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The free curve gear is a non-circular gear without any rotating center, which can perform free curve motion for complicated mechanisms, and minimize the work area. In this study, an algorithm for tooth profile generation of free curve involute gear is developed. The algorithm uses the involute gear creating principle in which a gear can be generated by rolling with another standard involute one. Cycloid curve and third polynomial curve gears were designed and verified by computer graphics. These gears are manufactured in the Wire-cut EDM and examined in engagement with a standard spur gear. The results showed that the proposed algorithm is successful to design and to manufacture the free curve gear with concave and convex profiles.