球の表面積や体積計算で楽しんでいるKidsが私塾の老先生の下で超球について学んでいる。私は習ったことすらなし！２次元、３次元ならなんとかわかるが４，５，６次元になるとどうなるの？
２項定理の展開式のようなものか。(a + b)^6 = a^6 + .............+b^6
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Hyperspheres
zeta137.blogspot.jp
As reported in wikipedia: en.wikipedia.org/wiki/Hypersphere, a hypersphere is the set of points at a constant distance from a given point called its center.
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The "volume" of a hypersphere is given by:
where Γ denotes the gamma function.
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Clik here to view.The "surface area" is instead given by:
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The "surface area" is instead given by: Image may be NSFW.
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