The paper shows that the inclined rotations of all triaxial elongated bodies lead to their π-tumbling around the axis with a minimum moment of inertia. The object (1620) Geographos, being the most elongated body in the Solar System, demonstrates a unique set of spin states due to its unusual shape; using the hodograph of the instantaneous angular velocity vector on the Poinsot plane, an interpretation of the complex spherical motions of the object under consideration is given. Based on this, two modes of complex rotations of the asteroid are identified.

Keywords: Asteroid, Mathematical Modeling, Geographos, Classical Mechanics, Rotation.