Following your question about 270 sonobe ball and Meenakshi's reply, I would like to add one more buckyballl https://www.flickr.com/photos/dasssa/3362966571/ constructed from paper strips by knotology. It's basically the same to how 270 sonobe ball should look like. The pentagonal regions can be pushed in as in my sphere or pulled out (as in Meenakshi's example).
All the best, Dasa Severova
