A catalogue of simplicial arrangements in the real projective plane

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A catalogue of simplicial arrangements in the real projective plane

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dc.contributor.author Grünbaum, Branko
dc.date.accessioned 2006-01-04T18:24:09Z
dc.date.available 2006-01-04T18:24:09Z
dc.date.issued 2005
dc.identifier.uri http://hdl.handle.net/1773/2269
dc.description.abstract An arrangement is the complex generated in the real projective plane by a family of straight lines that do not form a pencil. The faces of an arrangement are the connected components of the complement of the set of lines generating the arrangement. An arrangement is simplicial if all faces are triangles. Simplicial arrangements were first introduced by E. Melchior in 1941; the only existing extensive account appeared in a paper published by Grunbaum in 1971. The interest in these arrangements is due to their relevance to many extremal problems. The present paper is a complete and illustrated survey of the three known infinite families of simplicial arrangements, and the 90 known sporadic ones. en
dc.format.extent 211340 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.subject Arrangement en
dc.subject Simplicial arrangement en
dc.title A catalogue of simplicial arrangements in the real projective plane en
dc.type Article en


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