Authors
Citation
C. Freiling et al., RECTANGLING A RECTANGLE, Discrete & computational geometry, 17(2), 1997, pp. 217-225
Citations number
8
Categorie Soggetti
Computer Sciences, Special Topics","Mathematics, General","Computer Science Theory & Methods",Mathematics
Journal title
ISSN journal
01795376
Volume
17
Issue
2
Year of publication
1997
Pages
217 - 225
Database
ISI
SICI code
0179-5376(1997)17:2<217:RAR>2.0.ZU;2-D
Abstract
We show that the following are equivalent: (i) A rectangle of eccentri
city upsilon can be tiled using rectangles of eccentricity u. (ii) The
re is a rational function with rational coefficients, Q(z), such that
upsilon = Q(u) and Q maps each of the half-planes {z \ Re(z) < 0} and
{z \ Re(z) > 0} into itself. (iii) There is an odd rational function w
ith rational coefficients, Q(z), such that upsilon = Q(u) and all root
s of upsilon = Q(z) have a positive real part.