File:Associahedron K5 back.svg
Original file (SVG file, nominally 266 × 235 pixels, file size: 28 KB)
Captions
Summary
[edit]DescriptionAssociahedron K5 back.svg |
English: A polyhedron whose vertices corresponding to bracketings of a product of five factors, with edges corresponding to rebracketings, from (((ab)c)d)e to a(b(c(de))). |
Date | |
Source |
Own work First published at File:Associahedron_K5_back.png; updated here for svg |
Author | Nilesj |
Tikz Source
[edit]\begin{tikzpicture}[x=1.18mm,y=1mm,scale=1.6]
% node numbering is from Tamari's thesis
% parenthesization is reversed
% https://www.math.wustl.edu/~escobar/pdf/Olivetti2015.pdf
\tikzset{every node/.style={scale=.8}}
\tikzset{>=stealth}
\tikzset{mm/.style={execute at begin node=$\displaystyle, execute at end node=$}}
\draw[mm] %objects
(-7.3,-1.6) node (1120) {\cdot} %{((a(bc))d)e}
(7.3,-1.6) node (1210) {\cdot} %{(a((bc)d)))e}
(0,20) node (3010) {a((bc)(de))}
(0,-19) node (1201) {((ab)(cd))e}
(-16,1) node (2011) {((ab)c)(de)}
(16,1) node (2200) {a((b(cd))e)}
(-11.5,12) node (2020) {(a(bc))(de)}
(11.5,12) node (2110) {a(((bc)d)e)}
(-12,-11) node (1111) {(((ab)c)d)e}
(12,-11) node (1300) {(a(b(cd)))e}
(0,15) node (4000) {a(b(c(de)))}
(0,-5) node (2101) {(ab)((cd)e)}
(-5.5,5) node[transform canvas={xshift=2}] (3001) {(ab)(c(de))}
(5.5,5) node[transform canvas={xshift=-2}] (3100) {a(b((cd)e))}
;
\path[->,dashed, color=black!50!white]
(1111) edge (1120)
(1120) edge (1210)
(1210) edge (2110)
%
(1120) edge (2020)
(1210) edge (1300)
;
\path[->]
(2011) edge[shorten >=-1.8] (3001)
(2200) edge[shorten >=-1.8] (3100)
(1201) edge (2101)
(3010) edge (4000)
%
(2101) edge (3001)
(3001) edge (4000)
(2101) edge (3100)
(3100) edge (4000)
;
\path[->] %arrows
(2110) edge (3010)
(2020) edge (3010)
%
(1111) edge (1201)
(1201) edge (1300)
%
(1111) edge (2011)
(2011) edge (2020)
%
(1300) edge (2200)
(2110) edge (2200)
;
\end{tikzpicture}
Licensing
[edit]This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 22:40, 12 September 2020 | 266 × 235 (28 KB) | Nilesj (talk | contribs) | recompiled to clarify this is in the public domain; also slightly adjusted two arrows | |
20:14, 14 February 2019 | 268 × 238 (28 KB) | Omaranto (talk | contribs) | User created page with UploadWizard |
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Width | 212.805pt |
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Height | 188.143pt |