## Max Glick - The pentagram map and Y-patterns

dmtcs:2920 - Discrete Mathematics & Theoretical Computer Science, January 1, 2011, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) - https://doi.org/10.46298/dmtcs.2920
The pentagram map and Y-patterns

Authors: Max Glick

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.

Volume: DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Section: Proceedings
Published on: January 1, 2011
Imported on: January 31, 2017
Keywords: pentagram map,cluster algebra,Y-pattern,alternating sign matrix,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Fundings :
Source : OpenAIRE Research Graph
• Algebraic Combinatorics; Funder: National Science Foundation; Code: 0555880
• EMSW21-RTG: Developing American Research Leadership in Algebraic Geometry and its Boundaries; Funder: National Science Foundation; Code: 0943832