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Thanks for the comments.
Actually, it really wasn't too hard (for me at least). It takes 48 pieces of paper, 30 of them small squares (they make up the sphere), and the rest long strips (for the pyramid and cube)
For those who feel like trying this out, I can give you a few hints:
1) The ball is made from phiZZ units. Look it up on Google.
2) The pyramid is part of a model called "5 intersecting tetrahedra" Look for "Tom Thull" on Google (he's a professor that does this stuff)
3) The cube is my own design, basically a variation on the pyramid. Play around with it.
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