Dissection Problem

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, a dissection problem is the problem of partitioning a geometric figure (such as a polytope or ball) into smaller pieces that may be rearranged into a new figure of equal content. In this context, the partitioning is called simply a dissection (of one polytope into another). It is usually required that the dissection use only a finite number of pieces. The Bolyai-Gerwien theorem states that any polygon may be dissected into any other polygon of the same area. It is not true, however, that any polyhedron has a dissection into any other polyhedron of the same volume. This process is possible, however, for any two zonohedra of equal volume.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131256059
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131256059
    • Format Fachbuch
    • Titel Dissection Problem
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 76
    • Genre Mathematik

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