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Showing 1 to 7 of 7 for “"Platonic solids"”.
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Geometric, Algebraic, and Topological Connections in the Historical Sphere of the Platonic Solids
The Platonic solids have made prominent appearances in the history of pure mathematics: in Euclid's <italic>Elements</italic>, which contains early geometric constructions of the solids and demonstrates the special manner in which each is comprehended by a sphere; in William Hamilton's geometric …
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A two and three dimensional high school geometry unit implementing recommendations in the National Council of Teachers of Mathematics curriculum and evaluation standards
… polyhedra, polygons, Eulers Formula, and platonic solids.
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A two and three dimensional high school geometry unit implementing recommendations in the National Council of Teachers of Mathematics curriculum and evaluation standards
… polyhedra, polygons, Eulers Formula, and platonic solids.
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Poliedros de Platão
… Geometry, Platão and its polyhedra, to identify platonic solids, to calculate areas, perimeters and volumes, to relate volumes and capacities to construct Geometric Solids, using tools of daily with the activity the regular Polyhedra: making the pazes with the intuition.
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Staged Evolution
… a series of model studies, I explored how basic platonic solids, more specifically cube define spatial boundaries and how asymmetrical space could challenge its regularity and symmetry. Through chemical reactions randomized organic cavities were achieved that exposed contrast between regular …
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Mathematical Analysis of Compressive/Tensile Molecular and Nuclear Structures
… to experimental trends. To correct this, Platonic solids and Archimedean solids were evaluated as atoms in covalent carbon or nitrogen bond systems in order to find the best solids for geometric fitting. Pentagonal solids, e.g. the dodecahedron and icosidodecahedron, give the best fit with …
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Edge length minimizing polyhedra
… over several families of polyhedra, including Platonic solids, regular pyramids, and general prisms. For Aberth's Problem, the right regular 3-prism of height 2-13 relative to base edge 1 is shown to minimize over the same families. The minimizer of Aberth's Problem cannot have all equal-area …