latex-setup

My personal LaTeX setup 🦁️⚙️

git clone: git://git.pablopie.xyz/latex-setup
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Commit: 7ddc6fe1e15f51ca7cf85a85182569228d1741e5
Parent: 63aa734e9c5667b2fb817607da3d81a7a9dc275e
Author: Pablo <pablo-escobar@riseup.net>
Date: Wed, 28 Apr 2021 12:13:43 +0000

Added a bunch of images

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

diff --git a/images/bitorus.eps b/images/bitorus.eps
@@ -0,0 +1,508 @@
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+ 416.582 248.719 c h
+416.582 248.719 m f
+Q Q
+showpage
+%%Trailer
+end
+%%EOF

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/mobius.eps b/images/mobius.eps
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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 @@
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\ No newline at end of file

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