File:Axiom TR4 (polyhedron).svg

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Axiom_TR4_(polyhedron).svg‎ (SVG file, nominally 188 × 246 pixels, file size: 53 KB)

[edit] LaTeX source

\documentclass{amsart}
\usepackage{amsmath,amssymb,nopageno}
\usepackage[all]{xy}
\begin{document}
\begin{equation*}
\xymatrix@=5em{
& Y' \ar@{-->}[dr]^g \ar[ddl]^(0.65){[1]} & \\
Z' \ar@{-->}[ur]^f \ar[d]_{[1]} & &
    X' \ar[ll]_{j[1] \circ i}^{[1]}|(0.25)\hole|(0.75)\hole
       \ar[ddl]_(0.4)i^(0.4){[1]}|(0.25)\hole|(0.5)\hole \\
X \ar[rr]^{v \circ u} \ar[dr]_u & &
    Z \ar[u] \ar[uul]\\
& Y \ar[ur]_v \ar[uul]_(0.6)j|(0.5)\hole|(0.75)\hole &
}
\end{equation*}
\end{document}

[edit] Summary

Description

A polyhedral depiction of axiom TR4 of a triangulated category.
Date

14 January 2009(2009-01-14)
Source

I created this work entirely by myself.
Author

Ryan Reich (talk)
Permission
(Reusing this image)		 See below.
Other versions File:Octahedral diagram.jpg, w:File:Axiom TR4 (polyhedron).svg

[edit] Licensing

Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current05:39, 14 January 2009Thumbnail for version as of 05:39, 14 January 2009188×246 (53 KB)Ryan Reich (Talk | contribs) (== LaTeX source == <pre> \documentclass{amsart} \usepackage{amsmath,amssymb,nopageno} \usepackage[all]{xy} \begin{document} \begin{equation*} \xymatrix@=5em{ & Y' \ar@{-->}[dr]^g \ar[ddl]^(0.65){[1]} & \\ Z' \ar@{-->}[ur]^f \ar[d]_{[1]} & & X' \ar[ll])

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