Hi. I''m developing a script that generates the vertex coordinates and topology for general geodesic domes, so that''s ellipsoidal domes of any frequency based on any platonic solid in any of vertex-up, face-up and edge-up orientations. It''s called Dromedary and it lives here - emilyware.co.uk/Dromedary.php - if you''d like to have a play. It''s public domain so you''re free to use it how you like, though there''s no guarantee I''ve got it right!
Note that it currently just produces a list of vertex coordinates with topology in a couple of formats. You need to render the output separately to see what it looks like. It still needs work for you to take the output and build a dome from it, but I''m working on that.
Thanks Paul for letting me post this here. If you''re happy, I''d be pleased to take suggestions and comments, and update progress on this forum.
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Here you go, live link: Eliptical dome theory I'll take a closer look and get back to you on this....I'm away for a few days