Abstract

In the plane, the conceptof the area used to describe a closed polygon is made up of the original dataincluding the base elements, which are points and segments. To find and manageit, people use the problem of creating regions. The surface of a 3D object consists of a set of faces that are each modeled by a closed flat polygon.These surfaces are similar to areas in the plane but are represented in 3D space. The problem of creating areas in the plane has been studied and solvedby the theory and practice applied to delineate and calculate the land area ina cadastral map. Based on this problem, the research paper proposes a surfacecreation method to describe the surface of 3D objects. This problem uses theprinciple of an edge with only two adjacent sides; from one edge, find the nextedge. This problem will classify the edges of the 3D cube, then project them to the plane. The classification aims to simplify the spatial problem byconverting it into a problem solving on the plane. However, when projecting the edges towards the plane, arranging the edges in the same order as in space isnot a simple matter. This study shows that the above arrangement can be done when the faces meet certain conditions. The problem of creating a region on aplane creates surfaces corresponding to the surface of 3D objects in space