preview and standalone crop too much of tikz picture

Question

When I try to fit the page size to my tikz image, too much is cropped. No matter whether I use \documentclass{standalone}, \documentclass[preview=true]{standalone} or \usepackage[active,tightpage]{preview}\PreviewEnvironment{tikzpicture}. The complete source:

\documentclass{minimal}

\usepackage{tikz}
\definecolor{darkred}{rgb}{0.5,0,0}

\begin{document}

\begin{tikzpicture}
    \begin{scope}[color=lightgray]
        \draw (-8,0) -- (8,0);
        \filldraw[shift={(8,0)},scale=0.25] +(-210:1) -- +(210:1) -- +(0:1) -- cycle;
        \draw (0,-8) -- (0,8);
        \filldraw[shift={(0,8)},scale=0.25,rotate=90] +(-210:1) -- +(210:1) -- +(0:1) -- cycle;
    \end{scope}
    \newcommand\hyper[4][]{\draw[mark=*,mark options={fill=black}] plot [#1] ({#2*exp(#4)+#3*exp(-#4)}, {#2*exp(#4)-#3*exp(-#4)})}
    \newcommand\hyperline[6]{\draw ({#1*exp(#3)+#2*exp(-#3)}, {#1*exp(#3)-#2*exp(-#3)}) -- ({#4*exp(#6)+#5*exp(-#6)}, {#4*exp(#6)-#5*exp(-#6)})}
    \pgfsetplotmarkrepeat{6}
    \foreach \a in {-1, 1}{%
        \foreach \b in {-1, 1}{%
            \begin{scope}[very thin, color=gray]
                \begin{scope}[domain=-2:2]
                    \hyper\a0\x;
                    \hyper0\b\x;
                    \hyper\a\b\x;
                \end{scope}
                \begin{scope}[domain=-1.3:1.3]
                    \hyper{\a*2}{\b*2}\x;
                \end{scope}
            \end{scope}
        }
    }
    \begin{scope}[color=darkred]
        \foreach \k in {0,...,2}{%
            \hyperline0{-1}\k1{-1}\k;
            }
    \end{scope}
\end{tikzpicture}

\end{document}

This looks like this:

After reading Transparency in tikz, preview package and xelatex, I tried to set the size manually:

\usepackage{geometry}
\geometry{paperwidth=163mm,paperheight=163mm,margin=0mm}

But this gives me the error message:

! Package geometry Error: \paperwidth (0.0pt) too short.

Answer 1

Ok, solved the problem with standalone. It was the empty line after the tikzpicture environment. Like meantioned here: Standalone package creates a page with a fixed width

And the following makes it work with preview. Notice that it is loaded after tikz:

\documentclass{minimal}

\usepackage{tikz}
\definecolor{darkred}{rgb}{0.5,0,0}

\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}

The last problem is because the minimal class does not work with geometry. Simply using the article class made that work too. (See also Why should the minimal class be avoided?)