The Art of Mathematics

Symmetries in 3 and 4 Dimensions


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Joseph Bennish joins us once again to continue his discussion of symmetry, this time venturing into higher dimensions. We explore the complex symmetry groups of the Platonic solids and the sphere and their relationships. We then venture into the 4th dimension, where we see that, with a change to the distance the symmetries are maintaining, we get Einstein's Theory of Relativity.

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The Art of MathematicsBy Carol Jacoby

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