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The convex floating body of almost polygonal bodies

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Abstract

We determine the difference volume of K and its convex floating body K δ for convex bodies in R 2 that are almost polygons. We investigate some properties of the function vol d (K\K δ).

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References

  1. Bárány, I. and Larman, D. G., ‘Convex bodies, economic cap covering, random polytopes’, Mathematika 35 (1988), 274–291.

    Google Scholar 

  2. Meyer, M. and Reisner, S., ‘A geometric property of the boundary of symmetric convex bodies and convexity of floatation surfaces’, Geom. Dedicata 37 (1991), 327–337.

    Google Scholar 

  3. Leichtweiss, K., ‘Über eine Formel Blaschkes zur Affinoberfläche’, Studia Sci. Math. Hung. 21 (1987), 453–474.

    Google Scholar 

  4. Schmuckenschläger, M., Notes.

  5. Schütt, C., ‘The convex floating body and polyhedral approximation’, Israel J. Math. 73 (1991), 65–77.

    Google Scholar 

  6. Schütt, C. and Werner, E., ‘The convex floating body’, Math. Scand. 66 (1990), 275–290.

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Mathematics, Oklahoma State University, Stillwater, Oklahoma, U.S.A.

    Cartest Schütt

  2. Mathematisches Seminar, Christian-Albrechts-Universität, Kiel, Germany

    Cartest Schütt

  3. Dept. of Mathematics, Case Western Reserve University, Cleveland, Ohio, U.S.A.

    Elisabeth Werner

  4. UFR de Mathématiques, Université de Lille Flandres Artois, Villeneuve d'Ascq, France

    Elisabeth Werner

Authors
  1. Cartest Schütt
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  2. Elisabeth Werner
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Additional information

The first author was supported by NSF grant DMS 8902327 and the second by NSF grant DMS 8915893.

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Schütt, C., Werner, E. The convex floating body of almost polygonal bodies. Geom Dedicata 44, 169–188 (1992). https://doi.org/10.1007/BF00182948

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  • DOI: https://doi.org/10.1007/BF00182948

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