author | Scott Morrison <scott@tqft.net> |
Mon, 12 Dec 2011 19:26:44 -0800 | |
changeset 963 | d875a8378d83 |
parent 960 | bc4086c639b6 |
child 965 | 987af9e53631 |
permissions | -rw-r--r-- |
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adding a figure suggested by the referee
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parents:
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\documentclass[11pt,leqno]{article} |
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\newcommand{\pathtotrunk}{./} |
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parents:
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\input{preamble} |
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\input{text/article_preamble} |
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\input{text/kw_macros} |
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%\title{Blob Homology} |
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\title{Sandbox} |
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\begin{document} |
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filtration -> simplex, and another diagram
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parents:
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\newcommand{\vertex}{node[circle,fill=black,inner sep=1pt] {}} |
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\begin{tikzpicture} |
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\coordinate (P) at (0,0); |
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\coordinate (Q) at (3,0); |
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\coordinate (R) at (1.5,-0.5); |
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\draw (P) \vertex to[out=40,in=140] node[above] {$a$} (Q) \vertex -- node[below] {\scriptsize $y \times I$} (R) \vertex to[out=-180,in=-40] node[below] {$a$} (P); |
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\clip (P) to[out=40,in=140] (Q) -- (R) to[out=-180,in=-40] (P); |
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\foreach \x in {1,...,9} { |
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\path (P) to[out=40,in=140] node[pos=\x/10] (PQ\x) {} (Q); |
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\path (P) to[out=-40,in=-180] node[pos=\x/10] (PR\x) {} (R); |
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\draw[green!50!brown] (PQ\x.center) -- (PR\x.center); |
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} |
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\end{tikzpicture} |
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\begin{tikzpicture} |
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\node[circle,fill=black,inner sep=1pt] (A) at (1.73,0) {}; |
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\node[circle,fill=black,inner sep=1pt] (B) at (-1.73,0) {}; |
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\draw[dashed] (A) -- (B); |
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\node[circle,fill=black,inner sep=1pt] (C) at (0,0) {}; |
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\node[circle,fill=black,inner sep=1pt] (D) at (0.8,0) {}; |
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\begin{scope}[yshift=-1cm] |
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\path[clip] (0,0) circle (2); |
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\begin{scope}[yshift=2cm] |
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\draw (0,0) circle (2); |
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\node[circle,fill=black,inner sep=1pt] (L2) at (-90:2) {}; |
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\node[circle,fill=black,inner sep=1pt] (L1) at (-120:2) {}; |
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\end{scope} |
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\end{scope} |
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\begin{scope}[yshift=1cm] |
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\path[clip] (0,0) circle (2); |
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\begin{scope}[yshift=-2cm] |
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\draw (0,0) circle (2); |
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\node[circle,fill=black,inner sep=1pt] (U) at (90:2) {}; |
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\end{scope} |
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\end{scope} |
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\begin{scope} |
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\path[clip] (0,1) circle (2); |
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\path[clip] (0,-1) circle (2); |
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\end{scope} |
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\end{tikzpicture} |
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\end{document} |