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      The alternating group of degree 5 and the icosahedron rotations: seeing not only proving

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          Abstract

          When compared with pure mathematicians, applied ones have a clear preference for proofs that go beyond a chain of reasonings and do exhibit the fact to be proved. Here we exhibit the bijection between the 60 icosahedron rotations of the group R and the 60 permutations of the group A5.

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          Author and article information

          Journal
          2016-01-29
          Article
          1602.03732

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          20 Group Theory
          math.HO

          History & Philosophy

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