A problem of Sallee on equidecomposable convex bodies
Author:
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.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/1985-094-02/S0002-9939-1985-0784187-9/S0002-9939-1985-0784187-9.pdf
Reference4 articles.
1. S. Banach and A. Tarski, Sur la décomposition des ensembles de points en parties respectivement congruentes, Fund. Math. 6 (1924), 244-277.
2. Scissor congruence;Dubins, Lester;Israel J. Math.,1963
3. Research Problems: Are Equidecomposable Plane Convex Sets Convex Equidecomposable?;Sallee, G. T.;Amer. Math. Monthly,1969
4. Encyclopedia of Mathematics and its Applications;Wagon, Stan,1985
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