The vertices of the platonic solids are tight frames

Richard Vale and Shayne Waldron


Abstract:


Here we give a simple proof that many highly symmetric configurations of vectors, such as the n-th roots of unity in R^2 and the vertices of the platonic solids in R^3, are tight frames.


Keywords: Tight frames, vertices of the platonic solids

Math Review Classification: Primary 05B20, 33C50, 20C15, 42C15 ; Secondary 52B15, 42C40

Length: 4 pages

Last Updated: 2 February 2004


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