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Sphere with Equally Spaced Holes

Sphere with Equally Spaced Holes

Sphere with Equally Spaced Holes

(OP)
I'm trying to create a sphere with small holes in it that are equally spaced. In essence, I'm looking for a circular pattern but in 3 dimensions. Any suggestions?

RE: Sphere with Equally Spaced Holes

Eltron's approach works, but the hard part will be getting the spaces actually even. My spherical geometry node seems to have expired . . .
What is the math for the solution for some number of features equally spaced on a sphere? http://en.wikipedia.org/wiki/Sphere_packing gives a clue. Each contact point represents the location for an equally spaced feature on the sphere. You could then pattern that pattern somehow to create the feature density you want.
"assume a spherical cow"
 

--
Hardie "Crashj" Johnson
SW 2008 SP4
Nvidia Quadro FX 1000
AMD Athalon 1.8 GHz 2 Gig RAM

 

RE: Sphere with Equally Spaced Holes

In thread559-184969: Icosahedron, rfus mentioned a macro he developed for equi-spaced points on a sphere. I believe he posted it, but I am unable to find it.

Hopefully he will see this and respond.

cheers

RE: Sphere with Equally Spaced Holes

redsoc,

CorBlimeyLimey asked me about this and I'll try to offer some help. Plus, you have a good handle.

Fejes Tóth is the man who first solved this problem.

This is a huge problem, and I am by no means came up with the solution to it. Some things I must keep, but my macro leveraged the following.

It was solved in MATLAB by Paul Leopardi. If you have MATLAB it can be obtained, and used.  http://eqsp.sourceforge.net/

I did a lot of math and programming in engineering school, but this is a really hard problem I just found a way to put together his work, and the work done from the point import macro, and I have yet to get a delaunay macro that was posted in the SW forums into the whole thing.

If you want to see how complicated of a problem it really is, check the PHD paper he did on it in 07.
http://wwwmaths.anu.edu.au/~leopardi/Leopardi-Sphere-PhD-Thesis.pdf

rfus

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