By means of non-adiabatic quantum molecular dynamics it is shown, that the amount of energy deposited into C60 by a short laser field strongly depends on the molecular orientation with respect to the laser polarization direction. In consequence, subsequent electron-vibration coupling leads to different nuclear relaxation mechanisms with mainly three pathways: (1) excitation of giant Ag(1) modes ("breathing"), (2) formation of deformed cage-like complexes ("isomers"), fragmentation predominantly into two large pieces ("fission"). The results are in accord with and explain nicely already existing experimental data. Future experiments are proposed to confirm the detailed predictions. PACS numbers: 78.66.Tr,71.20.Tx,42.65.Re Since its discovery in 1985 [1], the Buckminster fullerene C 60 has been investigated intensively in many fields of physics, chemistry and related areas. With its well defined, highly symmetric structure and the large number of nuclear and electronic degrees of freedom (DOF), C 60 has become an ideal model system to study structural, electronic and dynamical properties of atomic many-body systems, such as electron transport in molecular systems [2], collisions between complex particles [3], cluster physics on surfaces [4] or laser -finite matter interaction [5]. Due to its icosahedral symmetry (resembling a soccer ball [1]), one would intuitively expect a minor impact of orientation effects on the underlying mechanisms. And indeed, many laser and collision induced phenomena have been explained succesfully within the spherical jellium approximation [6][7][8][9][10][11][12][13][14] or the infinitely conducting sphere model [15,16].However, Gutierrez et al. [17] found, that the conductance across a C 60 junction between two carbon nanotubes changes with the orientation of the molecule with respect to the tubes over several orders of magnitude. Furthermore, it has been observed experimentally [18], that the fusion cross section in fullerene-fullerene collisions is several orders of magnitude smaller than that of the expected geometrical one. This is due to the fact, that only very few and specific relative orientations between the colliding clusters contribute to fusion, as theoretically confirmed by quantum molecular dynamics calculations [18,19]. A recent experiment by Daughton et al. [20] suggests, that the charge transfer to C 60 at surfaces depends on the molecular orientation as well. To what extent the molecular orientation plays a role in the laser-induced fullerene dynamics is, to the best of our knowledge, still an open question. *The response of C 60 to short intense laser pulses is subject of great current experimental [21][22][23][24][25] and theoretical [26][27][28][29][30][31][32][33][34] interest. The most striking feature of fs-pulses (in contrast to ps-pulses) concerns the lack of small fragments and the predominant abundance of intact, multiply charged fullerene ions in the experimental mass spectra of the photofragments [24]. It has been argued [24], that most of the absorbed...