File:Axiom TR4 (polyhedron).svg
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Size of this PNG preview of this SVG file: 188 × 246 pixels. Other resolutions: 183 × 240 pixels | 367 × 480 pixels | 587 × 768 pixels | 782 × 1,024 pixels | 1,565 × 2,048 pixels.
Original file (SVG file, nominally 188 × 246 pixels, file size: 53 KB)
.svg){kind=link}
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}
Summary
| Description | A polyhedral depiction of axiom TR4 of a triangulated category. |
| Date | |
| Source | I created this work entirely by myself. |
| Author | Ryan Reich (talk) |
| Other versions | File:Octahedral diagram.jpg, w:File:Axiom TR4 (polyhedron).svg |
.svg){kind=link}
Licensing
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:39, 14 January 2009 | | 188 × 246 (53 KB) | wikimediacommons>Ryan Reich | == 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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.svg){kind=link}