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The mean of circumscribed polygons

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Abstract.

The mean of circumscribed polygons of a convex body in \(\Bbb R ^2\) 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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Authors and Affiliations

  1. Mathematisches Institut II, Universität Karlsruhe (TH), Enslerstr. 2, D-76128 Karlsruhe, Germany, , , , , , DE

    Wolfram Hinderer

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  1. Wolfram Hinderer
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Received: 27.11.1997

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Hinderer, W. The mean of circumscribed polygons. Arch. Math. 72, 153–160 (1999). https://doi.org/10.1007/s000130050316

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  • DOI: https://doi.org/10.1007/s000130050316

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