometers the 2-sphere) and usual sphere (called by geometers the 3-sphere) to dimensions n>=4. The n-sphere is therefore defined (again, to a geometer; see below) as the set of n-tuples of points (x_1, x_2, ..., x_n) such that x_1^2+x_2^2+...+x_n^2=R^2, (1) where R is the radius of the hypersphere. Unfortunately, geometers and topologists adopt incompatible conventions for the meaning of...



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https://mathworld.wolfram.com/Hypersphere.html

Hypersphere -- from Wolfram MathWorld

The n-hypersphere (often simply called the n-sphere) is a generalization of the circle (called by geometers the 2-sphere) and usual sphere (called by geometers the 3-sphere) to dimensions n>=4. The n-sphere is therefore defined (again, to a geometer; see below) as the set of n-tuples of points (x_1, x_2, ..., x_n) such that x_1^2+x_2^2+...+x_n^2=R^2, (1) where R is the radius of the hypersphere. Unfortunately, geometers and topologists adopt incompatible conventions for the meaning of...

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      Hypersphere -- from Wolfram MathWorld
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      The n-hypersphere (often simply called the n-sphere) is a generalization of the circle (called by geometers the 2-sphere) and usual sphere (called by geometers the 3-sphere) to dimensions n>=4. The n-sphere is therefore defined (again, to a geometer; see below) as the set of n-tuples of points (x_1, x_2, ..., x_n) such that x_1^2+x_2^2+...+x_n^2=R^2, (1) where R is the radius of the hypersphere. Unfortunately, geometers and topologists adopt incompatible conventions for the meaning of...
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      The n-hypersphere (often simply called the n-sphere) is a generalization of the circle (called by geometers the 2-sphere) and usual sphere (called by geometers the 3-sphere) to dimensions n>=4. The n-sphere is therefore defined (again, to a geometer; see below) as the set of n-tuples of points (x_1, x_2, ..., x_n) such that x_1^2+x_2^2+...+x_n^2=R^2, (1) where R is the radius of the hypersphere. Unfortunately, geometers and topologists adopt incompatible conventions for the meaning of...

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      Hypersphere -- from Wolfram MathWorld
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      The n-hypersphere (often simply called the n-sphere) is a generalization of the circle (called by geometers the 2-sphere) and usual sphere (called by geometers the 3-sphere) to dimensions n>=4. The n-sphere is therefore defined (again, to a geometer; see below) as the set of n-tuples of points (x_1, x_2, ..., x_n) such that x_1^2+x_2^2+...+x_n^2=R^2, (1) where R is the radius of the hypersphere. Unfortunately, geometers and topologists adopt incompatible conventions for the meaning of...

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      The n-hypersphere (often simply called the n-sphere) is a generalization of the circle (called by geometers the 2-sphere) and usual sphere (called by geometers the 3-sphere) to dimensions n>=4. The n-sphere is therefore defined (again, to a geometer; see below) as the set of n-tuples of points (x_1, x_2, ..., x_n) such that x_1^2+x_2^2+...+x_n^2=R^2, (1) where R is the radius of the hypersphere. Unfortunately, geometers and topologists adopt incompatible conventions for the meaning of...
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