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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

3 votes

Do unit quaternions at vertices of a regular 4-simplex, one being 1, generate a free group?

Have you seen the preprint by Adrian Ocneanu? It has been available since May 13; he has these proofs worked out in full detail. See http://arxiv.org/abs/1505.03248.
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