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dynamische Clipping-Ebene mit TikZ

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dynamische Clipping-Ebene mit TikZ

ich habe ein Problem mit TikZ. Ich möchte eine dynamische Clipping-Ebene zeichnen. Die Oberseite des roten Bereichs ist dynamisch, die blaue sollte dieselbe Höhe/Ebene haben, aber viel größere Abmessungen aufweisen ... um den optischen Bereich vom roten Bereich zu trennen. Irgendwelche Ideen?

AktualisierenIch habe ein weiteres Bild hinzugefügt, um meinen Standpunkt klarzumachen. Das blaue Quadrat sollte perfekt auf den roten Kegelstumpf passen. Es sollte dynamisch sein, sodass sich das blaue Quadrat ebenfalls bewegt, wenn ich die Höhe des Kegelstumpfs ändere. Mein Problem ist, dass die Höhe des roten Kegelstumpfs Teil des Strahls vom Blickpunkt nach unten ist. Wenn es möglich wäre, einen Parameter für die Höhe anzugeben, der in die Perspektive und den Strahl passt, würde das das Problem meiner Meinung nach ebenfalls lösen.

\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}

Bildbeschreibung hier eingeben Bildbeschreibung hier eingeben

Antwort1

Ist es das, was Sie wollen (durch eine Änderung des \projectionHeightWerts werden Kegelstumpf und Ebene gemeinsam verschoben)?

\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}

Antwort2

Endgültige Lösung. Danke an alle

\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}

Bildbeschreibung hier eingeben

Antwort3

Hier ist ein Ansatz mit 3D-Koordinaten, auf diese Weise können Sie die Ecken des blauen Rechtecks ​​direkt berechnen und müssen nicht abgeschnitten werden. Sie können die Höhe des Scheitelpunkts ( \vertexheight), den Prozentsatz der Höhe, den das blaue Rechteck haben soll ( \posalongpath), sowie die Ausrichtung und Länge der Koordinatenachsen ( \Cangleund \Clength) ändern.

Der Code

\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}

Die Ausgabe

Bildbeschreibung hier eingeben

Alternative Ausgabe

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

Bildbeschreibung hier eingeben

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