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plano de recorte dinámico con TikZ

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plano de recorte dinámico con TikZ

Tengo un problema con TikZ. Me gustaría dibujar un plano de recorte dinámico. la parte superior del área roja es dinámica, la azul debe tener el mismo nivel alto pero una dimensión mucho mayor... para separar la óptica del área roja. ¿algunas ideas?

ActualizarAgregué otra imagen para dejar claro mi punto. el cuadrado azul debe encajar perfectamente encima del tronco rojo. Debería ser dinámico, por lo que si cambio la altura del tronco, el cuadrado azul también se moverá. Mi problema es que la altura del tronco rojo es parte del rayo desde el punto de vista hasta el fondo. Si es posible dar un parámetro para la altura que se ajuste a la perspectiva y al rayo, creo que eso también resolvería el problema.

\begin{tikzpicture}[scale=1]
\usetikzlibrary{calc}
        %%% Parameter %%%
        \pgfmathsetmacro{\frameHeight}{8}
        \pgfmathsetmacro{\frameWidth}{0.92}
        \pgfmathsetmacro{\frameDepth}{0.87}
        \pgfmathsetmacro{\viewpointDepth}{0.5}
        \pgfmathsetmacro{\viewpointCentering}{0.5}
        \pgfmathsetmacro{\projectionHeight}{0.36}
        \pgfmathsetmacro{\projectionWidth}{0.96}
        \pgfmathsetmacro{\projectionDepth}{0.07}
            % Fluchtpunkte
        \coordinate (F1) at (30:50cm);
        \coordinate (F2) at (150:50cm);
            % Eckpunkte
        \coordinate (P1) at (0cm,0cm);                  % v U
        \coordinate (P2) at (0cm,\frameHeight);     % v O
        \coordinate (P3) at ($(F1)!\frameDepth!(P1)$);  % h U
        \coordinate (P4) at ($(F1)!\frameDepth!(P2)$);  % h O
        \coordinate (P5) at ($(F2)!\frameWidth!(P1)$);  
        \coordinate (P6) at ($(F2)!\frameWidth!(P2)$);
        \coordinate (P7) at (intersection cs: first line={(P5) -- (F1)}, second line={(P3) -- (F2)});
        \coordinate (P8) at (intersection cs: first line={(P6) -- (F1)}, second line={(P4) -- (F2)});
        \coordinate (P9) at ($(P2)!\viewpointDepth!(P4)$);
        \coordinate (P10) at (intersection cs: first line={(P9) -- (F2)}, second line={(P6) -- (P8)});
            % Sichtfeld
        \coordinate (A) at ($(P5)!\projectionWidth!(P1)$);
        \coordinate (B) at ($(P1)!\projectionWidth!(P5)$);
        \coordinate (C) at ($(A)!\projectionDepth!(F1)$);   
        \coordinate (D) at (intersection cs: first line={(C) -- (F2)}, second line={(B) -- (F1)});  
        \coordinate (V) at ($(P9)!\viewpointCentering!(P10)$);
            % Nutzfläche Schnitt
        \coordinate (E) at ($(A)!\projectionHeight!(V)$);
        \coordinate (F) at (intersection cs: first line={(E) -- (F2)}, second line={(V) -- (B)});
        \coordinate (G) at (intersection cs: first line={(E) -- (F1)}, second line={(V) -- (C)});
        \coordinate (H) at (intersection cs: first line={(F) -- (F1)}, second line={(V) -- (D)});
            % nutz Sichtfeld Ebene
        \coordinate (P11) at ($(E)$); %({(E)--(F2)}:2);
        \coordinate (P12) at ($(F)$);
        \coordinate (P13) at ($(G)$);
        \coordinate (P14) at ($(H)$);
            % real Sichtfeld Ebene
        \coordinate (P15) at (0, -1);
        \coordinate (P16) at ($(P15)!0.115!(F2)$);
        \coordinate (P17) at ($(F1)!0.835!(P15)$);
        \coordinate (P18) at (intersection cs: first line={(P16) -- (F1)}, second line={(P17) -- (F2)});
        %Linien
        \draw[rounded corners, draw=black!80, fill=yellow!80, opacity=0.5] (P15) -- (P16) -- (P18) -- (P17)  -- cycle;
            % Tiefe / Verlauf
        \begin{scope}[opacity=0.2]
        \shade[top color=gray!70,bottom color=gray!5] (P1) -- (P3) -- (P7) -- (P5);
        \shade[right color=gray!70,left color=gray!5] (P5) -- (P6) -- (P8) -- (P7);
        \shade[left color=gray!70,right color=gray!5] (P7) -- (P3) -- (P4) -- (P8);
        \end{scope}
            % Sichtfeld der Kamera
        \fill [red!80, opacity=0.4] (A) -- (B) -- (D) -- (C);
        \begin{scope}[thin, dashed, red]%thick, dashed, fill=red!80, opacity=1]
            \draw (A) -- (V);
            \draw (B) -- (V);
            \draw (C) -- (V);
            \draw (D) -- (V);
        \end{scope}
        \begin{scope}[red]
            \draw (A) -- (E);
            \draw (B) -- (F);
            \draw (D) -- (H);
            \draw (C) -- (G);
        \end{scope}
        \draw [thin, red] (A) -- (B) -- (D) -- (C) -- (A);
        \draw [thin, red] (E) -- (F) -- (H) -- (G) -- (E);
        %\draw [thick, red!80] (
        \begin{scope}[red!80, opacity=0.1]
            \fill (A) -- (B) -- (F) -- (E);
            \fill (C) -- (A) -- (E) -- (G);
            \fill (D) -- (C) -- (G) -- (H);
            \fill (B) -- (D) -- (H) -- (F);
        \end{scope}
        \draw[rounded corners, draw=black!80, fill=blue!80, opacity=0.5] (P11) -- (P12) -- (P14) -- (P13) -- cycle;
            % Frame
        \begin{scope}[thin, opacity=0.6]
            \draw (P1) -- (P3) -- (P4) -- (P2) -- (P1) ;
            \draw (P1) -- (P5) -- (P6) -- (P2) -- (P1) ;
            \draw (P2) -- (P6) -- (P8) -- (P4) -- (P2) ;
            \draw (P3) -- (P7) -- (P8) -- (P4) -- (P3) ;
            \draw (P1) -- (P5) -- (P7) -- (P3) -- (P1) ;
        \end{scope}
        \draw[thin,dashed] (P9) -- (P10);
        % Verbindungspunkte
        \foreach \i in {1,2,...,10}
            {
             \shade[shading=ball, ball color=black!80] (P\i) circle (0.05em) node[above right] {}; %\tiny \i};
            }
        \foreach \i in {A, B,...,H}
            {
            \shade[shading=ball, ball color=red] (\i) circle (0.05em) node[above right] {}; %\tiny \i};
            }
        %Beschriftung
        %\draw[fill=red] (V) circle (0.25em) node[above right] {\tiny Viewpoint};
        \shade[shading=ball, ball color=red] (V) circle (0.25em) node[above right] {\tiny Betrachtungspunkt};
        \draw[] (4.75,0.8) to[out=90,in=-90] (0.75,2);
        \draw (4.75,0.5) node[] {\footnotesize nutzbares Sichtfeld};
        \draw[] (-5.5,4.3) to[out=90,in=-90] (-0.5,4.5);
        \draw (-5.5,4) node[] {\footnotesize unterer Schwellwert};
        \draw[] (-5.5,0.8) to[out=90,in=-90] (-3,1.4);
        \draw (-5.5,0.5) node[] {\footnotesize oberer Schwellwert};
\end{tikzpicture}

ingrese la descripción de la imagen aquí ingrese la descripción de la imagen aquí

Respuesta1

¿Es esto lo que quieres (cambiar el \projectionHeightvalor moverá el tronco y el plano juntos)?

\documentclass{report}
\usepackage[T1]{fontenc}


\usepackage{pgfplots}
\usetikzlibrary{intersections}


\begin{document}

\begin{tikzpicture}[scale=1]
\usetikzlibrary{calc}
        %%% Parameter %%%
        \pgfmathsetmacro{\frameHeight}{8}
        \pgfmathsetmacro{\frameWidth}{0.92}
        \pgfmathsetmacro{\frameDepth}{0.87}
        \pgfmathsetmacro{\viewpointDepth}{0.5}
        \pgfmathsetmacro{\viewpointCentering}{0.5}
        \pgfmathsetmacro{\projectionHeight}{0.5}
        \pgfmathsetmacro{\projectionWidth}{0.96}
        \pgfmathsetmacro{\projectionDepth}{0.07}
            % Fluchtpunkte
        \coordinate (F1) at (30:50cm);
        \coordinate (F2) at (150:50cm);
            % Eckpunkte
        \coordinate (P1) at (0cm,0cm);                  % v U
        \coordinate (P2) at (0cm,\frameHeight);     % v O
        \coordinate (P3) at ($(F1)!\frameDepth!(P1)$);  % h U
        \coordinate (P4) at ($(F1)!\frameDepth!(P2)$);  % h O
        \coordinate (P5) at ($(F2)!\frameWidth!(P1)$);  
        \coordinate (P6) at ($(F2)!\frameWidth!(P2)$);
        \coordinate (P7) at (intersection cs: first line={(P5) -- (F1)}, second line={(P3) -- (F2)});
        \coordinate (P8) at (intersection cs: first line={(P6) -- (F1)}, second line={(P4) -- (F2)});
        \coordinate (P9) at ($(P2)!\viewpointDepth!(P4)$);
        \coordinate (P10) at (intersection cs: first line={(P9) -- (F2)}, second line={(P6) -- (P8)});
            % Sichtfeld
        \coordinate (A) at ($(P5)!\projectionWidth!(P1)$);
        \coordinate (B) at ($(P1)!\projectionWidth!(P5)$);
        \coordinate (C) at ($(A)!\projectionDepth!(F1)$);   
        \coordinate (D) at (intersection cs: first line={(C) -- (F2)}, second line={(B) -- (F1)});  
        \coordinate (V) at ($(P9)!\viewpointCentering!(P10)$);
            % Nutzfläche Schnitt
        \coordinate (E) at ($(A)!\projectionHeight!(V)$);
        \coordinate (F) at (intersection cs: first line={(E) -- (F2)}, second line={(V) -- (B)});
        \coordinate (G) at (intersection cs: first line={(E) -- (F1)}, second line={(V) -- (C)});
        \coordinate (H) at (intersection cs: first line={(F) -- (F1)}, second line={(V) -- (D)});
            % nutz Sichtfeld Ebene
        \coordinate (P11) at ($(E)$); %({(E)--(F2)}:2);
        \coordinate (P12) at ($(F)$);
        \coordinate (P13) at ($(G)$);
        \coordinate (P14) at ($(H)$);
            % real Sichtfeld Ebene
        \coordinate (P15) at (0, -1);
        \coordinate (P16) at ($(P15)!0.115!(F2)$);
        \coordinate (P17) at ($(F1)!0.835!(P15)$);
        \coordinate (P18) at (intersection cs: first line={(P16) -- (F1)}, second line={(P17) -- (F2)});
        \coordinate (P15') at (0, \projectionHeight*\frameHeight);
        \coordinate (P16') at ($(P15')!0.115!(F2)$);
        \coordinate (P17') at ($(F1)!0.835!(P15')$);
        \coordinate (P18') at (intersection cs: first line={(P16') -- (F1)}, second line={(P17') -- (F2)});
        %Linien
        \draw[rounded corners, draw=black!80, fill=yellow!80, opacity=0.5] (P15) -- (P16) -- (P18) -- (P17)  -- cycle;
        \draw[rounded corners, draw=black!80, fill=cyan!80, opacity=0.5] (P15') -- (P16') -- (P18') -- (P17')  -- cycle;
            % Tiefe / Verlauf
        \begin{scope}[opacity=0.2]
        \shade[top color=gray!70,bottom color=gray!5] (P1) -- (P3) -- (P7) -- (P5);
        \shade[right color=gray!70,left color=gray!5] (P5) -- (P6) -- (P8) -- (P7);
        \shade[left color=gray!70,right color=gray!5] (P7) -- (P3) -- (P4) -- (P8);
        \end{scope}
            % Sichtfeld der Kamera
        \fill [red!80, opacity=0.4] (A) -- (B) -- (D) -- (C);
        \begin{scope}[thin, dashed, red]%thick, dashed, fill=red!80, opacity=1]
            \draw (A) -- (V);
            \draw (B) -- (V);
            \draw (C) -- (V);
            \draw (D) -- (V);
        \end{scope}
        \begin{scope}[red]
            \draw (A) -- (E);
            \draw (B) -- (F);
            \draw (D) -- (H);
            \draw (C) -- (G);
        \end{scope}
        \draw [thin, red] (A) -- (B) -- (D) -- (C) -- (A);
        \draw [thin, red] (E) -- (F) -- (H) -- (G) -- (E);
        %\draw [thick, red!80] (
        \begin{scope}[red!80, opacity=0.1]
            \fill (A) -- (B) -- (F) -- (E);
            \fill (C) -- (A) -- (E) -- (G);
            \fill (D) -- (C) -- (G) -- (H);
            \fill (B) -- (D) -- (H) -- (F);
        \end{scope}
            % Frame
        \begin{scope}[thin, opacity=0.6]
            \draw (P1) -- (P3) -- (P4) -- (P2) -- (P1) ;
            \draw (P1) -- (P5) -- (P6) -- (P2) -- (P1) ;
            \draw (P2) -- (P6) -- (P8) -- (P4) -- (P2) ;
            \draw (P3) -- (P7) -- (P8) -- (P4) -- (P3) ;
            \draw (P1) -- (P5) -- (P7) -- (P3) -- (P1) ;
        \end{scope}
        \draw[thin,dashed] (P9) -- (P10);
        % Verbindungspunkte
        \foreach \i in {1,2,...,10}
            {
             \shade[shading=ball, ball color=black!80] (P\i) circle (0.05em) node[above right] {}; %\tiny \i};
            }
        \foreach \i in {A, B,...,H}
            {
            \shade[shading=ball, ball color=red] (\i) circle (0.05em) node[above right] {}; %\tiny \i};
            }
        %Beschriftung
        %\draw[fill=red] (V) circle (0.25em) node[above right] {\tiny Viewpoint};
        \shade[shading=ball, ball color=red] (V) circle (0.25em) node[above right] {\tiny Betrachtungspunkt};
        \draw[] (4.75,0.8) to[out=90,in=-90] (0.75,2);
        \draw (4.75,0.5) node[] {\footnotesize nutzbares Sichtfeld};
        \draw[] (-5.5,4.3) to[out=90,in=-90] (-0.5,4.5);
        \draw (-5.5,4) node[] {\footnotesize unterer Schwellwert};
        \draw[] (-5.5,0.8) to[out=90,in=-90] (-3,1.4);
        \draw (-5.5,0.5) node[] {\footnotesize oberer Schwellwert};
\end{tikzpicture}


\end{document}

Respuesta2

Solución final. Gracias a todos

\begin{tikzpicture}[scale=0.9]
\usetikzlibrary{calc}
        %%% Parameter %%%
        \pgfmathsetmacro{\frameHeight}{8}
        \pgfmathsetmacro{\frameWidth}{0.92}
        \pgfmathsetmacro{\frameDepth}{0.87}
        \pgfmathsetmacro{\viewpointDepth}{0.5}
        \pgfmathsetmacro{\viewpointCentering}{0.6}
        \pgfmathsetmacro{\projectionHeight}{0.36}
        \pgfmathsetmacro{\projectionWidth}{0.96}
        \pgfmathsetmacro{\projectionDepth}{0.07}
        \pgfmathsetmacro{\clippingPlaneHeight}{0.1}
        \pgfmathsetmacro{\clippingPlaneWidth}{0.91}
        %%%%%%%%%%%%
        %%%%%%%%%%%%
            % Fluchtpunkte
        \coordinate (F1) at (30:50cm);
        \coordinate (F2) at (150:50cm);
            % Eckpunkte
        \coordinate (P1) at (0cm,0cm);                  % v U
        \coordinate (P2) at (0cm,\frameHeight);     % v O
        \coordinate (P3) at ($(F1)!\frameDepth!(P1)$);  % h U
        \coordinate (P4) at ($(F1)!\frameDepth!(P2)$);  % h O
        \coordinate (P5) at ($(F2)!\frameWidth!(P1)$);  
        \coordinate (P6) at ($(F2)!\frameWidth!(P2)$);
        \coordinate (P7) at (intersection cs: first line={(P5) -- (F1)}, second line={(P3) -- (F2)});
        \coordinate (P8) at (intersection cs: first line={(P6) -- (F1)}, second line={(P4) -- (F2)});
        \coordinate (P9) at ($(P2)!\viewpointDepth!(P4)$);
        \coordinate (P10) at (intersection cs: first line={(P9) -- (F2)}, second line={(P6) -- (P8)});
            % Sichtfeld
        \coordinate (A) at ($(P5)!\projectionWidth!(P1)$);
        \coordinate (B) at ($(P1)!\projectionWidth!(P5)$);
        \coordinate (C) at ($(A)!\projectionDepth!(F1)$);   
        \coordinate (D) at (intersection cs: first line={(C) -- (F2)}, second line={(B) -- (F1)});  
        \coordinate (V) at ($(P9)!\viewpointCentering!(P10)$);
            % Nutzfläche Schnitt
        \coordinate (E) at ($(A)!\projectionHeight!(V)$);
        \coordinate (F) at (intersection cs: first line={(E) -- (F2)}, second line={(V) -- (B)});
        \coordinate (G) at (intersection cs: first line={(E) -- (F1)}, second line={(V) -- (C)});
        \coordinate (H) at (intersection cs: first line={(F) -- (F1)}, second line={(V) -- (D)});
            % nutz Sichtfeld Ebene
        \coordinate (P11) at (0, \projectionHeight*\frameHeight-0.5);
        \coordinate (P12) at ($(P11)!\clippingPlaneHeight!(F2)$);
        \coordinate (P13) at ($(F1)!\clippingPlaneWidth!(P11)$);
        \coordinate (P14) at at (intersection cs: first line={(P12) -- (F1)}, second line={(P13) -- (F2)});
            % real Sichtfeld Ebene
        \coordinate (P15) at (0, -0.5);
        \coordinate (P16) at ($(P15)!\clippingPlaneHeight!(F2)$);
        \coordinate (P17) at ($(F1)!\clippingPlaneWidth!(P15)$);
        \coordinate (P18) at (intersection cs: first line={(P16) -- (F1)}, second line={(P17) -- (F2)});
            % Hilfspunkte Höhe Ebene
        \coordinate (P19) at (0, \projectionHeight*\frameHeight);
        \coordinate (P20) at ($(F2)!\frameWidth!(P19)$);
        %Linien
        \draw[rounded corners, draw=black, fill=yellow!30, opacity=0.7] (P15) -- (P16) -- (P18) -- (P17)  -- cycle;
            % Tiefe / Verlauf
        \begin{scope}[opacity=0.1]
        \shade[top color=gray!70,bottom color=gray!5] (P1) -- (P3) -- (P7) -- (P5);
        \shade[right color=gray!70,left color=gray!5] (P5) -- (P6) -- (P8) -- (P7);
        \shade[left color=gray!70,right color=gray!5] (P7) -- (P3) -- (P4) -- (P8);
        \end{scope}
            %Frustum
        \begin{scope}[red!80]
            \draw (A) -- (E);
            \draw (B) -- (F);
            \draw (D) -- (H);
            \draw (C) -- (G);
        \end{scope}
            %Frame Unterteil + Hinterteil
        \draw[thick, color=black!25]  (P3) -- (P7) -- (P8)  (P5) -- (P7);
        \draw[thick, color=black!40]  (P20) -- (P5) -- (P1) -- (P19);
            % Sichtfeld der Kamera
        \fill [red!80, opacity=0.3] (A) -- (B) -- (D) -- (C);
        \fill [red!80, opacity=0.4] (E) -- (F) -- (H) -- (G);
        \draw [thin, red!80] (A) -- (B) -- (D) -- (C) -- (A);
        \draw [thin, red] (E) -- (F) -- (H) -- (G) -- (E);
        %\draw [thick, red!80] (
        \begin{scope}[red!80, opacity=0.1]
            \fill (A) -- (B) -- (F) -- (E);
            \fill (C) -- (A) -- (E) -- (G);
            \fill (D) -- (C) -- (G) -- (H);
            \fill (B) -- (D) -- (H) -- (F);
        \end{scope}
        \draw[rounded corners, draw=black, fill=blue!25, opacity=0.7] (P11) -- (P12) -- (P14) -- (P13) -- cycle;
        \begin{scope}[thin, dashed, red!80]%thick, dashed, fill=red!80, opacity=1]
            \draw (E) -- (V);
            \draw (F) -- (V);
            \draw (G) -- (V);
            \draw (H) -- (V);
            %\draw (F1) -- (F3);
            %\draw (F2) -- (F4);
        \end{scope}
            % Frame Oberteil
        \draw[thick,color=black!40] (P19) -- (P2) (P3) -- (P4) (P20) -- (P6)
                                        (P1) -- (P3) (P2) -- (P4) (P2)--(P6) (P6) -- (P8) -- (P4);
        \draw[thin,dashed, color=black !70] (P9) -- (P10);
        % Verbindungspunkte
        \foreach \i in {1,2,..., 10} %20}
            {
             %\shade[shading=ball, ball color=black!80] (P\i) circle (0.05em) node[above right] {}; %\tiny \i};
            }
        \foreach \i in {A, B,...,H}
            {
            %\shade[shading=ball, ball color=red!] (\i) circle (0.05em) node[above right] {}; %\tiny \i};
            }
        %Beschriftung
        %\draw[fill=red] (V) circle (0.25em) node[above right] {\tiny Viewpoint};
        \shade[shading=ball, ball color=red!80] (V) circle (0.25em) node[above right] {\footnotesize Kamera};
        %\draw (-1.1,9.3) node[] {\footnotesize Kamera};
        \draw[thin, -to] (4.75,0.8) to[out=135,in=-45] (0.75,2);
        \draw (4.75,0.5) node[] {\footnotesize nutzbares Sichtfeld};
        \draw[thin, -to] (-5.5,3.6) to[out=45,in=-135] (-3,4.2);
        \draw (-5.5,3.2) node[] {\footnotesize unterer Schwellwert};
        \draw[thin, -to] (-5.5,0.9) to[out=45,in=-135] (-3,1.5);
        \draw (-5.5,0.5) node[] {\footnotesize oberer Schwellwert};
\end{tikzpicture}

ingrese la descripción de la imagen aquí

Respuesta3

Aquí hay un enfoque que utiliza coordenadas 3D, de esta manera puede calcular directamente las esquinas del rectángulo azul y no necesita recortar. Puedes cambiar la altura del vértice ( \vertexheight), en qué porcentaje de la altura debe estar el rectángulo azul ( \posalongpath), así como la orientación y longitud de los ejes de coordenadas ( \Cangley \Clength).

El código

\documentclass[tikz]{standalone}
\usetikzlibrary{calc}

\begin{document}

\newcommand{\xangle}{7}
\newcommand{\yangle}{138}
\newcommand{\zangle}{90}

\newcommand{\xlength}{1}
\newcommand{\ylength}{1}
\newcommand{\zlength}{1}

\pgfmathsetmacro{\xx}{\xlength*cos(\xangle)}
\pgfmathsetmacro{\xy}{\xlength*sin(\xangle)}
\pgfmathsetmacro{\yx}{\ylength*cos(\yangle)}
\pgfmathsetmacro{\yy}{\ylength*sin(\yangle)}
\pgfmathsetmacro{\zx}{\zlength*cos(\zangle)}
\pgfmathsetmacro{\zy}{\zlength*sin(\zangle)}

\pgfmathsetmacro{\posalongpath}{0.37}
\pgfmathsetmacro{\vertexheight}{5}

\begin{tikzpicture}[x={(\xx cm,\xy cm)}, y={(\yx cm,\yy cm)}, z={(\zx cm,\zy cm)}]
    \coordinate (A) at (0,0,0);
    \coordinate (B) at (3,0,0);
    \coordinate (C) at (3,3,0);
    \coordinate (D) at (0,3,0);
    \coordinate (V) at (2,2,\vertexheight);

    \path (A) -- (V) coordinate[pos=\posalongpath] (A-V);
    \path (B) -- (V) coordinate[pos=\posalongpath] (B-V);
    \path (C) -- (V) coordinate[pos=\posalongpath] (C-V);
    \path (D) -- (V) coordinate[pos=\posalongpath] (D-V);

    \pgfmathsetmacro{\blueheight}{\posalongpath*\vertexheight}

    \coordinate (A1) at ($(A-V) + (0,0,-\blueheight)$);
    \coordinate (B1) at ($(B-V) + (0,0,-\blueheight)$);
    \coordinate (C1) at ($(C-V) + (0,0,-\blueheight)$);
    \coordinate (D1) at ($(D-V) + (0,0,-\blueheight)$);

    \fill[red,opacity=0.5,draw=red!80!black,thick] (A) -- (B) -- (C) -- (D) -- cycle;

    \fill[yellow,opacity=0.5,draw=red!80!black,thick] (A1) -- (B1) -- (C1) -- (D1) -- cycle;

    \draw[red!50!black] (A) -- (A-V) (B) -- (B-V) (C) -- (C-V) (D) -- (D-V);
    \draw[blue!50!yellow,densely dashed] (A1) -- (A-V) (B1) -- (B-V) (C1) -- (C-V) (D1) -- (D-V);

    \fill[blue,opacity=0.5,draw=blue!80!black,thick] (A-V) -- (B-V) -- (C-V) -- (D-V) -- cycle; 

    \draw[red!50!black,densely dashed] (V) -- (A-V) (V) -- (B-V) (V) -- (C-V) (V) -- (D-V);

    \fill[red,opacity=0.2] (A) -- (B) -- (B-V) -- (A-V) -- (D-V) -- (D) -- cycle;

\end{tikzpicture}

\end{document}

La salida

ingrese la descripción de la imagen aquí

Salida alternativa

\newcommand{\xangle}{45}
\newcommand{\yangle}{150}
\newcommand{\zangle}{90}
\pgfmathsetmacro{\posalongpath}{0.12}
\pgfmathsetmacro{\vertexheight}{7}

ingrese la descripción de la imagen aquí

información relacionada