- Commit
- 7ddc6fe1e15f51ca7cf85a85182569228d1741e5
- Parent
- 63aa734e9c5667b2fb817607da3d81a7a9dc275e
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Added a bunch of images
latex-setup
My personal LaTeX setup 🦁️⚙️
Diffstat
14 files changed, 1244 insertions, 0 deletions
| Status | File Name | N° Changes | Insertions | Deletions |
| Added | images/bitorus.eps | 508 | 508 | 0 |
| Added | images/complex-lattice.tikz | 35 | 35 | 0 |
| Added | images/cube.tikz | 8 | 8 | 0 |
| Added | images/diamond.tikz | 13 | 13 | 0 |
| Added | images/elliptic-curve-group-structure.tikz | 34 | 34 | 0 |
| Added | images/klein-bottle.eps | 147 | 147 | 0 |
| Added | images/mobius.eps | 30 | 30 | 0 |
| Added | images/rigid-motion-reflections.tikz | 26 | 26 | 0 |
| Added | images/rigid-motion-rotation.tikz | 12 | 12 | 0 |
| Added | images/square-to-circle-projection.tikz | 16 | 16 | 0 |
| Added | images/stereographic-projection.tikz | 35 | 35 | 0 |
| Added | images/tikz | 2 | 2 | 0 |
| Added | images/topology-mug-donut.eps | 164 | 164 | 0 |
| Added | images/topology-mug-donut.tikz | 214 | 214 | 0 |
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diff --git a/images/complex-lattice.tikz b/images/complex-lattice.tikz @@ -0,0 +1,35 @@ +% This picture represents a complex lattice with two linearly independent +% periods +\begin{tikzpicture}[>=triangle 45, scale=0.7] + % The axis + \draw[line width=0.6pt] (0, -1) -- (0, 4); + \draw[line width=0.6pt] (-1, 0) -- (6, 0); + + % The background grid + \foreach \x in {-1,,1,2,3,4,5,6} + \draw[dotted, line width=0.6pt] (\x, -1) -- (\x, 4); + \foreach \y in {-1,,1,2,3,4} + \draw[dotted, line width=0.6pt] (-1, \y) -- (6, \y); + + % The lattice + \begin{scope} + \clip(-1, -1) rectangle (6, 4); + + \foreach \i in {-1,0,1,2} + { + \begin{scope}[shift={({\i * (3 - 1/2)}, 0)}] + \draw[line width=0.6pt, color=cyan] (-.5, -1) -- (2, 4); + \end{scope} + + \begin{scope}[shift={(0, {\i * (2 - 1/3)})}] + \draw[line width=0.6pt, color=cyan] (-1, {-1/3}) -- (6, 2); + \end{scope} + } + \end{scope} + + % The generators of the lattice + \draw[->, >=stealth, line width=0.8pt, color=blue] (0, 0) -- (1, 2); + \draw[->, >=stealth, line width=0.8pt, color=blue] (0, 0) -- (3, 1); + \draw[line width=0.8pt, color=blue] (4, 3)-- (3, 1); + \draw[line width=0.8pt, color=blue] (4, 3)-- (1, 2); +\end{tikzpicture}
diff --git a/images/cube.tikz b/images/cube.tikz @@ -0,0 +1,7 @@ +\begin{tikzpicture}[] + \draw (0,0,0) -- ++(-1,0,0) -- ++(0,-1,0) -- ++(1,0,0) -- cycle; + \draw (0,0,0) -- ++(0,0,-1) -- ++(0,-1,0) -- ++(0,0,1) -- cycle; + \draw[dotted, shift={(-1, 0)}] (0,0,-1) -- ++(0,-1,0) -- ++(0,0,1); + \draw (0,0,0) -- ++(-1,0,0) -- ++(0,0,-1) -- ++(1,0,0) -- cycle; + \draw[dotted, shift={(0, -1)}] (-1,0,-1) -- ++(1,0,0); +\end{tikzpicture}+ \ No newline at end of file
diff --git a/images/diamond.tikz b/images/diamond.tikz @@ -0,0 +1,13 @@ +\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-.4,xscale=.4] + %Shape: Polygon [id:ds7546138143637298] + \draw (244.52,138.11) -- (129.96,172.23) -- (170.52,46.11) -- cycle; + %Shape: Polygon [id:ds8273849170101546] + \draw (129.96,172.23) -- (133.33,118.95) -- (170.52,46.11) -- cycle; + %Straight Lines [id:da3652053008459648] + \draw[dotted] (133.33,118.95) -- (244.52,138.11) ; + %Shape: Polygon [id:ds09605015218858615] + \draw (244.52,138.11) -- (170.62,210.9) -- (129.96,172.23) -- cycle; + %Straight Lines [id:da45488634459118016] + \draw[dotted] (133.33,118.95) -- (170.62,210.9) ; +\end{tikzpicture} +
diff --git a/images/elliptic-curve-group-structure.tikz b/images/elliptic-curve-group-structure.tikz @@ -0,0 +1,34 @@ +% This picture represents the group structure of the points of an elliptic +% curve +\begin{tikzpicture}[yscale=.7] + % The axis + \draw[->] (-3, 0) -- (3.5, 0); + \draw[->] ( 0, -3.2) -- ( 0, 3.2); + + \clip(-3., -3.2) rectangle (3.5, 3.2); + + % The curve + \draw[smooth, samples=100, domain=-2.6712104999999995:0.5950260813349957] + plot(\x, {sqrt((\x)^(3)-5.9*(\x)+3.3)}); + \draw[smooth, samples=100, domain=2.076187129580795:3.5] + plot(\x, {sqrt((\x)^(3)-5.9*(\x)+3.3)}); + \draw[smooth, samples=100, domain=-2.6712104999999995:0.5950260813349957] + plot(\x, {0-sqrt((\x)^(3)-5.9*(\x)+3.3)}); + \draw[smooth, samples=100, domain=2.076187129580795:3.5] + plot(\x, {0-sqrt((\x)^(3)-5.9*(\x)+3.3)}); + + % The intersection lines + \draw[color=violet] ( -3, 1.2218) -- ( 3.5, 2.5105); + \draw[color=violet] (-2.5534, -3.2) -- (-2.5534, 3.2); + + % The intersection points + \filldraw ( 0, 1.8165902124584950) circle (1.0pt); + \filldraw ( 2.5927223574355067, 2.3306137033629240) circle (1.0pt); + \filldraw (-2.5534168046838945, 1.3103592942448403) circle (1.0pt); + \filldraw (-2.5534168046838945, -1.3103592942526257) circle (1.0pt); + + % The labels + \draw ( 0, 2.2346057845515620) node[right]{$P$}; + \draw ( 3, 2.6354835353265860) node {$Q$}; + \draw (-2, -1.0195783099751021) node {$P+Q$}; +\end{tikzpicture}
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diff --git a/images/rigid-motion-reflections.tikz b/images/rigid-motion-reflections.tikz @@ -0,0 +1,25 @@ +\begin{tikzpicture} + \begin{scope}[shift={(1.5, -1)}] + \draw (0, 0) -- ++( 2, 0) + -- ++( 0, 2) + -- ++(-2, 0) + -- cycle; + + \draw[thick] (0, 2) -- (1, 0); + \draw[thick] (1, 2) -- (2, 0); + \draw (0, 0) -- (2, 2); + \end{scope} + + \draw (1, 0) node{$\leadsto$}; + + \begin{scope}[shift={(-1.5, -1)}] + \draw (0, 0) -- ++( 2, 0) + -- ++( 0, 2) + -- ++(-2, 0) + -- cycle; + + \draw[thick] (0, 0) -- (1, 2); + \draw[thick] (1, 0) -- (2, 2); + \draw (0, 2) -- (2, 0); + \end{scope} +\end{tikzpicture}+ \ No newline at end of file
diff --git a/images/rigid-motion-rotation.tikz b/images/rigid-motion-rotation.tikz @@ -0,0 +1,11 @@ +\begin{tikzpicture}[scale=1.25] + \draw (-1, 0) -- (1, 0) (0, -1) -- (0, 1); + + \draw (-.5, .5) -- ++(1, 0) -- ++(0, -1) -- ++(-1, 0) -- cycle; + + \begin{scope}[rotate=-45] + \draw (-.5, .5) -- ++(1, 0) -- ++(0, -1) -- ++(-1, 0) -- cycle; + \end{scope} + + \draw[->] (90:.75) ++(.25, .25) arc (90:0:.75); +\end{tikzpicture}+ \ No newline at end of file
diff --git a/images/square-to-circle-projection.tikz b/images/square-to-circle-projection.tikz @@ -0,0 +1,15 @@ +\begin{tikzpicture} + \draw circle (3); + \filldraw circle (1pt); + \draw ({3 * cos(45)}, {3 * sin(45)}) + -- ({-3 * cos(45)}, {3 * sin(45)}) + -- ({-3 * cos(45)}, {-3 * sin(45)}) + -- ({3 * cos(45)}, {-3 * sin(45)}) + -- cycle; + + \coordinate (a) at ({3 * sqrt(6)/6}, {3 * sin(45)}); + \coordinate (b) at ({3 * cos(45 + 15)}, {3 * sin(45 + 15)}); + + \draw[thick, dotted] (0, 0) -- (b); + \filldraw (a) circle (1pt) (b) circle (1pt); +\end{tikzpicture}+ \ No newline at end of file
diff --git a/images/stereographic-projection.tikz b/images/stereographic-projection.tikz @@ -0,0 +1,35 @@ +% This picture represents the stereographic projection +% Copyright Pablo (C) 2021 +\begin{tikzpicture}[scale=0.6] + % The outline of the sphere + \draw (0, 0) circle (3); + + % The equator + \begin{scope} + \clip (-3, 0) rectangle (3, -3); + \draw ellipse (3 and 1); + \end{scope} + + % The equator (on the other side of the sphere) + \begin{scope} + \clip (-3, 0) rectangle (3, 3); + \draw[dotted] ellipse (3 and 1); + \end{scope} + + % The plane + \draw (-9, -4) -- (-5, 0) + -- (-3, 0) + ( 3, 0) -- ( 9, 0) + -- ( 5, -4) + -- (-9, -4); + + % A line trought the sphere and the plane + \coordinate (N) at (0, 3); + \coordinate (a) at (2, -1); + \coordinate (b) at (3, -3); + \draw[dotted] (N) -- (a); + \draw (a) -- (b); + + % The dots + \filldraw (N) circle (2pt) (a) circle (2pt) (b) circle (2pt); +\end{tikzpicture}
diff --git a/images/tikz b/images/tikz @@ -0,0 +1 @@ +/home/pablo/Documents/website/tikz/images+ \ No newline at end of file
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