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La coordenada proyectada en TikZ no está colocada correctamente

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La coordenada proyectada en TikZ no está colocada correctamente

Estoy intentando dibujar un avión. Cuando estaba dibujando la ventana de la cabina, usaba puntos proyectados para obtener ángulos rectos. Pero las cosas no están saliendo como se esperaba. ¿Alguien podría darme una indicación sobre lo que estoy haciendo incorrectamente?

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{calc}
\pagestyle{empty}
\begin{document}

\def\aeBodyRadius{0.25cm}
\def\aeBodyNoseDistance{0.21cm}
\begin{tikzpicture}[x=5cm,y=5cm,scale=3,every node={transform shape}]

  \coordinate (TAIL) at (0,0);
  \coordinate (NOSE) at ($(TAIL)+(30:1)$);

  \coordinate (MID)     at ($(TAIL)!0.75!(NOSE)$);

  \coordinate (MID/TOP) at ($(MID)!\aeBodyRadius!90:(NOSE)$);
  \coordinate (MID/BOT) at ($(MID)!\aeBodyRadius!-90:(NOSE)$);

  \coordinate (NOSE/TIP) at ($(NOSE)!\aeBodyNoseDistance!90:(MID)$);

  \coordinate (HIND/TOP) at ($(TAIL)!\aeBodyRadius!90:(NOSE)$);
  \coordinate (HIND/BOT) at ($(TAIL)!\aeBodyRadius!-90:(NOSE)$);

  \node[fill,circle,inner sep=1pt] at (MID/TOP) {};
  \node[fill,circle,inner sep=1pt] at (MID/BOT) {};
  \node[fill,circle,inner sep=1pt] at (HIND/TOP) {};
  \node[fill,circle,inner sep=1pt] at (HIND/BOT) {};

  \draw[rounded corners=10pt] 
                             (HIND/TOP) --
                             (MID/TOP)  --
                             node [pos=0.25] (WINDOW/TOP/N) {}
                             node [pos=0.50] (WINDOW/BOT/N) {}
                             (NOSE/TIP) -- 
                             (MID/BOT)  --
                             (HIND/BOT);
    \coordinate (WINDOW/TOP) at (WINDOW/TOP/N.center);
    \coordinate (WINDOW/BOT) at (WINDOW/BOT/N.center);

    \coordinate (WINDOW/RIG/T) at ($(TAIL)!(WINDOW/TOP)!(NOSE)$);
    \coordinate (WINDOW/RIG)   at ($(WINDOW/TOP)!(WINDOW/BOT)!(WINDOW/RIG/T)$);

    \draw (WINDOW/TOP) -- (WINDOW/RIG) -- (WINDOW/BOT);

    \draw[red] (TAIL) -- (NOSE);

\end{tikzpicture}

\end{document}

ingrese la descripción de la imagen aquí

La línea "roja" que recorre el centro del avión muestra claramente cómo miperpendicularno es lo que debería ser.

ACTUALIZAR

Lo que parecenoestar funcionando es el siguiente fragmento de código:

    \coordinate (WINDOW/RIG/T) at ($(TAIL)!(WINDOW/TOP)!(NOSE)$);
    \coordinate (WINDOW/RIG)   at ($(WINDOW/TOP)!(WINDOW/BOT)!(WINDOW/RIG/T)$);

Los puntos proyectados no parecen estar en la perpendicular adecuada. En particular, (WINDOW/RIG)debe estar por encima de la línea roja ya que la línea que pasa por (WINDOW/TOP)y (WINDOW/RIG/T)debe ser perpendicular a la línea roja que pasa por (TAIL)y (NOSE).

Respuesta1

Como lo mencionaA. Ellett, el error es causado por \pgfpointnormalised. En este se da una solución para obtener una mejor precisión.respuesta.

Aplicado en el MWE:

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{calc}
\pagestyle{empty}

% use the Mark Wibrow's correction
\makeatletter
\def\pgfpointnormalised#1{%
\pgf@process{#1}%
\pgfmathatantwo{\the\pgf@y}{\the\pgf@x}%
\let\pgf@tmp=\pgfmathresult%
\pgfmathcos@{\pgf@tmp}\pgf@x=\pgfmathresult pt\relax%
\pgfmathsin@{\pgf@tmp}\pgf@y=\pgfmathresult pt\relax%
}
\makeatother

\begin{document}

\def\aeBodyRadius{0.25cm}
\def\aeBodyNoseDistance{0.21cm}
\begin{tikzpicture}[x=5cm,y=5cm,scale=3,every node={transform shape}]

  \coordinate (TAIL) at (0,0);
  \coordinate (NOSE) at ($(TAIL)+(30:1)$);

  \coordinate (MID)     at ($(TAIL)!0.75!(NOSE)$);

  \coordinate (MID/TOP) at ($(MID)!\aeBodyRadius!90:(NOSE)$);
  \coordinate (MID/BOT) at ($(MID)!\aeBodyRadius!-90:(NOSE)$);

  \coordinate (NOSE/TIP) at ($(NOSE)!\aeBodyNoseDistance!90:(MID)$);

  \coordinate (HIND/TOP) at ($(TAIL)!\aeBodyRadius!90:(NOSE)$);
  \coordinate (HIND/BOT) at ($(TAIL)!\aeBodyRadius!-90:(NOSE)$);

  \node[fill,circle,inner sep=1pt] at (MID/TOP) {};
  \node[fill,circle,inner sep=1pt] at (MID/BOT) {};
  \node[fill,circle,inner sep=1pt] at (HIND/TOP) {};
  \node[fill,circle,inner sep=1pt] at (HIND/BOT) {};

  \draw[rounded corners=10pt] 
                             (HIND/TOP) --
                             (MID/TOP)  --
                             node [pos=0.25] (WINDOW/TOP/N) {}
                             node [pos=0.50] (WINDOW/BOT/N) {}
                             (NOSE/TIP) -- 
                             (MID/BOT)  --
                             (HIND/BOT);
    \coordinate (WINDOW/TOP) at (WINDOW/TOP/N.center);
    \coordinate (WINDOW/BOT) at (WINDOW/BOT/N.center);

    \coordinate (WINDOW/RIG/T) at ($(TAIL)!(WINDOW/TOP)!(NOSE)$);
    \coordinate (WINDOW/RIG)   at ($(WINDOW/TOP)!(WINDOW/BOT)!(WINDOW/RIG/T)$);

    \draw (WINDOW/TOP) -- (WINDOW/RIG) -- (WINDOW/BOT);

    \draw[red] (TAIL) -- (NOSE);

\end{tikzpicture}

\end{document}

ingrese la descripción de la imagen aquí

Respuesta2

Probablemente pretendías colocar WINDOW/RIG/T a lo largo del eje principal, pero funcionó. (Si no está roto...)

¡Vvvoooom!

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{calc}
\pagestyle{empty}
\begin{document}
\def\aeBodyRadius{0.25cm}
\def\aeBodyNoseDistance{0.21cm}
\begin{tikzpicture}[x=5cm,y=5cm,scale=3,every node={transform shape}]
  \coordinate (TAIL) at (0,0);
  \coordinate (NOSE) at ($(TAIL)+(30:1)$);
  \coordinate (MID)     at ($(TAIL)!0.75!(NOSE)$);
  \coordinate (MID/TOP) at ($(MID)!\aeBodyRadius!90:(NOSE)$);
  \coordinate (MID/BOT) at ($(MID)!\aeBodyRadius!-90:(NOSE)$);
  \coordinate (NOSE/TIP) at ($(NOSE)!\aeBodyNoseDistance!90:(MID)$);
  \coordinate (HIND/TOP) at ($(TAIL)!\aeBodyRadius!90:(NOSE)$);
  \coordinate (HIND/BOT) at ($(TAIL)!\aeBodyRadius!-90:(NOSE)$);
  \node[fill,circle,inner sep=1pt] at (MID/TOP) {};
  \node[fill,circle,inner sep=1pt] at (MID/BOT) {};
  \node[fill,circle,inner sep=1pt] at (HIND/TOP) {};
  \node[fill,circle,inner sep=1pt] at (HIND/BOT) {};
  \draw[rounded corners=10pt] 
                             (HIND/TOP) --
                             (MID/TOP)  --
                             node [pos=0.25] (WINDOW/TOP/N) {}
                             node [pos=0.50] (WINDOW/BOT/N) {}
                             (NOSE/TIP) -- 
                             (MID/BOT)  --
                             (HIND/BOT);
  \coordinate (WINDOW/TOP) at (WINDOW/TOP/N.center);
  \coordinate (WINDOW/BOT) at (WINDOW/BOT/N.center);

%start of modifications
   \coordinate (WINDOW/RIG/T) at ($(TAIL)!(WINDOW/TOP)!90:(NOSE)$);
   \coordinate (WINDOW/RIG)   at ($(WINDOW/TOP)!(WINDOW/BOT)!90:(WINDOW/RIG/T)$);
   \node[fill,circle,inner sep=1pt] at (WINDOW/RIG/T) {};% way down near the tail
   \draw[blue] (WINDOW/TOP) -- (WINDOW/RIG) -- (WINDOW/BOT);
%end of modifications

   \draw[red] (TAIL) -- (NOSE);

\end{tikzpicture}

\end{document}

Respuesta3

Para mostrar lo que quise decir al dibujarlo plano y rotarlo:

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{calc}
\pagestyle{empty}

\newlength{\myx}
\newlength{\myy}

\begin{document}
\def\aeBodyRadius{0.25cm}
\def\aeBodyNoseDistance{0.21cm}
\begin{tikzpicture}[x=5cm,y=5cm,scale=3,every node={transform shape},rotate=30]% changed here
  \coordinate (TAIL) at (0,0);
  \coordinate (NOSE) at ($(TAIL)+(1,0)$);% changed here
  \coordinate (MID)     at ($(TAIL)!0.75!(NOSE)$);
  \coordinate (MID/TOP) at ($(MID)!\aeBodyRadius!90:(NOSE)$);
  \coordinate (MID/BOT) at ($(MID)!\aeBodyRadius!-90:(NOSE)$);
  \coordinate (NOSE/TIP) at ($(NOSE)!\aeBodyNoseDistance!90:(MID)$);
  \coordinate (HIND/TOP) at ($(TAIL)!\aeBodyRadius!90:(NOSE)$);
  \coordinate (HIND/BOT) at ($(TAIL)!\aeBodyRadius!-90:(NOSE)$);
  \node[fill,circle,inner sep=1pt] at (MID/TOP) {};
  \node[fill,circle,inner sep=1pt] at (MID/BOT) {};
  \node[fill,circle,inner sep=1pt] at (HIND/TOP) {};
  \node[fill,circle,inner sep=1pt] at (HIND/BOT) {};
  \draw[rounded corners=10pt] 
                             (HIND/TOP) --
                             (MID/TOP)  --
                             node [pos=0.25] (WINDOW/TOP/N) {}
                             node [pos=0.50] (WINDOW/BOT/N) {}
                             (NOSE/TIP) -- 
                             (MID/BOT)  --
                             (HIND/BOT);
  \coordinate (WINDOW/TOP) at (WINDOW/TOP/N.center);
  \coordinate (WINDOW/BOT) at (WINDOW/BOT/N.center);

  \node[fill,circle,inner sep=1pt] at (NOSE) {};
  \node[fill,circle,inner sep=1pt] at (TAIL) {};
  \coordinate (WINDOW/RIG/T) at ($(TAIL)!(WINDOW/TOP)!(NOSE)$);
  \coordinate (WINDOW/RIG)   at ($(WINDOW/TOP)!(WINDOW/BOT)!(WINDOW/RIG/T)$);
  \node[fill,circle,inner sep=1pt] at (WINDOW/RIG/T) {};
  \draw[blue] (WINDOW/TOP) -- (WINDOW/RIG) -- (WINDOW/BOT);
  \draw[red] (TAIL) -- (NOSE);

\end{tikzpicture}

\end{document}

girado

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