\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{Planes containing equilateral triangles in Z3}{}% 2
\BOOKMARK [1][-]{section.3}{Solutions of the Diophantine equation a2+b2+c2=3d2}{}% 3
\BOOKMARK [1][-]{section.4}{The first six parametrizations}{}% 4
\BOOKMARK [1][-]{section.5}{Characterization of side lengths}{}% 5
\BOOKMARK [1][-]{section.6}{A more general parametrization}{}% 6
\BOOKMARK [1][-]{section.7}{Acknowledgements and further investigations}{}% 7