Document 5 - Basics in Tikz (10-11)

\documentclass{beamer}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{xcolor}

\title{Document 5 - Basics in TikZ}
\author{Thomas Boufikos}
\date{October 2021}
\usetheme{Boadilla}
\usecolortheme{whale}

\begin{document}

    \begin{frame}{Basics TikZ commands}
        There is a red dot
        \begin{tikzpicture}
            \draw[fill=red] (0,0) circle [radius = 0.2];
        \end{tikzpicture}
        in the center of this sentence. \\ \\
        The red dot is now centered. \\
        \begin{center}
            \begin{tikzpicture}
                    \draw[fill=red] (0,0) circle [radius = 0.2];
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Drawing lines}
        \begin{center}
            \begin{tikzpicture}
                \draw (0,0) -- (3,2);
                \draw[red] (3,0) -- (0,2);
                \draw[yellow] (0,0) rectangle (3,2);
                \draw[blue] (-0.2, -0.2) -- (3.2, -0.2) -- (3.2, 2.2) -- (-0.2, 2.2) -- cycle;
                \draw[green, fill=green] (1.2, 0.8) rectangle (1.8, 1.2);
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Shapes}
        This shape is a rectangle: \\
        \begin{tikzpicture}
            \draw[blue, fill=blue] (0,0) rectangle (2,3);
        \end{tikzpicture} \\ \\
        This one is a circle:
        \begin{tikzpicture}
            \draw[red, fill=green] (4,4) circle [radius = 0.5];
        \end{tikzpicture}
    \end{frame}

    \begin{frame}{Polar coordinates}
        I Will create an octagon with 8 angles (0, 45, ...., 315, 360). \\ \\
        \begin{center}
            \begin{tikzpicture}
                \draw[red, fill=red] (0:3) -- (45:3) -- (90:3) -- (135:3) -- (180:3) -- (225:3) -- (270:3) -- (315:3) -- cycle;
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Relative Coordinates}
        \begin{center}
            \begin{tikzpicture}
                \draw[red, fill=red] (0,0) -- ++(2,0) -- ++(0,4);
                \draw[blue, fill=blue] (3,0) -- ++(2,0) -- ++(0,4);
                \draw[yellow, fill=yellow] (0,3) -- ++(2,0) -- ++(0,4);
                \draw[green, fill=green] (3,3) -- ++(2,0) -- ++(0,4);
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Circle, ellipsis}
        Now, I am gonna draw 1 circle and 1 ellipsis.
        \begin{center}
            \begin{tikzpicture}
                \draw[blue, fill=blue] (0,0) circle [radius = 2];
                \draw[red] (0,0) circle [x radius = 2, y radius = 3];
                \draw[red, rotate = 45] (0,0) circle [x radius = 2, y radius = 3];
                \draw[yellow] (0,0) circle [y radius = 2, x radius = 3];
                \draw[yellow, rotate = -45] (0,0) circle [x radius = 2, y radius = 3];
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Random Shape}
        \begin{center}
            \begin{tikzpicture}
                \draw[red, fill=red] (0,0) -- (2.2, 2.6) -- ++ (1.5, 1.5) -- ++(270, 1.2) -- cycle;
                \draw[green, fill=green] (1,1) rectangle (2,2);
                \draw[cyan, fill=cyan] (4,4) -| (5,5) -- cycle;
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Nodes 1}
        \begin{center}
            \begin{tikzpicture}
                \draw (0,0) node[draw] {A};
                \draw (0,2) node[draw] {B};
                \draw (3,2) node[draw] {C};
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Nodes 2}
        \begin{center}
            \begin{tikzpicture}
                \draw (0,0) node[draw] {A} -- (0,2) node[draw] {B} -- (3,2) node[draw] {C};
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Nodes 3}
        \begin{center}
            \begin{tikzpicture}
                \draw (0,0) node[draw, fill=white] {A} -- (0,2) node[draw, fill=white] {B} -- (3,2) node[draw, fill=white] {C};
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Code Order Matters 1}
        \begin{center}
            \begin{tikzpicture}
                \draw (0,0) node[fill=white] {Node A};
                \draw (-1,-1) -- (1,1);
                \draw (-1,1) -- (1,-1);
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Code Order Matters 2}
        \begin{center}
            \begin{tikzpicture}
                \draw (-1,-1) -- (1,1);
                \draw (0,0) node[fill=white] {Node A};
                \draw (-1,1) -- (1,-1);
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Code Order Matters 3}
        \begin{center}
            \begin{tikzpicture}
                \draw (-1,-1) -- (1,1);
                \draw (-1,1) -- (1,-1);
                \draw (0,0) node[fill=white] {Node A};
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \definecolor{color1}{RGB}{128, 128, 128}
    \definecolor{color2}{RGB}{100, 228, 178}
    \definecolor{color3}{RGB}{188, 28, 218}
    \definecolor{color4}{RGB}{228, 18, 18}

    \begin{frame}{Random RGB colors and shift}
        \begin{center}
            \begin{tikzpicture}
                \draw[color1, fill=color1] (-1.5, -1.5) rectangle (0.5, 0.5);
                \draw[color2, fill=color2, shift={(0.5, 0.5)}] (-1,-1) rectangle (1,1);
                \draw[color3, fill=color3, shift={(1.5, 1.5)}] (-1,-1) rectangle (1,1);
                \draw[color4, fill=color4, shift={(2.5, 2.5)}] (-1,-1) rectangle (1,1);
            \end{tikzpicture}
        \end{center}
    \end{frame}


    \colorlet{color5}{red!0!blue}
    \colorlet{color6}{red!25!blue}
    \colorlet{color7}{red!50!blue}
    \colorlet{color8}{red!75!blue}
    \colorlet{color9}{red!100!blue}

    \begin{frame}{Colorlet package 1}
        Now, I will mix 2 colors: red and blue. This will happen 5 times. \\
        Each time in different proportion: 0 \% blue, 25 \%, 50\% and 75\% 100\%. \\ \\
        \begin{center}
            \begin{tikzpicture}
                \draw[color5, fill=color5] (-1.5, -1.5) rectangle (0.5, 0.5);
                \draw[color6, fill=color6, shift={(0.5, 0.5)}] (-1,-1) rectangle (1,1);
                \draw[color7, fill=color7, shift={(1.5, 1.5)}] (-1,-1) rectangle (1,1);
                \draw[color8, fill=color8, shift={(2.5, 2.5)}] (-1,-1) rectangle (1,1);
                \draw[color9, fill=color9, shift={(3.5, 3.5)}] (-1,-1) rectangle (1,1);
            \end{tikzpicture}
        \end{center}
    \end{frame}


    \colorlet{color5}{white!0!blue}
    \colorlet{color6}{white!20!blue}
    \colorlet{color7}{white!40!blue}
    \colorlet{color8}{white!60!blue}
    \colorlet{color9}{white!80!blue}
    \colorlet{color0}{white!100!blue}


    \begin{frame}{Colorlet package 2}
        Now, I will mix 2 colors: white and blue. This will happen 6 times. \\
        Each time in different proportion: 0 \% blue, 20 \%, 40\%, 60\%, 80\% and 100\%. \\ \\
        \begin{center}
            \begin{tikzpicture}
                \draw[color5, fill=color5] (-1.5, -1.5) rectangle (0.5, 0.5);
                \draw[color6, fill=color6, shift={(0.5, 0.5)}] (-1,-1) rectangle (1,1);
                \draw[color7, fill=color7, shift={(1.5, 1.5)}] (-1,-1) rectangle (1,1);
                \draw[color8, fill=color8, shift={(2.5, 2.5)}] (-1,-1) rectangle (1,1);
                \draw[color9, fill=color9, shift={(3.5, 3.5)}] (-1,-1) rectangle (1,1);
                \draw[color0, fill=color0, shift={(4.5, 4.5)}] (-1,-1) rectangle (1,1);
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Filling shapes}
        \begin{center}
            \begin{tikzpicture}
                \draw[magenta, fill=magenta] (0,0) -- (1,1) -- (3,-1) -- (5,1) -- (7,-1) -- cycle;
                \draw[ultra thick, green, dotted] (-2,-2) rectangle (8,4);
                \draw[line width = 3pt, double, cyan] (-2.5, -2.5) rectangle (8.5, 4.5);
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Transformations}
        \begin{center}
            \begin{tikzpicture}
                \draw[blue] (0,0) -- (2,0) -- (2,2) -- cycle;
                \draw (0.5, 0.5) node[draw, blue] {Original};
                \draw[red, xscale=2, yscale=2] (0,0) -- (2,0) -- (2,2) -- cycle;
                \draw (3,3) node[draw, red] {scaled=2};
                \draw[yellow, shift={(-2, -2)}] (0,0) -- (2,0) -- (2,2) -- cycle;
                \draw (-0.5, -0.5) node[draw, yellow] {Shift};
                \draw[green, rotate=120] (0,0) -- (2,0) -- (2,2) -- cycle;
                \draw (-1.2, 2.2) node[draw, green] {Rotate};
            \end{tikzpicture}
        \end{center}
    \end{frame}

    \begin{frame}{Node border}
        \begin{center}
            \begin{columns}
                    \column{0.48 \linewidth}
                        \begin{tikzpicture}
                            \draw (0,0) node {No Border};
                            \draw (0, -1) node[draw] {Black Border};
                        \end{tikzpicture}
                    \column{0.48 \linewidth}
                        \begin{tikzpicture}
                            \draw (0,0) node[fill=red] {Red fill};
                            \draw (0, -1) node[draw, fill=red] {Red fill, black border};
                            \draw (0, -2) node[blue, fill=red] {Red fill, blue text};
                            \draw (0, -3) node[draw, blue, fill=red] {Red fill, black border, blue text};
                        \end{tikzpicture}
            \end{columns}
        \end{center}
    \end{frame}

    \begin{frame}{Node placement}
        \begin{center}
            \begin{tikzpicture}
                \draw[green, <->] (-1,-1)-- (9,-1);
                \draw[green, <->] (-1,1) -- (9,1);
                \draw[red] (0,0) -- (8,0)
                 node[pos=0] {0}
                 node[pos=0.25] {0.25}
                 node[pos=0.5] {0.5}
                 node[pos=0.75] {0.75}
                 node[pos=1] {1};
            \end{tikzpicture}
        \end{center}
    \end{frame}

\end{document}