[xyz-ips snippet=”intro”]
Having to re-upload the images these days
Testing simple transformations
\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
\draw[thin,dotted] (-1,-1) grid (3,3);
\draw[->] (-1,0) -- (3.2,0);
\draw[->] (0,-1) -- (0,3.2);
\draw[yshift=2cm] (0,0) -- (1,1);
\draw[xshift=1cm, yshift=2cm] (0,0) circle(1);
\draw[shift={(1cm,2cm)}] (0,0) circle(1);
\draw ([shift={(2,3)}]1,1) -- (4,5);
\draw ($(1,1)+(3,4)$) -- (4,5);
\coordinate (A) at (-3, 1);
\coordinate (B) at (-1, 1);
\draw (A) -- (B) node[pos=0.5, yshift=2mm] {text};
\draw[yshift=2cm] (A) -- (B);
\draw ([yshift=2cm]A.east) -- ([yshift=2cm]B.west);
\end{tikzpicture}
\end{document}
[xyz-ips snippet=”img1″]11/01[xyz-ips snippet=”img2″]
[xyz-ips snippet=”fig1″]Figure 11.1 – Rotating a triangle around the origin[xyz-ips snippet=”fig2″]
\documentclass[tikz,border=10pt]{standalone}
\begin{document}
\begin{tikzpicture}
% grid and coordinate axes:
\draw[thin,dotted] (-1,-1) grid (3,3);
\draw[->] (-1,0) -- (3,0);
\draw[->] (0,-1) -- (0,3);
% original triangle:
\fill[gray!40] (0,1) -- (3,1) -- (2,2) --cycle;
% rotated triangle:
\fill[orange, rotate=45] (0,1) -- (3,1) -- (2,2) --cycle;
% clipped circles to show the rotation:
\begin{scope}
\clip (0,1) rectangle (3,2.82);
\draw[densely dotted] circle(3.16);
\end{scope}
\begin{scope}
\clip (0,3) rectangle (2,2);
\draw[densely dotted] circle(2.83);
\end{scope}
\begin{scope}
\clip (-0.7,0.6) rectangle (0,1);
\draw[densely dotted] circle(1);
\end{scope}
\end{tikzpicture}
\end{document}
[xyz-ips snippet=”img1″]11/02[xyz-ips snippet=”img2″]
[xyz-ips snippet=”fig1″]Figure 11.2 – Rotating a triangle around a point[xyz-ips snippet=”fig2″]
\documentclass[tikz,border=10pt]{standalone}
\begin{document}
\begin{tikzpicture}
\draw[thin,dotted] (-1,-1) grid (3,3);
\draw[->] (-1,0) -- (3.2,0);
\draw[->] (0,-1) -- (0,3.2);
% original triangle:
\fill[gray!40] (0,1) -- (3,1) -- (2,2) --cycle;
% rotated triangle:
\fill[orange,rotate around={45:(0,1)}]
(0,1) -- (3,1) -- (2,2) --cycle;
% clipped circles to show the rotation:
\begin{scope}
\clip (2.1,3.1) rectangle (3,1);
\draw[blue, densely dotted] (0,1) circle(3);
\end{scope}
\begin{scope}
\clip (0.72,3.2) rectangle (2,2);
\draw[blue, densely dotted] (0,1) circle(2.24);
\end{scope}
\end{tikzpicture}
\end{document}
[xyz-ips snippet=”img1″]11/03[xyz-ips snippet=”img2″]
[xyz-ips snippet=”fig1″]Figure 11.3 – Scaled triangle[xyz-ips snippet=”fig2″]
\documentclass[tikz,border=10pt]{standalone}
\begin{document}
\begin{tikzpicture}
\draw[thin,dotted] (-1,-1) grid (6,3);
\draw[->] (-1,0) -- (6.2,0);
\draw[->] (0,-1) -- (0,3.2);
% scaled triangle:
\fill[orange, scale around={2:(0,1)}]
(0,1) -- (3,1) -- (2,2) --cycle;
% original triangle:
\fill[gray!40,opacity=0.6] (0,1) -- (3,1) -- (2,2) --cycle;
\end{tikzpicture}
\end{document}
[xyz-ips snippet=”img1″]11/04[xyz-ips snippet=”img2″]
[xyz-ips snippet=”fig1″]Figure 11.4 – A mirrored scope[xyz-ips snippet=”fig2″]
\documentclass[tikz,border=10pt]{standalone}
\usepackage{tikzducks}
\begin{document}
\begin{tikzpicture}
\begin{scope}[xscale=-1,transform shape]
\duck[laughing,speech={\tiny Oh a mirror!}]
\end{scope}
\end{tikzpicture}
\end{document}
[xyz-ips snippet=”img1″]11/05[xyz-ips snippet=”img2″]
[xyz-ips snippet=”fig1″]Figure 11.5 – Multiple transformations of nodes[xyz-ips snippet=”fig2″]
\documentclass[tikz,border=10pt]{standalone}
\usepackage{tikzducks}
\begin{document}
\begin{tikzpicture}[transform shape, every node/.style={draw, fill=white}]
\draw[thin,dotted] (-3,-3) grid (3,3);
\draw[->] (-3,0) -- (3.2,0);
\draw[->] (0,-3) -- (0,3.2);
\draw circle(2);
\node[xshift=2cm, rotate=45] {A};
\node[rotate=45, xshift=2cm] {B};
\node[rotate=45, yshift=2cm, yscale=-1] {P};
\node[yscale=-1, yshift=2cm, rotate=45] {Q};
\end{tikzpicture}
\end{document}
[xyz-ips snippet=”img1″]11/06[xyz-ips snippet=”img2″]
[xyz-ips snippet=”fig1″]Figure 11.6 – Rotated and scaled squares[xyz-ips snippet=”fig2″]
\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\foreach \i in {90,85,...,5}
\node[fill=black!\i, scale=\i, rotate=\i/2] {};
\end{tikzpicture}
\end{document}
[xyz-ips snippet=”img1″]11/07[xyz-ips snippet=”img2″]
[xyz-ips snippet=”fig1″]Figure 11.7 – A slanted 3×3 grid[xyz-ips snippet=”fig2″]
\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
% \draw[thin,dotted] (-3,-3) grid (3,3);
% \draw[->] (-3,0) -- (3,0);
% \draw[->] (0,-3) -- (0,3);
\draw[yslant=0.5] (0,0) grid +(3,3);
\end{tikzpicture}
\end{document}
Testing slanting
\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
\draw[thin,dotted] (-1,-1) grid (3,3);
\draw[->] (-1,0) -- (3.2,0);
\draw[->] (0,-1) -- (0,3.2);
\filldraw[yslant=1] (0,0) circle (0.3) node [right] {1}
(1,0) circle (0.3) node [right] {2}
(1,0) circle (0.3) node [right] {3}
(3,0) circle (0.3) node [right] {4}
(0,1) circle (0.3) node [right] {5}
;
\end{tikzpicture}
\end{document}
[xyz-ips snippet=”img1″]11/08[xyz-ips snippet=”img2″]
[xyz-ips snippet=”fig1″]Figure 11.8 – A cube made from slanted grids[xyz-ips snippet=”fig2″]
\documentclass[tikz,border=10pt]{standalone}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\draw[yslant=0.5,
left color=gray!10, right color=gray!70]
(3,-3) rectangle +(3,3)
(3,-3) grid +(3,3);
\draw[yslant=-0.5,
left color=black!50, right color=gray!10]
(0,0) rectangle +(3,3)
(0,0) grid +(3,3);
\draw[yslant=0.5,xslant=-1,
bottom color=gray!10, top color=black!80]
(3,0) rectangle +(3,3)
(3,0) grid +(3,3);
\node[yslant=-0.5, scale=3.2]
at (1.5,1.75) {TikZ};
\node[yslant= 0.5, scale=3.2]
at (4.5,1.75) {Cube};
\end{tikzpicture}
\end{document}
Transformations without effect
\documentclass[border=10pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\node (tex) [fill=orange, text=white] {TEX};
\node (pdf) [fill={rgb:red,244;green,15;blue,2},
text=white, right=of tex] {PDF};
\draw (tex) edge[->,yshift= 0.1mm, rotate= 4] (pdf);
\draw (tex) edge[->,yshift=-0.1mm, rotate=-4] (pdf);
\end{tikzpicture}
\end{document}
[xyz-ips snippet=”img1″]11/09[xyz-ips snippet=”img2″]
[xyz-ips snippet=”fig1″]Figure 11.9 – Transformed arrows[xyz-ips snippet=”fig2″]
\documentclass[border=10pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\node (tex) [fill=orange, text=white] {TEX};
\node (pdf) [fill={rgb:red,244;green,15;blue,2},
text=white, right=of tex] {PDF};
\draw (tex) edge[->,transform canvas={yshift= 0.1mm,rotate=4}] (pdf);
\draw (tex) edge[->,transform canvas={yshift=-0.1mm,rotate=-4}] (pdf);
\end{tikzpicture}
\end{document}
[xyz-ips snippet=”chapter1″]12[xyz-ips snippet=”chapter2″]