Trisection of an Angle in an Infinite Number of Steps
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\documentclass[tikz, border=2pt]{standalone}
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\usetikzlibrary{calc}
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\usetikzlibrary{math}
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%\usetikzlibrary{arrows.meta}
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\begin{document}
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\begin{tikzpicture}[line width=1pt]
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\tikzmath{
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\A = 120;
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\l = 5;
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}
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\coordinate (O) at (0, 0);
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\filldraw (O) circle [radius=2pt];
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\foreach \a in {0, \A}
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\draw (O) -- (\a:\l);
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\foreach \a/\i in {0.5*\A/1, 0.25*\A/2, 0.375*\A/3, 0.3125*\A/4}{
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\draw (O) -- (\a:\l) node[above right] {\i};
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}
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\draw[dashed] (O) -- ++(1/3*\A:1.3*\l);
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\node[below=5mm, align=center] () at ($(O)+(0.3*\l, 0)$) {
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$\displaystyle\frac{1}{3}=\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}+\cdots$
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}
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\end{tikzpicture}
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\end{document}
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