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Platonic Symmetry and Geometric Thinking
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Zsombor-Murray, Paul – Engineering Design Graphics Journal, 2007
Cubic symmetry is used to build the other four Platonic solids and some formalism from classical geometry is introduced. Initially, the approach is via geometric construction, e.g., the "golden ratio" is necessary to construct an icosahedron with pentagonal faces. Then conventional elementary vector algebra is used to extract quantitative…
Descriptors: Geometric Concepts, Geometry, Mathematics Instruction, Thinking Skills