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Unit squares intersecting all secants of a square
Valtr, Pavel ;  Universität <Berlin, Freie Universität> / Fachbereich Mathematik und Informatik

Main titleUnit squares intersecting all secants of a square
AuthorValtr, Pavel
InstitutionUniversität <Berlin, Freie Universität> / Fachbereich Mathematik und Informatik
No. of Pages8 S.
Series Freie Universität Berlin, Fachbereich Mathematik : Ser. B ; 92,11
Classification (DDC)004 Data processing and Computer science
AbstractLet S be a square of side length s > 0. We construct, for any sufficiently large s, a set of less than 1.994 s closed unit squares whose sides are parallel to those of S such that any straight line intersecting S intersects at least one square of S. It disproves L. Fejes Tòth's conjecture that, for integral s, there is no such configuration of less than 2s -1 unit squares.
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FU DepartmentDepartment of Mathematics and Computer Science
Other affiliation(s)Institut für Informatik
Year of publication1992
Type of documentWorking paper
LanguageEnglish
Terms of use/Rights Nutzungsbedingungen
Created at2009-03-10 : 01:33:04
Last changed2015-02-27 : 08:24:51
 
Static URLhttp://edocs.fu-berlin.de/docs/receive/FUDOCS_document_000000000996
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