An involute gear bracket system includes first and second involute gears. Each includes a circular base and a plurality of gear teeth extending outward from an outer region of a surface and evenly spaced apart from each other along a plurality of locations on the outer region of the surface. The shape of each gear tooth is defined by a varying cross-sectional involute profile, wherein starting from a first involute profile that is in a plane parallel to the surface of the circular base and extending outward from a center of the circular base, each location on the first involute profile is rotated about a corresponding axis while traversing a path defined by a corresponding imaginary ray extending from the center of the circular base to that location, the corresponding axis being tangential to an imaginary circle that encompasses the inner region of the surface and perpendicular to the corresponding imaginary ray. A first bracket is coupled to a first pivot located at a first distance from the central axis of the first involute gear. A second bracket is coupled to a second pivot and rotatable about the second pivot at least within a second range of angles. The first and second pivots are arranged relative to each other and relative to the central axes of the first and second involute gears, respectively, such that the gear tooth of the first involute gear meshes with the gear tooth of the second involute gear at a corresponding angle within a second range of angles.