Decomposition of convex figures into similar pieces |
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| Authors: | M Laczkovich |
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| Institution: | 1. Department of Analysis, E?tv?s Loránd University, Múzeum krt 6-8, 1088, Budapest, Hungary
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| Abstract: | If a convex plane figureP can be decomposed into finitely many nonoverlapping convex figures such that one of these pieces is similar toP, thenP is a polygon. Also, ifP can be decomposed into infinitely many nonoverlapping sets such that each of the pieces is similar toP, thenP is a polygon. |
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