Chapter 9 – Using Layers and Transparency

[xyz-ips snippet=”intro”]

[xyz-ips snippet=”img1″]09/01[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.1 – A duck swimming in water[xyz-ips snippet=”fig2″]

\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{shapes.geometric,decorations.pathmorphing,backgrounds}
\usepackage{tikzducks}
\begin{document}
\begin{tikzpicture}
  \duck[laughing]
  \fill[top color=white, bottom color=blue, opacity=0.5]
    (-1,-0.2) -- (-1,0.5)
    decorate[decoration={snake}]{-- (3,0.5)} -- (3,-0.2);
\end{tikzpicture}
\end{document}

[xyz-ips snippet=”img1″]09/02[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.2 – A fully transparent diagram[xyz-ips snippet=”fig2″]

\documentclass[tikz,border=10pt]{standalone}
\begin{document}
\begin{tikzpicture}[very thick,opacity=0.4]
  \filldraw[red]   ( 90:1.2) circle (2);
  \filldraw[green] (210:1.2) circle (2);
  \filldraw[blue]  (330:1.2) circle (2);
  \node at ( 90:2)    {Designing};
  \node at (210:2)    {Drawing};
  \node at (330:2)    {Coding};
  \node [font=\LARGE] {TikZ};
\end{tikzpicture}
\end{document}

[xyz-ips snippet=”img1″]09/03[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.3 – Borders of areas with transparency[xyz-ips snippet=”fig2″]

\documentclass[tikz,border=10pt]{standalone}
\begin{document}
\begin{tikzpicture}[very thick, opacity=0.4]
  \filldraw[red]   ( 90:1.2) circle (2);
  \filldraw[green] (210:1.2) circle (2);
  \filldraw[blue]  (330:1.2) circle (2);
  \node at ( 90:2)    {Designing};
  \node at (210:2)    {Drawing};
  \node at (330:2)    {Coding};
  \node [font=\LARGE] {TikZ};
\end{tikzpicture}
\end{document}

[xyz-ips snippet=”img1″]09/04[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.4 – Transparent areas with opaque curves and text[xyz-ips snippet=”fig2″]

\documentclass[tikz,border=10pt]{standalone}
\begin{document}
\begin{tikzpicture}[very thick, fill opacity=0.4]
  \filldraw[red]   ( 90:1.2) circle (2);
  \filldraw[green] (210:1.2) circle (2);
  \filldraw[blue]  (330:1.2) circle (2);
  \node at ( 90:2)    {Designing};
  \node at (210:2)    {Drawing};
  \node at (330:2)    {Coding};
  \node [font=\LARGE] {TikZ};
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=10pt]{standalone}
\begin{document}
\begin{tikzpicture}[very thick, fill opacity=0.4, text opacity=1]
  \filldraw[red]   ( 90:1.2) circle (2);
  \filldraw[green] (210:1.2) circle (2);
  \filldraw[blue]  (330:1.2) circle (2);
  \node at ( 90:2)    {Designing};
  \node at (210:2)    {Drawing};
  \node at (330:2)    {Coding};
  \node [font=\LARGE] {TikZ};
\end{tikzpicture}
\end{document}

[xyz-ips snippet=”img1″]09/05[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.5 – Overlapping transparent objects[xyz-ips snippet=”fig2″]

\documentclass[tikz,border=10pt]{standalone}
\usepackage{babel}
\usepackage{blindtext}
\begin{document}
\begin{tikzpicture}
  \begin{scope}[opacity=0.6]
    \draw [line width=4mm, red] circle(1);
    \fill[rounded corners, fill=red, rotate=15]
      (-1.3,-0.2) rectangle (1.3,0.2);
  \end{scope}
  \node[rotate=15] {TOP SECRET};
\end{tikzpicture}
\end{document}

[xyz-ips snippet=”img1″]09/06[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.6 – Grouping transparency[xyz-ips snippet=”fig2″]

\documentclass[tikz,border=10pt]{standalone}
\usepackage{babel}
\usepackage{blindtext}
\begin{document}
\begin{tikzpicture}
  \begin{scope}[opacity=0.6, transparency group]
    \draw [line width=4mm, red] circle(1);
    \fill[rounded corners, fill=red, rotate=15]
      (-1.3,-0.2) rectangle (1.3,0.2);
  \end{scope}
  \node[rotate=15] {TOP SECRET};
\end{tikzpicture}
\end{document}

[xyz-ips snippet=”img1″]09/07[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.7 – Drawing to display transposing a matrix[xyz-ips snippet=”fig2″]

\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{matrix,positioning,quotes,decorations.pathreplacing,arrows.meta}
\tikzset{standard/.style={matrix of nodes, left delimiter={(},
  right delimiter={)}, inner sep=0pt, nodes={inner sep=0.3em}}}
\begin{document}
\begin{tikzpicture}[every node/.append style={font=\sffamily}]
  \matrix[standard] (m)  {
       1 & 2 & 3 \\
       4 & 5 & 6 \\
       7 & 8 & 9 \\};
  \matrix[standard,right = 3cm of m] (n) {
       1 & 4 & 7 \\
       2 & 5 & 8 \\
       3 & 6 & 9 \\};
  \draw[->,shorten <=1em,shorten >=1em,thick] (m.east) to["Transpose"] (n);
\end{tikzpicture}
\end{document}

[xyz-ips snippet=”img1″]09/08[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.8 – Highlighting a part of a matrix[xyz-ips snippet=”fig2″]

\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{matrix,positioning,quotes,tikzmark}
\tikzset{standard/.style = {matrix of nodes, inner sep=0pt,
  nodes={inner sep=0.3em},
  left delimiter={(}, right delimiter={)}}}
\tikzset{submatrix/.style = {rectangle, rounded corners,
  fill=yellow, fill opacity=0.5}}
\tikzset{every node/.append style = {font=\sffamily}}
\begin{document}
\begin{tikzpicture}
  \matrix[standard] (m)  {
       1 & 2 & 3 \\
       4 & 5 & 6 \\
       7 & 8 & 9 \\};
  \matrix[standard,right = 3cm of m] (n) {
       1 & 4 & 7 \\
       2 & 5 & 8 \\
       3 & 6 & 9 \\};
  \draw[->,shorten <=1em, shorten >=1em, thick]
    (m.east) to["Transpose"] (n);
\draw[submatrix] (m-2-2.north west) rectangle (m-3-3.south east);
\draw[submatrix] (n-2-2.north west) rectangle (n-3-3.south east);
\end{tikzpicture}
\end{document}

[xyz-ips snippet=”img1″]09/09[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.9 – Background highlighting a part of a matrix[xyz-ips snippet=”fig2″]

\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{matrix,positioning,quotes,fit}
\usetikzlibrary{backgrounds}
\tikzset{standard/.style={matrix of nodes,left delimiter={(},right delimiter={)},inner sep=0pt,nodes={inner sep=0.3em}}}
\tikzset{submatrix/.style = {rectangle, rounded corners,
  fill=yellow, draw, inner sep=0pt}}
\begin{document}
\begin{tikzpicture}[every node/.append style={font=\sffamily}]
  \matrix[standard] (m)  {
       1 & 2 & 3 \\
       4 & 5 & 6 \\
       7 & 8 & 9 \\};
  \matrix[standard,right = 3cm of m] (n) {
       1 & 4 & 7 \\
       2 & 5 & 8 \\
       3 & 6 & 9 \\};
  \draw[->,shorten <=1em,shorten >=1em,thick] (m.east) to["Transpose"] (n);
 \begin{scope}[on background layer]
   \node (m1) [submatrix, fit=(m-2-2) (m-3-3)] {};
   \node (n1) [submatrix, fit=(n-2-2) (n-3-3)] {};
 \end{scope}
 \draw [->] (m1.south east) to[bend right=20] (n1.south west);
\end{tikzpicture}
\end{document}

[xyz-ips snippet=”img1″]09/10[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.10 – Drawing in the background of a LaTeX equation[xyz-ips snippet=”fig2″]

\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{fit,tikzmark}
\tikzset{submatrix/.style = {draw, rectangle, rounded corners,
  fill=yellow}, inner sep=2pt}
\pagestyle{empty}
\begin{document}
\begin{tikzpicture}[overlay, remember picture]
  \node (m) [submatrix, fit={([yshift={1.5ex}]pic cs:m1) (pic cs:m2)}] {};
  \node (n) [submatrix, fit={([yshift={1.5ex}]pic cs:n1) (pic cs:n2)}] {};
  \draw [->] (m.south east) to[bend right=20] (n.south west);
\end{tikzpicture}
\[
  \begin{pmatrix}
       1 & 2 & 3 \\
       4 & \tikzmark{m1}5 & 6 \\
       7 & 8 & 9\tikzmark{m2}
  \end{pmatrix}
  \xrightarrow{\text{Transpose}}
  \begin{pmatrix}
     1 & 4 & 7 \\
     2 & \tikzmark{n1}{5} & 8 \\
     3 & 6 & 9\tikzmark{n2} 
  \end{pmatrix}
\]
\end{document}

[xyz-ips snippet=”img1″]09/11[xyz-ips snippet=”img2″]

[xyz-ips snippet=”fig1″]Figure 9.11 – Drawing in the background of LaTeX pages[xyz-ips snippet=”fig2″]

\documentclass{article}
\usepackage[english]{babel}
\usepackage{tikz,blindtext}
\usepackage{atbegshi}
\AtBeginShipout{\AtBeginShipoutAddToBox{\tikz[overlay,remember picture]]
  \node[rotate=40,scale=10,lightgray,font=\bfseries]
    at (current page.center) {DRAFT};}}
\pagestyle{empty}
\begin{document}
\blinddocument
\end{document}

[xyz-ips snippet=”chapter1″]10[xyz-ips snippet=”chapter2″]