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equally spaced points on a hypersphere? [message #41449]

Fri, 29 October 2004 07:51

robert.dimeo
Messages: 42
Registered: November 2001

Member

Hi,

I would like to create (n+1) equidistant points on an n-dimensional
sphere. The initial information provided is the center of the sphere,
the radius, and *any* point on the sphere. From that you need to find
the coordinates for the remaining n points. As a simple example,
three equidistant points on a 2-dimensional sphere (a circle), can be
located 120 degrees apart. Any hints on how to do this in general for
n-dimensions?

Thanks in advance!

Rob

P.S. This is for an extension to the Nelder-Mead downhill simplex
routine, AMOEBA.PRO.

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[Message index]

		equally spaced points on a hypersphere? By: robert.dimeo on Fri, 29 October 2004 07:51
		Re: equally spaced points on a hypersphere? By: robert.dimeo on Mon, 01 November 2004 05:34
		Re: equally spaced points on a hypersphere? By: jeyadev on Fri, 29 October 2004 11:00
		Re: equally spaced points on a hypersphere? By: James Kuyper on Fri, 29 October 2004 10:18
		Re: equally spaced points on a hypersphere? By: James Kuyper on Fri, 29 October 2004 10:24
		Re: equally spaced points on a hypersphere? By: James Kuyper on Fri, 29 October 2004 09:52
		Re: equally spaced points on a hypersphere? By: Craig Markwardt on Fri, 29 October 2004 09:40
		Re: equally spaced points on a hypersphere? By: tam on Fri, 29 October 2004 09:10
		Re: equally spaced points on a hypersphere? By: Matt Feinstein on Fri, 29 October 2004 08:53
		Re: equally spaced points on a hypersphere? By: Craig Markwardt on Fri, 29 October 2004 08:29
		Re: equally spaced points on a hypersphere? By: Matt Feinstein on Fri, 29 October 2004 08:16

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