¿Cómo acceder al valor aritmético del conteo en \foreach y usarlos en el cuadro de rotación{}?

Question

Tengo una pregunta sobre cómo acceder al valor matemático de count en \foreach, usaré ese valor para hacer algunos cálculos en el siguiente código. Pero no funcionó.

\documentclass[margin=10pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows,calc}
\begin{document}

\begin{tikzpicture}[line cap=round,line join=round,>=triangle    45,x=1.0cm,y=1.0cm]
\clip(-2.5,-3) rectangle (2.5,2.5);
% defining coordinates
\coordinate (origin) at (0,0);
\coordinate (1)      at (0,2);
\coordinate (2)      at ($(origin)!1!120:(1)$);
\coordinate (3)      at ($(origin)!1!120:(2)$);
\coordinate (1_)     at ($(origin)!0.8!-5:(1)$);
\coordinate (2_)     at ($(origin)!0.8!-5:(2)$);
\coordinate (3_)     at ($(origin)!0.8!-5:(3)$);
\coordinate (_1)     at ($(origin)!0.8!5:(1)$);
\coordinate (_2)     at ($(origin)!0.8!5:(2)$);
\coordinate (_3)     at ($(origin)!0.8!5:(3)$);
% draw the circle
\draw [color=black, line width=0.5pt](origin) circle (2 cm);
%draw symmetry elements
\foreach \coordname in {1,2,3}
     \draw [line width=0.5pt, color=black] (\coordname)--     ($(origin)!1!180:(\coordname)$);
\foreach \coordname [count=\i] in {1,2,3}{
     \draw[color=black,font=\large] (\coordname)   node  {\rotatebox{120}{rota}};}
 \draw[color=black,font=\large] (origin)   node {rota};
 % draw plane group notaton
 \draw[color=black] (0,-2.5) node {$222$};
 \end{tikzpicture}
 \end{document}

Necesito que el texto rotasiga la dirección de la curva del círculo dependiendo de la posición del texto.

Luego agrego algo de código:

\documentclass[margin=10pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows,calc}
\begin{document}

\begin{tikzpicture}[line cap=round,line join=round,>=triangle    45,x=1.0cm,y=1.0cm]
\clip(-2.5,-3) rectangle (2.5,2.5);
% defining coordinates
\coordinate (origin) at (0,0);
\coordinate (1)      at (0,2);
\coordinate (2)      at ($(origin)!1!120:(1)$);
\coordinate (3)      at ($(origin)!1!120:(2)$);
\coordinate (1_)     at ($(origin)!0.8!-5:(1)$);
\coordinate (2_)     at ($(origin)!0.8!-5:(2)$);
\coordinate (3_)     at ($(origin)!0.8!-5:(3)$);
\coordinate (_1)     at ($(origin)!0.8!5:(1)$);
\coordinate (_2)     at ($(origin)!0.8!5:(2)$);
\coordinate (_3)     at ($(origin)!0.8!5:(3)$);
% draw the circle
\draw [color=black, line width=0.5pt](origin) circle (2 cm);
%draw symmetry elements
\foreach \coordname in {1,2,3}
     \draw [line width=0.5pt, color=black] (\coordname)--     ($(origin)!1!180:(\coordname)$);
\foreach \coordname [count=\i] in {1,2,3}{
     \pgfmathsetmacro{\n}{\numbers[\i]};  % add
     \draw[color=black,font=\large] (\coordname)   node  {\rotatebox{-120+30*\n}{rota}};}    %some modification
 \draw[color=black,font=\large] (origin)   node {rota};
 % draw plane group notaton
 \draw[color=black] (0,-2.5) node {$222$};
 \end{tikzpicture}
 \end{document}

No funcionó. ¿Alguien tiene alguna idea sobre lo que está mal aquí? Gracias

Answer 1

Entonces, en su ejemplo, tiene \numbers[\i]y no estoy del todo seguro a qué se refiere. Eliminé partes del código que no funcionaban e intenté ver lo que estabas buscando y esto es lo que se me ocurrió:

\documentclass[tikz,convert]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}    
  \coordinate (origin) at (0,0);

  % draw the circle
  \draw [color=black, line width=0.5pt] (origin) circle (2 cm);

  % draw symmetry elements
  \foreach \coordname [count=\i] in {1,2,...,6} {
    \draw [rotate around={60*\i:(origin)}]
          (origin) -- +(2, 0)
          node [rotate=60*\i, pos=1, right] {rota};
    \coordinate (c\coordname) at ($(origin) + (60*\i:2)$);
  }

  \draw (c1) -- (c2) -- (c3) -- (c4) -- (c5) -- (c6) -- cycle;
\end{tikzpicture}
\end{document}

y la salida:

Espero que sea un punto de partida útil para usted. No dude en comentar si tiene alguna pregunta sobre cómo funcionan algunas partes de esto.

Answer 2

Subo mi solución a esta pregunta.

\documentclass[margin=10pt]{standalone}
\DeclareFontFamily{U}{cry}{\hyphenchar\font=-1}
\DeclareFontShape{U}{cry}{m}{n}{ <-> cryst}{}
\newcommand{\cry}[1]{{\usefont{U}{cry}{m}{n} \symbol{#1}}}
\usepackage{tikz}
\usetikzlibrary{arrows,calc}
\begin{document}
\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm]
\clip(-2.5,-3) rectangle (2.5,2.5);
% defining coordinates
\coordinate (origin) at (0,0);
\coordinate (1)      at (0,2);
\coordinate (2)      at ($(origin)!1!120:(1)$);
\coordinate (3)      at ($(origin)!1!120:(2)$);
% draw the circle
\draw [color=black, line width=0.5pt](origin) circle (2 cm);
%draw symmetry elements
\foreach \coordname in {1,2,3}
    \draw [line width=0.5pt, color=black] (\coordname)-- ($(origin)!1!180:(\coordname)$);
\foreach \coordname [count=\i] in {1,2,3}{
    \draw[color=black,font=\large] (\coordname)  node [rotate=-210+120*\i] {\cry{2}};
    \draw[color=black,font=\large] ($(origin)!-1!(\coordname)$)  node [rotate=-210+120*\i] {\cry{2}};
}
\draw[color=black,font=\large] (origin)   node {\cry{3}};
% draw plane group notaton
\draw[color=black] (0,-2.5) node {$32$};
\end{tikzpicture}
\end{document}