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| Unit squares intersecting all secants of a square Valtr, Pavel ; Universität <Berlin, Freie Universität> / Fachbereich Mathematik und Informatik |
| Main title | Unit squares intersecting all secants of a square |
| Author | Valtr, Pavel |
| Institution | Universität <Berlin, Freie Universität> / Fachbereich Mathematik und Informatik |
| No. of Pages | 8 S. |
| Series | Freie Universität Berlin, Fachbereich Mathematik : Ser. B ; 92,11 |
| Classification (DDC) | 004 Data processing and Computer science |
| Abstract | Let 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 Department | Department of Mathematics and Computer Science |
| Other affiliation(s) | Institut für Informatik |
| Year of publication | 1992 |
| Type of document | Working paper |
| Language | English |
| Terms of use/Rights | Nutzungsbedingungen |
| Created at | 2009-03-10 : 01:33:04 |
| Last changed | 2015-02-27 : 08:24:51 |
| Static URL | http://edocs.fu-berlin.de/docs/receive/FUDOCS_document_000000000996 |
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