From 3973104d0b7a5728a2a99c0e60a340f43999b071 Mon Sep 17 00:00:00 2001 From: Alba Larraya Sancho Date: Thu, 9 Apr 2026 12:32:04 +0200 Subject: [PATCH] imagen en el ejemplo --- generaldegree.tex | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) diff --git a/generaldegree.tex b/generaldegree.tex index 1668210..9930754 100644 --- a/generaldegree.tex +++ b/generaldegree.tex @@ -320,5 +320,30 @@ The $2$-faces of the simplicial complex $\Delta^d$ will then be identified to th Finally, we will have $8$ $2$-faces. For three edges to form a face on the simplex, we need the corresponding vertices of the edges to coincide, that is, the edges with non-zero first coordinate must both take the same sign on said coordinate, and equivalently for the rest of coordinates. Then, the faces are defined by taking the square root of the coordinates of the points in $S_1$ with sign equal to those in the edges. + \begin{figure}[h] + \begin{center} + \begin{tikzpicture}[scale=0.7] + \draw[gray, thin] (-5,0) to (5,0); + \draw[gray, thin] (0,-5) to (0,5); + + \draw[gray, thin] (-4,-4) to (4,4); + \draw[fill, red] (4,0) circle (2pt); + \draw[fill, red] (-4,0) circle (2pt); + \draw[fill, green] (0,4) circle (2pt); + \draw[fill, green] (0,-4) circle (2pt); + \draw[fill, blue] (1.41,1.41) circle (2pt); + \draw[fill, blue] (-1.41,-1.41) circle (2pt); + + \draw (0,0) circle (4cm); + + \draw (-4,0) arc (180:360:4 and 1.5); + \draw[dashed] (4,0) arc (0:180:4 and 1.5); + \draw[dashed] (0,4) arc (90:270:-1.5 and 4); + \draw (0,-4) arc (270:90:1.5 and 4); + \end{tikzpicture} + \end{center} + \caption{Division in simplices of $S_2$} + \label{S2} + \end{figure} \end{example} \end{document} \ No newline at end of file