Re: 4 large dimensions

Posted by AlexanderS1 on July 25, 19101 at 17:20:04:

In Reply to: Re: 4 large dimensions posted by DickT on July 23, 19101 at 07:33:37:

NOooOoO I HATE this MESSAGING SYSTEM!!!! IT DELETED MY POST TWICE BECAUSE I DID NOT WRITE MY ALIAS CORRECTLY!! THIS WAS A LOT OF WORK! DARN IT! The general conclusion, however, was:

I used DickT's approach to derive these expressions, unproved, but working:

Even-dimensional sphere

(PiR)^D/(factorial:D)

Odd dimensional sphere

2^[(D+1)/2) * pi^(D-1) * R^D / [(D)(D-2)(D-4)..]

where the latter sequence ends with 1. I believe the expression for this is 'double factorial' but I have never liked it due to the confusion with (x!)!. The odd dimensional formula is paticularly nice since it even works for d = 1, giving 2R.

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• Re: 4 large dimensions -- AlexanderS1 7/25/101 (1)
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