We know the solutions of geometrically form a regular decagon. It it possible to generate the solutions of (for example) by applying some type of symmetric group action on the decagon?

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- Nov 14th 2009, 11:43 PMSamprasnth roots of unity
We know the solutions of geometrically form a regular decagon. It it possible to generate the solutions of (for example) by applying some type of symmetric group action on the decagon?

- Nov 15th 2009, 12:03 AMJhevon
- Nov 15th 2009, 12:04 AMSampras
- Nov 15th 2009, 12:09 AMJhevon
Oh, well, I'd just interpret it as and apply the first geometric interpretation, perhaps using a change of variable to make it look like .

Anyway, geometrically what would happen is that instead of your solutions lying on the circle of radius 1 in the complex plane, they will lie on the circle of radius