https://doi.org/10.4169/amer.math.monthly.124.3.265 https://www.jstor.org/stable/10.4169/amer.math.monthly.124.3.265 The five Platonic polyhedra combine identical ...

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A solid surrounded by four or more planes is called "polyhedron"Especially, all sides are composed of congruent regular polygons"Regular polyhedron"Is a solid with the most beautiful symmetry, it is ...

A 3D shape with all straight edges and flat faces is a polyhedron. Other 3D shapes with least one curved surface are not polyhedra. A 3D shape with regular polygonal faces, meeting at equal angles, is ...

Group theory is a formal method for analysing, in terms of symmetry groups, abstract and physical systems in which symmetry is present. For example, group theory classifies regular polyhedra, crystal ...

The highlight of the 13th and final book of Euclid's Elements was the proof that there are just five "Platonic solids". Recall that a regular polygon is a plane figure with all sides and angles equal, ...

This media is in the public domain (free of copyright restrictions). You can copy, modify, and distribute this work without contacting the Smithsonian. For more information, visit the Smithsonian's ...