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The pentagram map and Y-patterns
- Source :
- Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AO,..., Iss Proceedings (2011)
- Publication Year :
- 2011
- Publisher :
- Discrete Mathematics & Theoretical Computer Science, 2011.
-
Abstract
- The pentagram map, introduced by R. Schwartz, is defined by the following construction: given a polygon as input, draw all of its ``shortest'' diagonals, and output the smaller polygon which they cut out. We employ the machinery of cluster algebras to obtain explicit formulas for the iterates of the pentagram map.
Details
- Language :
- English
- ISSN :
- 13658050
- Volume :
- DMTCS Proceedings vol. AO,...
- Issue :
- Proceedings
- Database :
- Directory of Open Access Journals
- Journal :
- Discrete Mathematics & Theoretical Computer Science
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.973f88c741cc4c49b73e627338259dcb
- Document Type :
- article
- Full Text :
- https://doi.org/10.46298/dmtcs.2920