comp.lang.idl-pvwave archive: archive » equally spaced points on a hypersphere?

Home » Public Forums » archive » equally spaced points on a hypersphere?

Show: Today's Messages :: Show Polls :: Message Navigator
E-mail to friend

Re: equally spaced points on a hypersphere? [message #41540 is a reply to message #41449]

Fri, 29 October 2004 09:40

Craig Markwardt
Messages: 1869
Registered: November 1996

Senior Member

Matt Feinstein <nospam@here.com> writes:
>
> I think that if 'equidistant' means that each point has the same
> relation to -every- neighboring point, then it implies that the points
> lie on a regular polyhedron.

Hmm, but consider a soccer ball (truncated icosahedron). The faces
are not all regular, and yet the nearest neighbors are all
equidistant, no?

> In any case, a lowest energy
> configuration may only be a local minimum with respect to small
> variations of the positions of the points, so the global properties of
> such a minimum are not necessarily unique.

I think if one uses a 1/r^2 potential, then there is a single global
minimum. I guess it's possible for the iterator program to get stuck
elsewhere.

Craig

--
------------------------------------------------------------ --------------
Craig B. Markwardt, Ph.D. EMAIL: craigmnet@REMOVEcow.physics.wisc.edu
Astrophysics, IDL, Finance, Derivatives | Remove "net" for better response
------------------------------------------------------------ --------------

Report message to a moderator

[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

Previous Topic:	Re: Complex arguments in Bessel functions
Next Topic:	Re: idlhelp copy and paste problem

-=] Back to Top [=-

[ Syndicate this forum (XML) ] [

] [

]

Current Time: Sun Oct 12 09:47:30 PDT 2025

Total time taken to generate the page: 0.79694 seconds