Template:Associahedron K5
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Overview[edit]
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 
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Ovals | Parentheses | |
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| Vertices (and edges) |
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| Faces | 
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