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Proceedings of the American Mathematical Society

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A problem of Sallee on equidecomposable convex bodies


Author: R. J. Gardner
Journal: Proc. Amer. Math. Soc. 94 (1985), 329-332
MSC: Primary 52A10; Secondary 52A15
DOI: https://doi.org/10.1090/S0002-9939-1985-0784187-9
MathSciNet review: 784187
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Abstract: We show that equidecomposable planar convex bodies need not be convex equidecomposable. This answers a question of Sallee. We also show that convex and scissors equidecomposability are equivalent notions for convex bodies in the plane, and include a discussion of these concepts in higher dimensions.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0784187-9
Keywords: Convex body, equidecomposable, scissors equidecomposable, convex equidecomposable
Article copyright: © Copyright 1985 American Mathematical Society

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