TILINGS OF THE SQUARE WITH SIMILAR RECTANGLES

Authors
LACZKOVICH M SZEKERES G
Citation
M. Laczkovich et G. Szekeres, TILINGS OF THE SQUARE WITH SIMILAR RECTANGLES, Discrete & computational geometry, 13(3-4), 1995, pp. 569-572
Citations number
3
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
3-4
Year of publication
1995
Pages
569 - 572
Database
ISI
SICI code
0179-5376(1995)13:3-4<569:TOTSWS>2.0.ZU;2-3
Abstract
Let R(u) denote the rectangle of sides u and 1. We prove that the squa re can be decomposed into finitely many rectangles similar to R(u) if and only if u is algebraic and each of its conjugates lies in the open half-plane Re(z) > 0.