1occurring in cycles; regularly repeated:the cyclic pattern of the last two decades Mathematics (of a group) having the property that each element of the group can be expressed as a power of one particular element. relating to or denoting a musical or literary composition with a recurrent theme or structural device. 2 Mathematics of or relating to a circle or other closed curve. Geometry (of a polygon) having all its vertices lying on a circle. Chemistry (of a compound) having a molecular structure containing one or more closed rings of atoms. Botany (of a flower) having its parts arranged in whorls.