Hi-accuracy three-dimensional topographic modeling apparatus

A cutting apparatus includes a hi-accuracy three-dimensional cutting apparatus for topographic modeling that is electronically coupled with a computer. The computer has a central processor that executes instructions, a memory for storing instructions to be executed, and non-volatile storage for storing the messages. The executable computer instructions of the system include one or more algorithms for converting the complex and randomly-occurring contours found in natural terrain into an efficient series of modeling material removal swaths defined in simplified 2-axis cross-sections that are cut adjacent and parallel to one another. The swaths are defined in a simplified 2-axis surface contour-following rotation cutting device moved by the system's CPU, driver software, driver circuitry and/or logic circuitry. This multi-axis control of the system assures that each of the swaths are seamlessly rendered next to one another while also maintaining an optimal proximity between the upper surface of the 3D model and the rotation cutting device.