Russian Federation
Habarovsk, Khabarovsk, Russian Federation
The research is devoted to the Platonic geometric solids, which are studied in the discipline of descriptive geometry. In this case, the reference literature usually considers the geometric shapes of the surfaces of these bodies with an indication of the number of faces and edges, as well as their visual representation. The presented research considers the possibility of using analytical and computational geometry, taking into account the duality principle of projective geometry, to model and visualize the surfaces of Platonic solids (tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron) in the mathematical programming package Maple. The developed modeling algorithms are useful for students studying disciplines in descriptive, affine, projective and computational geometry when developing algorithms for modeling and visualizing geometric objects.
Plato's geometric solids, system of three projection planes, duality principle of projective geometry, implementation of modeling in the mathematical package Maple
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