Knotenmuster mit TikZ

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  \documentclass[margin=5pt]{standalone}
  \usepackage{tikz}
  \begin{document}
  \begin{tikzpicture}[
      kreis/.style={
        purple,
        line width=1mm,
        double=gray!20,
        double distance=4mm
      },
      kurve/.style={kreis,
        looseness=1.4
      }
    ]
    \newcommand\aR{4cm}
    \newcommand\iR{2.5cm}
    \newcommand\winkel{10}
  % Koordinaten in der Mitte und den Ecken
    \path
      (0,0) coordinate(M)
      foreach \i in {1,2,3}
       {(M)+({-30+\i*120}:\aR) coordinate (A\i)};
  % Kreis zeichnen
    \draw[kreis](M) circle [radius=\iR];
  % Bounding Box begrenzen
    \draw[kurve,opacity=0]
      ([yshift=\pgflinewidth]A1)--([xshift=-\pgflinewidth]A2)--([xshift=\pgflinewidth]A3)--cycle;
    \clip(current bounding box.north west)rectangle(current bounding box.south east);
  % Kurve zeichnen
    \draw[kurve] (A3) 
      foreach \i in {1,2,3} {to [out = {90-\winkel+\i*120}, in = {90+\winkel + \i*120}] (A\i)}
      --cycle;
  % Selbstüberlappung der Kurve korrigieren
    \begin{scope}
      \clip (M) rectangle (-\iR,\iR);
      \draw[kurve](A3) to [out={210-\winkel}, in={210+\winkel}] (A1);
    \end{scope}
    \begin{scope}
      \clip (M)+(-\iR,0) rectangle +(\iR,-\iR);
      \draw[kurve](A1) to [out={330-\winkel}, in={330+\winkel}] (A2);
 
 
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