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"Hellraiser" Equidistant point placement on a sphere

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I thought the old hellraiser pin head model would be a good frame of reference to this problem. I am in the middle of a project that will require items mounted on a large sphere, relatively equidistant apart.The reason I say relatively is this is actually not possible due to the fact the a sphere converges at both ends but it can be closely approximated with triangles. Isosceles triangles seem to be the simplest way to achieve this.


Threads I have looked into here:


GOLF - Gentleman Only, Ladies Forbidden?


Re: Reg: creating a pattern in sphere


https://support.ptc.com/appserver/cs/view/solution.jsp?n=CS177218


This support ticket seems to be spot on but I am not following the solution. #2 and #3 are not clear as to where the numbers are coming from.

The golf ball models are close but it seems most of the people used a very complex array of radial dimensions to triangulate the points. This is a very tedious operation and has no way to increase or decrease the density of the points. I have to think that I am missing something here. There is no way that that can possibly be the correct solution, is it? Using that method I created this:

ball.png

To change the density of points on this version will take hours. On the other hand, I was able to rapidly make one using patterns with points projected onto a surface as well:

pat.png

Though close, the seams are a total mess. I was really hoping that there was some cool "pattern" option in creo but it does not seem so. I hope my question is clear. I look forward to your help.


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