algorithmic modeling for Rhino
AS seen the Panels(geometry) skew at at both tip of sphere.
The problem with this solution is that the facets are not all the same shape and size. However, subdivision is generally the right direction - Complex, regular geometric forms like this one are usually derived from simpler polyhedral forms. There are a bunch of ways you could break down the form shown into the image, but the cleanest one I can see is a shape called a "snub dodecahedron"
If you place triangles in the pentagons as I've done, you can see that the shape inside each triangle is always the same.
Here's a definition that attempts to reproduce the shape shown. I apologize; it's a bit of a mess and relies on some custom user object clusters and plug ins (lunchbox, hdt utilities tree frog, I think that's all) to achieve the desired result. Also I just eyeballed the amount of rotation on the snub dodecahedron - you could probably use galapagos on the rotation parameter to get equilateral triangles. Please ask if there are any questions!
on further reflection, I don't think they actually are (or can be) identical if they're approximating a sphere. but perhaps you could get it down to two similar units? just speculating...
Andrew guess i m missing out somepluginn. what did u use for Tiling Snub Dodecahedron ?
Andrew i see so many cluster components :O . cant this get simpler . ..??
well i can use area to find center of each face and scale them how can i planar surface ?? is it having problem with duplicate edges ??
I get only few faces with that triangle removed after planar surfacing. what better ways can i do it ??