System for conversion between the boundary representation model and a constructive solid geometry model of an object

A method manufacturing an object from a boundary representation thereof comprising:

• cleaving said boundary representation of said object, which represents said object only by zero, one or two dimensional features thereof, into elemental atomic geometrical units (I-bodies);
• assemblies said I-bodies into assemblies having atomic geometrical forms which collectively form a constructive half-space geometry representation of said object usable for manufacturing thereof;
• utilizing said constructive solid geometry representation of said object to develop machine instructions for instructing one or more machines in a manufacturing process;
• and
• controlling said machines to perform operations under control of said instructions to manufacture at least a portion of said object.

A system of manufacturing an object from a boundary representation thereof comprising:

• means for cleaving said boundary representation of said object, which represents said object only by zero, one or two dimensional features thereof, into elemental atomic geometrical units (I-bodies);
• means responsive to said means for cleaving for assembling said I-bodies into assemblies having atomic geometrical forms which collectively form a constructive solid geometry representation of said object;
• means for developing machine instructions for instructing one or more machines in a manufacturing process from said constructive solid geometry representation of said object;
• and
• manufacturing means, responsive to said machine instructions and including one or more machines, for manufacturing said object.