Me gustaría eso:
\begin{tikzpicture}
\draw[gray!50, dashed, fill=gray!10] plot[smooth cycle, tension=.7] coordinates {(3.0379,10.2421) (2.0978,9.802) (1.6332,8.5161) (2.0978,7.3113) (3.3837,6.9169) (4.3832,8.1703) (3.8915,9.8182) (3.4377,9.6885) (3.697,8.9375) (3.6739,8.2269) (3.5241,7.8083) (2.9839,7.5814) (2.5138,7.8299) (2.3301,8.2189) (2.3247,8.9105) (2.5895,9.4994) (3.0271,9.7583) (3.2378,10.0069) };
\draw[gray, fill= white] plot[smooth cycle, tension=.7] coordinates {(2.1543,9.7544) (1.8119,9.0064) (1.8014,8.1951) (2.149,7.4365) (2.4386,7.3946)(2.4951,7.5912) (2.3387,7.8) (2.207,8.2056) (2.1859,8.9589) (2.4651,9.5595) (2.4335,9.8018) };
\draw[gray, fill= white] plot[smooth cycle, tension=.7] coordinates { (2.8014,7.2447) (3.0002,7.0181) (3.8376,7.4287) (4.1764,8.181) (4.185,9.0223) (3.9754,9.2003) (3.8089,8.9907) (3.8146,8.2097) (3.5706,7.7015)(2.9829,7.4097)};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (3, 10) (v0) {0};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (2.3, 9.65) (v1) {1};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (2, 9) (v2) {2};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (2, 8.2) (v3) {3};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (2.3, 7.55) (v4) {4};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (3, 7.2) (v5) {5};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (3.7, 7.55) (v6) {6};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (4, 8.2) (v7) {7};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (4, 9) (v8) {8};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (3.7, 9.65) (v9) {9};
\path[->] (v0) edge [bend right = 15] (v1);
\path[->] (v1) edge [bend right = 10] (v2);
\path[->] (v2) edge [bend right = 10] (v3);
\path[] (v3) edge [bend right = 10] (v4);
\path[] (v4) edge [bend right = 15] (v5);
\path[->] (v5) edge [bend right = 15] (v6);
\path[->] (v6) edge [bend right = 10] (v7);
\path[] (v7) edge [bend right = 10] (v8);
\path[] (v8) edge [bend right = 10] (v9);
\path[] (v9) edge [bend right = 15] (v0);
\path[] (v3) edge [] (v7);
\path[] (v2) edge [bend left = 10] (v8) edge [bend left = 10] (v6);
\path[] (v4) edge [bend left = 10] (v8) edge [bend right = 10] (v6);
\end{tikzpicture}
Para lucir bonita.
Un enfoque de casco convexo debería ser suficiente. Lo que encontré ya no funciona. Y me gustaría hacerlo sin hobby.
Muchas gracias por la ayuda
¿Existe otra forma de dibujar las áreas sombreadas sin curvas Bézier o jugando con "curvas suaves"?
Respuesta1
Un truco rápido que es un poco mejor.
\documentclass[tikz]{standalone}
\usetikzlibrary{backgrounds}
\begin{document}
\begin{tikzpicture}
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (3, 10) (v0) {0};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (2.3, 9.65) (v1) {1};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (2, 9) (v2) {2};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (2, 8.2) (v3) {3};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (2.3, 7.55) (v4) {4};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (3, 7.2) (v5) {5};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (3.7, 7.55) (v6) {6};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (4, 8.2) (v7) {7};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (4, 9) (v8) {8};
\node[circle, draw=black, inner sep=0.5mm, font=\tiny] at (3.7, 9.65) (v9) {9};
\begin{scope}[on background layer]
\draw[double=gray!25,double distance=8mm,smooth,line cap=round,tension=0.7] plot coordinates {(v0) (v1) (v2) (v3) (v4) (v5) (v6) (v7)};
\draw[double distance=5mm,smooth,line cap=round,tension=0.8] plot coordinates {(v0) (v1) (v2) (v3) (v4)};
\end{scope}
\end{tikzpicture}
\end{document}
Note que ninguna de estas formas es convexa por cierto...