latex-pictures

A collection of TikZ drawings and other images 🖌️

Commit: 6d8a51b7585a67ce650f8d6b723c67947ebfcbdc
Parent: b85c75557334415784b674ae99ed846039f400ab
Author: Pablo <pablo-escobar@riseup.net>
Date: Sun, 15 Jan 2023 15:07:35 +0000

Added a plot of the number of finite topological spaces to the repo

Diffstat

1 file changed, 28 insertions, 0 deletions

Status	File Name	N° Changes	Insertions	Deletions
Added	finite-topological-plot.tikz	28	28	0

diff --git a/finite-topological-plot.tikz b/finite-topological-plot.tikz
@@ -0,0 +1,28 @@
+% A plot of the number of topological spaces of n points in logarithmic scale
+% Copyright Pablo (C) 2023
+\begin{tikzpicture}
+  \begin{axis}[
+      xlabel={$n$},
+      ylabel={$\log(\text{\# topological spaces of $n$ points})$},
+      xmin=0, xmax=20,
+      ymin=0, ymax=85,
+      legend pos=north west,
+      ymajorgrids=true,
+      grid style=dashed,
+      title={Finite Topological Spaces},
+    ]
+
+    \addplot[ycomb, mark=*, color=blue]
+    coordinates {
+      (1, 0.0) (2, 0.0) (3, 1.3862943611198906)
+      (4, 3.367295829986474) (5, 5.872117789475416)
+      (6, 8.845345196421732) (7, 12.25260788832186)
+      (8, 16.070505071998763) (9, 20.2813120724568)
+      (10, 24.870523629947815) (11, 29.825692867915237)
+      (12, 35.135878446962565) (13, 40.79136515152374)
+      (14, 46.783499368150814) (15, 53.10457040668696)
+      (16, 59.74771093408638) (17, 66.70680783627301)
+      (18, 73.97642153853138) (19, 81.5517138078997)
+    };
+  \end{axis}
+\end{tikzpicture}