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In the “Project GEMA” geometry and mathematics, 62 prototypes were created to establish a conceptual and formal language of the internal architecture of the solids that maintains a progressive continuity through mathematics, to explore and analyze the changes generated by the points, lines, planes and volume of the cube, the sphere and the tetrahedron. The idea of this project came from mixture of geometric graphics and mathematics to construct models in three dimensions using CAD applications and rapid prototyping through the resources and elements of descriptive geometry. This paper illustrates step by step the construction of the “Project GEMA”® cube # 022, from the standpoint of mathematics and design with CAD applications.

A Conceptual Framework Based on Fractal Geometry for Design, Modeling and Rapid Prototyping of Complex Geometric Shapes