wasserstein
\documentclass{standalone}
\usepackage{tikz}
\usepackage{bm}

\usetikzlibrary{arrows.meta}

\definecolor{blue}{rgb}{0.38, 0.51, 0.71}
\definecolor{darkblue}{RGB}{17, 42, 60}
\definecolor{red}{RGB}{175, 49, 39}
\definecolor{orange}{RGB}{217, 156, 55}
\definecolor{green}{RGB}{144, 169, 84}
\definecolor{orangeD}{RGB}{75, 52, 11}

\begin{document}
    \begin{tikzpicture}[scale=.58, >=stealth]
     \coordinate (a) at (-9, -1.5);
     \coordinate (b) at (-4.5, -0.4);
     \coordinate (c) at (-5.2, 1);
     \coordinate (d) at (-8, .7);

     \draw[ultra thick, blue] (a) -- (b);
     \draw[ultra thick, orange] (b) -- (c);
     \draw[ultra thick, green] (c) -- (d);
     \draw[ultra thick, red] (d) -- (a);

     \node[darkblue] at (a) {\small $\bullet$};
     \node[darkblue, left] at (a) {\small $\bm{v}_1$};
     \node[darkblue] at (b) {\small $\bullet$};
     \node[darkblue, below] at (b) {\small $\bm{v}_2$};
     \node[darkblue] at (c) {\small $\bullet$};
     \node[darkblue, right] at (c) {\small $\bm{v}_3$};
     \node[darkblue] at (d) {\small $\bullet$};
     \node[darkblue, left] at (d) {\small $\bm{v}_4$};

     \fill[green!60] (-107.49:.4) -- (-107.49:1.4) arc(-107.49:-18.67:1.4) -- (-18.67:.4) arc(-18.67:-107.49:.4);
     \fill[blue!60] (-18.67:.4) -- (-18.67:1.4) arc(-18.67:127.15:1.4) -- (127.15:.4) arc(127.15:-18.67:.4);
     \fill[red!60] (127.15:.4) -- (127.15:1.4) arc(127.15:203.37:1.4) -- (203.37:.4) arc(203.37:127.15:.4);
     \fill[orange!60] (203.37:.4) -- (203.37:1.4) arc(203.37:252.51:1.4) -- (252.51:.4) arc(252.51:203.37:.4);

     \draw (0, 0) circle(.4);
     \draw[thick] (27.47:.4) -- (27.47:2.95) node[blue] {$\bullet$};
     \draw[thick] (233.13:.4) -- (233.13:1.82) node[orange] {$\bullet$};
     \draw[thick] (12.23:.4) -- (12.23:2.29) node[green] {$\bullet$};
     \draw[thick] (131.11:.4) -- (131.11:2.14) node[red] {$\bullet$};

     \draw[thick, ->, darkblue] (1.6, 0) arc(0:-107.49:1.6) node[right, pos=.5] {\small $\pi \alpha_0 = \Theta_{{\color{green} 34}}^0$};
     \node at (-2.68, -1.5) {\footnotesize $\displaystyle \Theta_{{\color{red} 41}}^1 \hspace{-1mm} = \Theta_{{\color{orangeD} 23}}^0$};
     \draw[->] (-2.68, -1.3) to[bend left]  (203.37:1.5);

     \draw (0, 1.7) -- (0, 1.85) node[above=-1mm] {\scriptsize $\pi/4$};
     \draw (1.7, 0) -- (1.85, 0) node[right=-1mm] {\scriptsize $0,\pi$};
     \draw (-1.7, 0) -- (-1.85, 0) node[left=-1mm] {\scriptsize $\pi/2$};
     \draw (0, -1.7) -- (0, -1.85) node[below=-1mm] {\scriptsize $3\pi/4$};

    \end{tikzpicture}
\end{document}```