Polyhedron is a geometrical shape with flat faces and straight edges. The word is spelled with four syllables (po-ly-hed-ron) and pronounced as /pɑːlihɛdrən/ in IPA phonetic transcription. The first syllable, "poly," is pronounced with a long "o" sound, the second syllable, "hed," is pronounced with a short "e" sound, and the final syllable, "ron," is emphasized with a stress on the second syllable. The spelling of "polyhedron" stems from a combination of the Greek words "poly," meaning many, and "hedra," meaning faces.
A polyhedron is a three-dimensional geometric figure that is characterized by flat faces, straight edges, and sharp vertices. It is a closed solid object that is bound by polygons, which are two-dimensional shapes with straight sides. The term "polyhedron" is derived from the Ancient Greek words "poly" meaning "many" and "hedron" meaning "face".
The defining properties of a polyhedron are that all its faces are polygons, and the polygons intersect only at their edges. The edges of a polyhedron are shared by two faces, and the vertices mark the points where three or more edges meet. The configuration of faces, edges, and vertices in a polyhedron collectively determines its overall shape and structure.
Polyhedra can vary in complexity and can include simple shapes like cubes and pyramids, as well as more intricate structures like dodecahedra and icosahedra. They can be regular, where all faces and angles are congruent, or irregular, where faces and angles differ in size and shape.
Polyhedra play a significant role in mathematics, geometry, and architecture. Their study involves understanding their symmetries, surface area, volume, and other geometric properties. Polyhedra are also commonly encountered in everyday objects such as dice, buildings, and various forms of packaging.
A solid body having many faces or sides; in optics, a multiplying glass or lens having several plane surface disposed in a convex form.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The word "polyhedron" derives from the ancient Greek roots "poly" meaning "many" and "hedra" meaning "faces". The combination of these roots creates the term "polyhedron", which refers to a three-dimensional geometric shape with multiple faces or sides.