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A Problem of Sallee on Equidecomposable Convex Bodies
R. J. Gardner
Proceedings of the American Mathematical Society
Vol. 94, No. 2 (Jun., 1985), pp. 329-332
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2045399
Page Count: 4
You can always find the topics here!Topics: Scissors, Line segments, Geometric planes, Polygons, Homeomorphism, Mathematical problems, Mathematical theorems, Mathematical congruence, Topological theorems, Rotating bodies
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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.
Proceedings of the American Mathematical Society © 1985 American Mathematical Society