File:Tamari lattice, trees, with face labels.svg
Original file (SVG file, nominally 504 × 710 pixels, file size: 125 KB)
Captions
Summary
[edit]DescriptionTamari lattice, trees, with face labels.svg |
The associahedron of order 4 (or K5), the Hasse diagram of the Tamari lattice of order 4, with binary trees The knots of the trees correspond to the 2-subsets. |
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Permission (Reusing this file) |
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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 | Ovals | Parentheses | |
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Vertices (and edges) |
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Faces |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 08:47, 27 October 2021 | 504 × 710 (125 KB) | Watchduck (talk | contribs) | correction of the two face labels on the back | |
16:18, 13 December 2015 | 504 × 710 (126 KB) | Watchduck (talk | contribs) | {{Information |Description ={{en|1=upload forms suck}} |Source ={{own}} |Author ={{Watchduck}} |Date = |Permission = |other_versions = }} |
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File usage on Commons
The following 10 pages use this file:
- File:Associahedron K5 faces, 2-subsets.svg
- File:Associahedron K5 faces, ovals.svg
- File:Tamari lattice, 2-subsets.svg
- File:Tamari lattice, hexagons.svg
- File:Tamari lattice, ovals.svg
- File:Tamari lattice, trees, with face labels.svg
- File:Tamari lattice, trees.svg
- File:Tamari lattice.svg
- Template:Associahedron K5
- Category:Tamari lattice T4 Hasse diagrams
Metadata
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Width | 503.8685 |
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Height | 710.1571 |