# User:Rschwieb

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$e^{i \pi\ }$ This user is a mathematician.
PhD This user has a Doctor of Philosophy degree in Mathematics.
 This user is a member of WikiProject Mathematics.
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 This user has been on Wikipedia for 7 years, 7 months, and 28 days.
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zh-2 該用戶能以一般的中文進行交流。 该用户能以一般的中文进行交流。
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## Interests

Ring and module theory, mathematical physics, representation theory, applications of abstract algebra.

## Contributed stuff

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## Questions

• Q1:In the Kissing number problem for three dimensions, I hadn't heard that there was extra space between the 12 spheres around the central sphere. Does anyone know if the radius of the surrounding spheres be uniformly increased so they are all mutually touching, while still touching the (unchanged) central sphere? If so what is this new radius?
• A1: If the radii of the surrounding spheres is r, then the central sphere has radius $r(\sqrt{1+\phi^2}-1)\,$.