Derivation of complex digit topology circles from simple digit topology circles for creating novel complex mechanisms

Derivation of complex digit topology circles from simple digit topology circles is studied for creating novel mechanisms. First, the relation between the digit topology circle C n ( k ) i and the mechanism is discovered, and several simple C n ( k ) i are constructed. Second, many complex C n ( k ) i are derived gradually from the simple C n ( k ) i by increasing or decreasing the digits of the simple C n ( k ) i or existing C n ( k ) i by 1, and their derivation approach and processes are studied and explained. Third, several novel mechanisms with more mechanical advantages or more functions are created using different derived C n ( k ) i , and their creation processes and the principles of novel mechanisms are explained. The proposed derivation approach of complex C n ( k ) i is not only supportive to the creation of novel mechanisms and to the conceptual design of a mechanical system automatically but also easy to make that enumeration process computable.