An inverted Stewart platform assembly includes a first platform having a first surface, a second platform having a second surface facing the first surface of the first platform, and six legs extending between and coupling the first platform and the second platform. The six legs are configured to be actuated between a first arrangement in which adjustable lengths of the six legs, measured from the first platform to the second platform, are substantially equal to one another, and a plurality of second arrangements in which the adjustable lengths of the six legs are not substantially equal to one another, wherein each leg of the six legs forms, in the first arrangement, an angle of less than or equal to 45 degrees with a plane defined by the first platform.