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Proceedings of CAD'15, 2015, 27-32
Development of the Prototype of a Mechanical Arm with a Semicircular Path via the Isometric Transformations of a Tetrahedron
Abstract. This project starts from the premise of creating a mechanical arm with a semicircular path via the isometric transformations of rotation and translation of a tetrahedron, because in the isometric transformation, the geometric shapes does not change its shape or size only changes its position in space (orientation and direction), leaving, the original shape and the final shape geometrically similar and congruent. Of the five Platonic solids, the tetrahedron is the most feasible regular polygon to recreate the movements of a mechanical arm, because a tetrahedron is a regular polyhedron with congruent faces of regular polygons that meet at a vertex, and when there is an intersection between two inclined tetrahedrons, the cutting plane of the truncated tetrahedron remains parallel to the base of the tetrahedron that cuts, and connections can be placed perpendicular to the base of the truncated tetrahedrons to connect them, therefore, it is possible to follow a semi-circular path with a sequence of tetrahedrons.
Keywords. Mechanical Arm, Semicircular Path, Isometric Transformation, Tetrahedron, Prototype