Powered toothbrush with complex movement

A powered toothbrush, comprising:

• a bristle head comprising:
• a distal end comprising a plurality of rounded gear teeth, wherein transitions between the plurality of rounded gear teeth comprise non-rounded corners:
• a proximal end;
• a center;
• an outer gear comprising:
• a distal end comprising a first bevel gear;
• a proximal end comprising a plurality of rounded gear teeth, wherein transitions between the plurality of rounded gear teeth comprise non-rounded corners;
• a center;
• a driveshaft comprising:
• a distal end;
• a proximal end comprising a second bevel gear;
• 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,
• wherein the second bevel gear mates with the first bevel gear, wherein the driveshaft rotates about a third axis of rotation to power a rotation of the outer gear about a first axis of rotation,
• wherein the plurality of rounded gear teeth of the outer gear mate with the plurality of the rounded gear teeth of the bristle head to cause the bristle head to orbit the first axis of rotation via a series of radially configured oval-shaped bristle paths while simultaneously completing one or more rotary movements about a second axis of rotation,
• wherein the second axis of rotation moves along the series of radially configured oval-shaped bristle paths with the bristle head, wherein the series of radially configured oval-shaped bristle paths is radially symmetric.