Y -meshes and generalized pentagram maps

Max Glick, Pavlo Pylyavskyy

Research output: Contribution to journalConference articlepeer-review


We introduce a rich family of generalizations of the pentagram map sharing the property that each generates an infinite configuration of points and lines with four points on each line. These systems all have a description as Y -mutations in a cluster algebra and hence establish new connections between cluster theory and projective geometry.

Original languageEnglish (US)
Pages (from-to)169-180
Number of pages12
JournalDiscrete Mathematics and Theoretical Computer Science
StatePublished - 2015
Event27th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2015 - Daejeon, Korea, Republic of
Duration: Jul 6 2015Jul 10 2015

Bibliographical note

Funding Information:
†Partially supported by NSF grant DMS-1303482 ‡Partially supported by NSF grants DMS-1068169, DMS-1148634, DMS-1351590, and Sloan Fellowship

Publisher Copyright:
© 2015 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France


  • Cluster algebras
  • Discrete dynamical systems
  • Pentagram map


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