Powered toothbrush with complex movement

A powered toothbrush, comprising:

• a bristle head comprising a distal end, a proximal end, and a center;
• an outer gear comprising a distal end, a proximal end, and a center;
• and
• a plurality of bristles, each bristle comprising a distal end and a proximal end, wherein the distal ends of the plurality of bristles are connected to the proximal end of the bristle head, and wherein the distal end of the bristle head mates with the proximal end of the outer gear,
• and wherein the outer gear rotates about a first axis of rotation, wherein the first axis of rotation runs from the distal end of the outer gear to the proximal end of the outer gear through the center of the outer gear,
• and wherein the mating between the bristle head and the outer gear causes the bristle head to orbit the first axis of rotation via one or more bristle paths while simultaneously completing one or more rotary movements about a second axis of rotation,
• wherein the second axis of rotation runs from the distal end of the bristle head to the proximal end of the bristle head through the center of the bristle head, and wherein the second axis of rotation moves along the one or more bristle paths with the bristle head.