File:Tamari lattice, hexagons.svg

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Summary

Description The associahedron of order 4 (or K5), the Hasse diagram of the Tamari lattice of order 4,
with triangulated hexagons corresponding to binary trees
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Overview

The associahedron K5 has C4 = 14 vertices, 21 edges and T4−1 = 9 faces.
Each one of the faces corresponds to a 2-subset of {1,2,3,4,5} except {1,5}. Faces whose 2-subsets overlap do not touch.
(Overlap would mean that an element in one set is between the elements of the other, like with {1,3} and {2,4}.)
An edge or vertex corresponds to a set that contains the 2-subsets of the faces that meet in this edge or vertex.

Triangulated hexagons Binary trees Sets of 2-subsets Ovals Parentheses
Vertices
(and
edges)
Faces

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Date/TimeDimensionsUserComment
current15:56, 28 February 2014441 × 714 (238 KB)Watchduck{{Information |Description ={{en|1=upload forms suck}} |Source ={{own}} |Author =Mate2code |Date = |Permission = |other_versions = }}

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