LACZKOVICH, M; (1995) DECOMPOSITION OF CONVEX FIGURES INTO SIMILAR PIECES. DISCRETE COMPUT GEOM , 13 (2) 143 - 148.
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If a convex plane figure P can be decomposed into finitely many nonoverlapping convex figures such that one of these pieces is similar to P, then P is a polygon. Also, if P can be decomposed into infinitely many nonoverlapping sets such that each of the pieces is similar to P, then P is a polygon.
|Title:||DECOMPOSITION OF CONVEX FIGURES INTO SIMILAR PIECES|
|UCL classification:||UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics|
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