\filldraw no se está llenando

Question

Tengo una imagen en mi tesis donde analizo las similitudes de los conceptos básicos de color y una brújula. La imagen original es algo que junté mal en Paint, pero pensé que podría mejorarla un poco juntando algo mal con tikz. Esta es la imagen original: Mi plan es tener al final algo vagamente parecido a esto, pero en este momento estoy estancado porque el área que estoy tratando de llenar con negro no se llena y no puedo entender qué estoy haciendo mal. Así luce en este momento:

Quería que el área entre las dos líneas del norte fuera de color negro. Y este es mi código:

\documentclass{book}
\usepackage{tikz}
\usetikzlibrary {decorations.pathmorphing}
\begin{document}

\begin{tikzpicture}[inner sep=0,outer sep=0,]

    % circles (from centre)
    \node[thick,draw=black,circle,
        minimum size=1cm,
        decorate,
        decoration={random steps,segment length=1.5pt,amplitude=0.2pt}] (centre) at (0,0) {};
        
    \node[thick,draw=black,circle,
        minimum size=4.5cm,
        decorate,
        decoration={random steps,segment length=1.5pt,amplitude=0.2pt}] (inedge) at (0,0) {};
        
    \node[thick,draw=black,circle,
        minimum size=5cm,
        decorate,
        decoration={random steps,segment length=1.5pt,amplitude=0.2pt}] (outedge) at (0,0) {};
    
    % main direction nodes
    \begin{scope}[label distance=0.5cm]
    % North
    \node[thick,draw=black,circle,
        minimum size=0.3cm,
        label=above:\Large{$\mathcal{N}$}] (N) at (0,3.5) {};
        
        \node[circle,draw=black,fill=black,
        minimum size=1.5mm] (n) at (0,3.5) {};
    % East  
    \node[thick,draw=black,circle,
        minimum size=0.3cm,
        label=right:\Large{$\mathcal{E}$}] (E) at (3.5,0) {};
        
        \node[circle,draw=black,fill=black,
        minimum size=1.5mm] (e) at (3.5,0) {};
    % South
    \node[thick,draw=black,circle,
        minimum size=0.3cm,
        label=below:\Large{$\mathcal{S}$}] (S) at (0,-3.5) {};
        
        \node[circle,draw=black,fill=black,
        minimum size=1.5mm] (s) at (0,-3.5) {};
    % West  
    \node[thick,draw=black,circle,
        minimum size=0.3cm,
        label=left:\Large{$\mathcal{W}$}] (W) at (-3.5,0) {};
        
        \node[circle,draw=black,fill=black,
        minimum size=1.5mm] (w) at (-3.5,0) {};
    \end{scope}
    
    % mainlines
    \draw[thick,
        decorate,
        decoration={random steps,segment length=3pt,amplitude=0.1pt}]
        (centre) -- (N);
        
    \draw[thick,
        decorate,
        decoration={random steps,segment length=3pt,amplitude=0.1pt}]
        (centre) -- (E);

    \draw[thick,
        decorate,
        decoration={random steps,segment length=3pt,amplitude=0.1pt}]
        (centre) -- (S);

    \draw[thick,
        decorate,
        decoration={random steps,segment length=3pt,amplitude=0.1pt}]
        (centre) -- (W);

    % Main points
    \filldraw[black] (-0.35cm,0.35cm) -- (N) -- (centre) -- cycle; % why u no fill?!!

\end{tikzpicture}

\end{document}

Me doy cuenta de que mi código es muy repetitivo, pero intenté definir los aspectos de tikzpicturey crear un /.stylepero no tuve éxito, así que decidí hacerlo de esta manera para que funcione y limpiarlo más tarde cuando tenga todos los detalles resueltos.

Answer 1

deberías usar coordenadas en lugar de nodos:

\documentclass{book}
\usepackage{tikz}
\usetikzlibrary {decorations.pathmorphing}
\begin{document}

\begin{tikzpicture}[inner sep=0,outer sep=0,]

    % circles (from centre)
    \node[thick,draw=black,circle,
        minimum size=1cm,
        decorate,
        decoration={random steps,segment length=1.5pt,amplitude=0.2pt}] (centre) at (0,0) {};

    \node[thick,draw=black,circle,
        minimum size=4.5cm,
        decorate,
        decoration={random steps,segment length=1.5pt,amplitude=0.2pt}] (inedge) at (0,0) {};

    \node[thick,draw=black,circle,
        minimum size=5cm,
        decorate,
        decoration={random steps,segment length=1.5pt,amplitude=0.2pt}] (outedge) at (0,0) {};

    % main direction nodes
    \begin{scope}[label distance=0.5cm]
    % North
    \node[thick,draw=black,circle,
        minimum size=0.3cm,
        label=above:\Large{$\mathcal{N}$}] (N) at (0,3.5) {};

        \node[circle,draw=black,fill=black,
        minimum size=1.5mm] (n) at (0,3.5) {};
    % East
    \node[thick,draw=black,circle,
        minimum size=0.3cm,
        label=right:\Large{$\mathcal{E}$}] (E) at (3.5,0) {};

        \node[circle,draw=black,fill=black,
        minimum size=1.5mm] (e) at (3.5,0) {};
    % South
    \node[thick,draw=black,circle,
        minimum size=0.3cm,
        label=below:\Large{$\mathcal{S}$}] (S) at (0,-3.5) {};

        \node[circle,draw=black,fill=black,
        minimum size=1.5mm] (s) at (0,-3.5) {};
    % West
    \node[thick,draw=black,circle,
        minimum size=0.3cm,
        label=left:\Large{$\mathcal{W}$}] (W) at (-3.5,0) {};

        \node[circle,draw=black,fill=black,
        minimum size=1.5mm] (w) at (-3.5,0) {};
    \end{scope}

    % mainlines
    \draw[thick,
        decorate,
        decoration={random steps,segment length=3pt,amplitude=0.1pt}]
        (centre) -- (N);

    \draw[thick,
        decorate,
        decoration={random steps,segment length=3pt,amplitude=0.1pt}]
        (centre) -- (E);

    \draw[thick,
        decorate,
        decoration={random steps,segment length=3pt,amplitude=0.1pt}]
        (centre) -- (S);

    \draw[thick,
        decorate,
        decoration={random steps,segment length=3pt,amplitude=0.1pt}]
        (centre) -- (W);

    % Main points
    \filldraw[draw=red,fill=blue] (-0.35cm,0.35cm) -- (N.north) -- (centre.center) -- cycle; % why u no fill?!!


\end{tikzpicture}

\end{document}