Minkowski problem for polytopes (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Minkowski problem for polytopes" in English language version.

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ams.org

mathscinet.ams.org

  • Klain, Daniel A. (2004), "The Minkowski problem for polytopes", Advances in Mathematics, 185 (2): 270–288, doi:10.1016/j.aim.2003.07.001, MR 2060470
  • Grünbaum, Branko (2003), "15.3 Blaschke Addition", Convex Polytopes, Graduate Texts in Mathematics, vol. 221 (2nd ed.), New York: Springer-Verlag, pp. 331–337, doi:10.1007/978-1-4613-0019-9, ISBN 0-387-00424-6, MR 1976856
  • Alexandrov, Victor (2004), "Minkowski-type and Alexandrov-type theorems for polyhedral herissons", Geometriae Dedicata, 107: 169–186, arXiv:math/0211286, doi:10.1007/s10711-004-4090-3, MR 2110761
  • Alexandrov, A. D. (2005), Convex Polyhedra, Springer Monographs in Mathematics, Berlin: Springer-Verlag, ISBN 3-540-23158-7, MR 2127379; see in particular Chapter 6, Conditions for Congruence of Polyhedra with Parallel Faces, pp. 271–310, and Chapter 7, Existence Theorems for Polyhedra with Prescribed Face Directions, pp. 311–348

arxiv.org

doi.org

  • Klain, Daniel A. (2004), "The Minkowski problem for polytopes", Advances in Mathematics, 185 (2): 270–288, doi:10.1016/j.aim.2003.07.001, MR 2060470
  • Grünbaum, Branko (2003), "15.3 Blaschke Addition", Convex Polytopes, Graduate Texts in Mathematics, vol. 221 (2nd ed.), New York: Springer-Verlag, pp. 331–337, doi:10.1007/978-1-4613-0019-9, ISBN 0-387-00424-6, MR 1976856
  • Alexandrov, Victor (2004), "Minkowski-type and Alexandrov-type theorems for polyhedral herissons", Geometriae Dedicata, 107: 169–186, arXiv:math/0211286, doi:10.1007/s10711-004-4090-3, MR 2110761