| Summary: | The study presents an analysis and guide for the synthesis of a spherical shaped gear mesh in kinematic sculptures. The specific conditions for generating such arrangements are investigated, like the mesh condition for constrained gear systems, the geometry of forming gears, possible patterns, choice of dimensions, and number of teeth. The starting geometry is also partially described, which is based on convex polyhedrons. It is a solid three-dimensional figure with flat polygonal faces that are closed, where all the angles between adjacent faces are less than or equal to 180 degrees, and there are no concave regions or indentations in its structure. Two different examples are presented based on two different polyhedrons with different gear arrangements.
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