Abstract: A mechanism for generating oscillatory motion omnidirectionally transforms rotating motion in which the rotating member is continuously rotated unidirectionally into any number of simultaneous arcuate motions intersecting at predetermined angles. This mechanism includes a disk-shaped body rotatably mounted and swept in a circle so that it completes two periods of rotation over the course of one period of sweep. The altitude of the disk-shaped body always intersects a point on an imaginary line, regardless of the angle of inclination of the disk-shaped body. This imaginary line is perpendicular to the circularly swept path of the disk-shaped body at the center of the circularly swept path. Points on the circumferential edge of the disk-shaped body describe an infinite number of arcs as they move around the circularly swept path. These arcs intersect at a common point from an infinite number of angles.

Abstract: A mechanism is disclosed for transforming reciprocating/rotating motion in which the reciprocating member is continuously rotated unidirectionally so as to perform 360 degrees of rotation over the course of each cycle of reciprocity, into any number of simultaneous arcuate motions intersecting at predetermined angles. This mechanism comprises a ball rotatably mounted by a supporting element and centered on a line which is perpendicular to the path of excursion of the reciprocating member at the midpoint of the excursion, which line coincides with the axis of rotation of the reciprocating member at the midpoint position, and a linkage(s) provided to transfer the motions of the reciprocating/rotating member(s) to the ball. Points on the surface of the ball are thereby made to exhibit an infinite number of arcs which intersect a common point at an infinite number of angles.