Problem mit for bzw. foreach -Schleife bei Knotenpunkte (nodes)

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\documentclass[margin=5pt,tikz]{standalone}
\usetikzlibrary{calc,intersections}
\begin{document}
\begin{tikzpicture}[every node/.append style={minimum width=1cm, minimum height=1cm}]
  % Eckpunkte
  \node (1) at (16,16)  {1};
  \node (2) at (1,16)   {2};
  \node (3) at (2,0)    {3};
  \node (4) at (9,0)    {4};
  % Gitterpunkte der oberen und unteren Seite:
  \def \s{7} % Zwischenspaltenanzahl (Senkrechten)
  \foreach \n in {1, ..., \s}
  {
    \node (O\n) at ($ (1) !.{(1 / (\s + 1)) * \n}! (2) $) {O\n}; 
    \node (U\n) at ($ (4) !.{(1 / (\s + 1)) * \n}! (3) $) {U\n};
  }
  % Gitterpunkte der linken und rechten Seite:
  \def \w{6} % Zwischenzeilenanzahl (Waagerechten)
  \foreach \n in {1, ..., \w}
  {
    \node (L\n) at ($ (2) !.{(1 / (\w + 1)) * \n}! (3) $) {L\n}; 
    \node (R\n) at ($ (1) !.{(1 / (\w + 1)) * \n}! (4) $) {R\n};
  }
  % Festlegung senkrechter und waagerechter Reihen:
  \foreach \n in {1, ..., \s}
    \path [name path global/.expanded=O\n--U\n] (O\n) -- (U\n);
  \foreach \n in {1, ..., \w}
    \path [name path global/.expanded=L\n--R\n] (L\n) -- (R\n);
  % Schnittpunkte der senkrechen mit den waagerechten Reihen als neue Gitterpunkte:
 % \def \i{1}
 
 
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