Dental appliances for creating opposing counter moments between teeth

A dental system comprising:

• a plurality of orthodontic appliances configured to incrementally move a patient's dentition from a first arrangement towards a second arrangement, each of the plurality of orthodontic appliances comprising:
• a first plurality of tooth receiving cavities shaped to receive a plurality of anterior teeth;
• a first plurality of attachment receiving cavities at the first plurality of tooth receiving cavities, the first plurality of attachment receiving cavities shaped to impart a first plurality of forces and a first counter moment to the plurality of anterior teeth, the first plurality of forces being configured to direct at least one tooth of the plurality of anterior teeth in a posterior direction;
• a second plurality of tooth receiving cavities shaped to receive a plurality of posterior teeth, wherein the second plurality of tooth receiving cavities are spaced apart from the first plurality of tooth receiving cavities;
• a second plurality of attachment receiving cavities at the second plurality of tooth receiving cavities, the second plurality of attachment receiving cavities shaped to impart a second plurality of forces and a second counter moment to the plurality of posterior teeth, the second counter moment being in a direction opposing the first counter moment,
• wherein at least a portion of the second plurality of forces are configured to oppose the first plurality of forces, wherein the first counter moment and the second counter moment are configured to be coupled to form a differential moment across the first plurality of tooth receiving cavities and the second plurality of tooth receiving cavities.

A dental system comprising:

• a processor;
• and
• memory comprising instructions that when executed by the processor cause the system to carry out a method comprising:
• generating a geometry of a dental appliance having a first plurality of tooth receiving cavities shaped to receive a plurality of anterior teeth and a second plurality of tooth receiving cavities shaped to receive a plurality of posterior teeth, wherein the second plurality of tooth receiving cavities are spaced apart from the first plurality of tooth receiving cavities;
• determining positions and orientations for a first plurality of attachment receiving cavities at the first plurality of tooth receiving cavities, the first plurality of attachment receiving cavities shaped to impart a first plurality of forces and a first counter moment to the plurality of anterior teeth, the first plurality of forces being configured to direct at least one tooth of the plurality of anterior teeth in a posterior direction;
• determining a second plurality of attachment receiving cavities at the second plurality of tooth receiving cavities, the second plurality of attachment receiving cavities shaped to impart a second plurality of forces and a second counter moment to the plurality of posterior teeth, the second counter moment being in a direction opposing the first counter moment,
• wherein at least a portion of the second plurality of forces are configured to oppose the first plurality of forces, wherein the first counter moment and the second counter moment are configured to be coupled to form a differential moment across the first plurality of tooth receiving cavities and the second plurality of tooth receiving cavities.