Associahedron

개요

• 정다각형의 삼각형 분할과 관련된 단체 복체 (simplicial complex)
• 정n각형에 대응되는 (n-3)차원 단체 복체
  • vertex - 정n각형의 대각선
  • face - 정n각형의 삼각형 분할

예

정육각형의 삼각형 분할

• associahedron은 3차원 단체 복체
  • vertex 9
  • edge 21
  • face 14

메모

• http://www.cs.bsu.edu/homepages/fischer/math215/associahedron.html
• http://www.math.kochi-u.ac.jp/hemmi/kenkyuu/polytope.html

수학용어번역

• associat - 대한수학회 수학용어집

expositions

• Bill Casselman, Strange Associations http://www.ams.org/samplings/feature-column/fcarc-associahedra
• J-L Loday, The Multiple Facets of the Associahedron http://www.claymath.org/programs/outreach/academy/LectureNotes05/Lodaypaper.pdf
• Ziegler´s Lecture on the Associahedron

articles

• Hohlweg, Christophe, and Carsten E. M. C. Lange. 2007. “Realizations of the Associahedron and Cyclohedron.” Discrete & Computational Geometry 37 (4) (May 1): 517–543. doi:http://dx.doi.org/10.1007/s00454-007-1319-6.
• Lee, Carl W. 1989. “The Associahedron and Triangulations of the \(n\)-gon.” European Journal of Combinatorics 10 (6): 551–560. https://www.math.ucdavis.edu/~deloera/MISC/BIBLIOTECA/trunk/LeeCarl/leeassociahedron.pdf