Systems and methods for merging and splitting intersecting solids and surfaces

Embodiments of the invention relate to merging and splitting intersecting geometry-only solids and surfaces in an intuitive manner. One embodiment is a method of merging and cutting geometry-only format CAD objects without related history information, using a single geometry modification tool and interface. In response to receiving a group selection from the user, of a plurality of CAD objects, the method infers a merge operation and automatically merges the plurality of CAD objects into a single merged CAD object. In response to receiving an individual selection from the user of a CAD object, the geometry modification tool enters a merged state when the subsequent second selection from the user is selected in a manner indicating a merger operation, or alternatively, enters a cut state when the subsequent second selection from the user is selected in a manner indicating a cut operation.