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The mean of circumscribed polygons |
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| Authors: | Wolfram Hinderer |
| Institution: | Mathematisches Institut II, Universit?t Karlsruhe (TH), Enslerstr. 2, D-76128 Karlsruhe, Germany, DE |
| Abstract: | The mean of circumscribed polygons of a convex body in \Bbb R 2\Bbb R ^2 is again a convex body. The corresponding mapping of convex bodies is an endomorphism, and we characterize the injective case. It is shown that this endomorphism is almost always injective. |
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