Das würde mir gefallen:
\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}
Um hübsch auszusehen.
Ein konvexer Rumpfansatz sollte genügen. Was ich gefunden habe, funktioniert nicht mehr. Und ich würde es gerne ohne Hobby machen.
Vielen Dank für die Hilfe
Gibt es eine andere Möglichkeit, die schattierten Bereiche ohne Bézierkurven oder durch Herumspielen mit „glatten Kurven“ zu zeichnen?
Antwort1
Ein schneller Hack, der etwas besser ist
\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}
Beachten Sie übrigens, dass keine dieser Formen konvex ist ...