Gostaria disso:
\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 ficar bonita.
Uma abordagem de casco convexo deve servir. O que encontrei não funciona mais. E eu gostaria de fazer isso sem hobby.
Muito obrigado pela ajuda
Existe outra maneira de desenhar as áreas sombreadas sem curvas bézier ou brincar com "curvas suaves"?
Responder1
Um hack rápido que é um pouco melhor
\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}
Observe que nenhuma dessas formas é convexa, aliás...