Operador Beamer y \foreach

Operador Beamer y \foreach

Esta es mi primera figura tratando de tenerla en elproyectorcon \foreach.

Para algunos puede que sean cinco minutos de trabajo... pero a mí me ha consumido toda la mañana...

Entonces mi pregunta:¿Cómo puedo tener separaciones framepara cada imagen que produce el \foreachoperador? El \newframeinterior \foreachno funciona.

Mi metaera hacer que tuviera movimiento (en sentido antihorario)... pero no enredar dos preguntas juntas

\documentclass{beamer}%{book}
\usepackage[utf8x]{inputenc}
\usepackage{default}
\usepackage{tikz}
\usetikzlibrary{calc} 
\usetheme{Warsaw} 
\usecolortheme{whale}

\begin{document}
%
\begin{frame}{rotating - test}
%
\begin{center}
\begin{tikzpicture}[scale=2]
\draw[thin,gray,step=0.25] (-1,-1) grid (1,1);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\draw[->] (-1.5,0)  -- (1.5,0) node[below]{$\phi_0$};
\draw[->] (0,-1.5)  -- (0,1.5) node[left]{$x$};
\draw[thick] (0,0) circle [radius=1];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\coordinate (C1) at (1,0);
\coordinate (C2) at (0.86,0.5);
\coordinate (C3) at (0.7,0.7);
\coordinate (C4) at (0.5,0.86);
\coordinate (C5) at (0,1);
\coordinate (C6) at (-0.5,0.86);
\coordinate (C7)at(-0.7,0.7);
\coordinate (C8)at(-0.86,0.5);
\coordinate (C9) at (-1,0);
\coordinate (C10) at (-0.86,-0.5);
\coordinate (C11)at(-0.7,-0.7);
\coordinate (C12) at (-0.5,-0.86);
\coordinate (C13) at (0,-1);
\coordinate (C14) at (0.5,-0.86);
\coordinate (C15) at (0.7,-0.7);
\coordinate (C16) at (0.86,-0.5);
% 
\foreach \Ctest in {(C1),(C2),(C3),(C4),(C5),(C6),
(C7),(C8),(C9),(C10),(C11),(C12),(C13),(C14),(C15),(C16)}{%
\draw [dashed] let \p1 = \Ctest
      in
    (\x1,\y1) -- (0,\y1)
    (\x1,\y1) -- (0,0);
\draw [red,thick,->] let \p1 = \Ctest
      in
    (0,0) -- (0,\y1) node[left] {$x$};
\draw [red,thick] let \p1 = \Ctest,
      \n1={atan2(\x1,\y1)}
      in
  (1,0) arc (0:\n1:1)
  (0,0)--(0.251,0) arc (0:\n1:0.25)--cycle;
\draw[fill=red] \Ctest circle [radius=0.06];
% \newframe %<<================================================
};
\end{tikzpicture}
%
\end{center}
%
\end{frame}
\end{document}

ingrese la descripción de la imagen aquí

1 Actualización:Después de respuesta de @Claudio Fiandrino y @Gonzalo Medina tengo esta figura. El problema ahora es que quiero que la "órbita" del cuerpo rojo tenga un arco creciente continuo, pero el ángulo de más de 180 grados no está definido. ingrese la descripción de la imagen aquí

Respuesta1

TikZy beamerestán bien integrados; en particular, los comandos de TikZ reconocen la superposición, por lo que puede decir, por ejemplo \draw<+-> ...; en este caso particular, count=<macro>se puede utilizar la sintaxis (comoCaludio Fiandrinosugerido en su comentario) para mantener cada posición en el bucle y luego usar <macro>para la especificación de superposición:

El código original se puede simplificar mucho si en lugar de asignar coordenadas se \Ctesttrabaja con ángulos:

\documentclass{beamer}%{book}
\usepackage[utf8x]{inputenc}
\usepackage{tikz}
\usetikzlibrary{calc} 
\usetheme{Warsaw} 
\usecolortheme{whale}

\begin{document}

\begin{frame}{rotating - test}

\begin{center}
\begin{tikzpicture}[scale=2]
\draw[thin,gray,step=0.25] (-1,-1) grid (1,1);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\draw[->] (-1.5,0)  -- (1.5,0) node[below]{$\phi_0$};
\draw[->] (0,-1.5)  -- (0,1.5) node[left]{$x$};
\draw[thick] (0,0) circle [radius=1];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\foreach \Ctest[count=\i] in {0,30,45,60,90,120,135,150,180,210,225,240,270,300,315,330,360}{%
\draw<\i> [dashed] 
  (0,0) -- (\Ctest:1) -- (0,{sin(\Ctest)}) 
 node[left,red] {$x$};
\draw<\i> [red,thick] 
  (0,0)--(0.251,0) arc (0:\Ctest:0.25) --  cycle;
\draw<\i> [->,red,thick] 
  (0,0) -- (0,{sin(\Ctest)});
\draw<\i>[fill=red] ({cos(\Ctest)},{sin(\Ctest)}) circle [radius=0.06];
}
\end{tikzpicture}
\end{center}

\end{frame}

\end{document}

ingrese la descripción de la imagen aquí

Y con el código original:

\documentclass{beamer}%{book}
\usepackage[utf8x]{inputenc}
%\usepackage{default}
\usepackage{tikz}
\usetikzlibrary{calc} 
\usetheme{Warsaw} 
\usecolortheme{whale}


\begin{document}
%
\begin{frame}{rotating - test}
%
\begin{center}
\begin{tikzpicture}[scale=2]
\draw[thin,gray,step=0.25] (-1,-1) grid (1,1);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\draw[->] (-1.5,0)  -- (1.5,0) node[below]{$\phi_0$};
\draw[->] (0,-1.5)  -- (0,1.5) node[left]{$x$};
\draw[thick] (0,0) circle [radius=1];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\coordinate (C1) at (1,0);
\coordinate (C2) at (0.86,0.5);
\coordinate (C3) at (0.7,0.7);
\coordinate (C4) at (0.5,0.86);
\coordinate (C5) at (0,1);
\coordinate (C6) at (-0.5,0.86);
\coordinate (C7)at(-0.7,0.7);
\coordinate (C8)at(-0.86,0.5);
\coordinate (C9) at (-1,0);
\coordinate (C10) at (-0.86,-0.5);
\coordinate (C11)at(-0.7,-0.7);
\coordinate (C12) at (-0.5,-0.86);
\coordinate (C13) at (0,-1);
\coordinate (C14) at (0.5,-0.86);
\coordinate (C15) at (0.7,-0.7);
\coordinate (C16) at (0.86,-0.5);
% 
\foreach \Ctest[count=\i] in {(C1),(C2),(C3),(C4),(C5),(C6),
(C7),(C8),(C9),(C10),(C11),(C12),(C13),(C14),(C15),(C16)}{%
\draw<\i> [dashed] let \p1 = \Ctest
      in
    (\x1,\y1) -- (0,\y1)
    (\x1,\y1) -- (0,0);
\draw<\i> [red,thick,->] let \p1 = \Ctest
      in
    (0,0) -- (0,\y1) node[left] {$x$};
\ifnum\i<9\relax
{\draw<\i> [red,thick] let \p1 = \Ctest,
      \n1={atan2(\x1,\y1)}
      in
  (0,0)--(0.251,0) arc (0:\n1:0.25)--cycle;
}
\else
{
\draw<\i> [red,thick]
  (0.25,0mm) arc (0:180:0.25);
\draw<\i> [red,thick] let \p1 = \Ctest,
      \n1={atan2(-\x1,\y1)}
      in
  (0,0)--(-0.251,0) arc (0:-\n1:-0.25)--cycle;
}
\fi
\draw<\i>[fill=red] \Ctest circle [radius=0.06];
};
\end{tikzpicture}
%
\end{center}
%
\end{frame}
\end{document}

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