[seqfan] Re: n-sphere constants

Robert Munafo mrob27 at gmail.com
Mon Feb 11 05:17:42 CET 2013


I remember solving the N-sphere volume for about the first 8
dimensions in high school (on paper). Half of them are a lot harder (I
think it required trigonometric substitution) but it was fun. (-: I
loved the fact that you get another power of pi only on the even
dimensions. It seemed so mysterious.

On 2/10/13, Neil Sloane <njasloane at gmail.com> wrote:
> The formulas for those two constants involve pi^(n/2) and (n/2)! - see
> my book with Conway, Sphere Packings, Lattices and Groups, page 9.
>
> [...]
>> From: John W. Nicholson
>>
>> The following is from "The Tau Manifesto" section 5:
>> "The generalization of a circle to arbitrary dimensions, called a
>> hypersphere or an n-sphere."

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