diff --git a/Advanced/Knots/images/composition a.png b/Advanced/Knots/images/composition a.png index 8e4c49a..8bd29a5 100644 Binary files a/Advanced/Knots/images/composition a.png and b/Advanced/Knots/images/composition a.png differ diff --git a/Advanced/Knots/images/composition b.png b/Advanced/Knots/images/composition b.png index 95977dc..b91e98e 100644 Binary files a/Advanced/Knots/images/composition b.png and b/Advanced/Knots/images/composition b.png differ diff --git a/Advanced/Knots/images/composition c.png b/Advanced/Knots/images/composition c.png deleted file mode 100644 index 8bd29a5..0000000 Binary files a/Advanced/Knots/images/composition c.png and /dev/null differ diff --git a/Advanced/Knots/images/composition d.png b/Advanced/Knots/images/composition d.png deleted file mode 100644 index b91e98e..0000000 Binary files a/Advanced/Knots/images/composition d.png and /dev/null differ diff --git a/Advanced/Knots/images/figure eight many.png b/Advanced/Knots/images/figure eight many.png new file mode 100644 index 0000000..c70e0e9 Binary files /dev/null and b/Advanced/Knots/images/figure eight many.png differ diff --git a/Advanced/Knots/images/figure eight.png b/Advanced/Knots/images/figure eight.png index c70e0e9..8e4c49a 100644 Binary files a/Advanced/Knots/images/figure eight.png and b/Advanced/Knots/images/figure eight.png differ diff --git a/Advanced/Knots/images/trefoil.png b/Advanced/Knots/images/trefoil.png new file mode 100644 index 0000000..95977dc Binary files /dev/null and b/Advanced/Knots/images/trefoil.png differ diff --git a/Advanced/Knots/parts/0 intro.tex b/Advanced/Knots/parts/0 intro.tex index 4812301..a543910 100644 --- a/Advanced/Knots/parts/0 intro.tex +++ b/Advanced/Knots/parts/0 intro.tex @@ -147,7 +147,7 @@ We call each drawing a \textit{projection}. Below are four projections of the \t \vspace{2mm} \begin{center} - \includegraphics[width=0.8\linewidth]{images/figure eight.png} + \includegraphics[width=0.8\linewidth]{images/figure eight many.png} \end{center} \vspace{2mm} diff --git a/Advanced/Knots/parts/1 composition.tex b/Advanced/Knots/parts/1 composition.tex index 85cf2e7..c3b4341 100644 --- a/Advanced/Knots/parts/1 composition.tex +++ b/Advanced/Knots/parts/1 composition.tex @@ -7,21 +7,21 @@ The knot $A \boxplus B$ is created by cutting $A$ and $B$ and joining their ends \hfill \begin{minipage}[t]{0.15\textwidth} \begin{center} - \includegraphics[width=\linewidth]{images/composition a.png} + \includegraphics[width=\linewidth]{images/figure eight.png} $A$ \end{center} \end{minipage} \hfill \begin{minipage}[t]{0.13\textwidth} \begin{center} - \includegraphics[width=\linewidth]{images/composition b.png} + \includegraphics[width=\linewidth]{images/trefoil.png} $B$ \end{center} \end{minipage} \hfill \begin{minipage}[t]{0.3\textwidth} \begin{center} - \includegraphics[width=\linewidth]{images/composition c.png} + \includegraphics[width=\linewidth]{images/composition a.png} $A \boxplus B$ \end{center} \end{minipage} @@ -32,7 +32,7 @@ We must be careful to avoid new crossings when composing knots: \vspace{2mm} \begin{center} - \includegraphics[width=0.45\linewidth]{images/composition d.png} + \includegraphics[width=0.45\linewidth]{images/composition b.png} \end{center} \vspace{2mm}