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File:Associahedron K5 faces, ovals.svg

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Summary

Description Faces of the associahedron of order 4 labelled with ovals
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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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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702 pixel

504 pixel

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Date/TimeThumbnailDimensionsUserComment
current23:09, 23 November 2013Thumbnail for version as of 23:09, 23 November 2013504 × 702 (51 KB)Watchduck{{Information |Description ={{en|1=Upload forms suck.}} |Source ={{own}} |Author =Mate2code |Date = |Permission = |other_versions = }}

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