DECOMPOSITION OF CONVEX FIGURES INTO SIMILAR PIECES

Authors
LACZKOVICH M
Citation
M. Laczkovich, DECOMPOSITION OF CONVEX FIGURES INTO SIMILAR PIECES, Discrete & computational geometry, 13(2), 1995, pp. 143-148
Citations number
1
Categorie Soggetti
Computer Sciences, Special Topics","Mathematics, General","Computer Science Theory & Methods",Mathematics
Journal title
Discrete & computational geometry → ACNP
ISSN journal
01795376
Volume
13
Issue
2
Year of publication
1995
Pages
143 - 148
Database
ISI
SICI code
0179-5376(1995)13:2<143:DOCFIS>2.0.ZU;2-X
Abstract
If a convex plane figure P can be decomposed into finitely many nonove rlapping 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 man y nonoverlapping sets such that each of the pieces is similar to P, th en P is a polygon.