Platonic solid

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Platonic solid

n
(Mathematics) any of the five possible regular polyhedra: cube, tetrahedron, octahedron, icosahedron, and dodecahedron. Also called (esp formerly): Platonic body
[C17: named after Plato1, who was the first to list them]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Platonic solid - any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruentPlatonic solid - any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent
polyhedron - a solid figure bounded by plane polygons or faces
regular tetrahedron - a tetrahedron with four equilateral triangular faces
cube, regular hexahedron - a hexahedron with six equal squares as faces
regular dodecahedron - a dodecahedron with twelve regular pentagons as faces
regular octahedron - an octahedron with eight equilateral triangles as faces
regular icosahedron - an icosahedron with twenty equilateral triangles as faces
References in classic literature ?
The Sphere would willingly have continued his lessons by indoctrinating me in the conformation of all regular Solids, Cylinders, Cones, Pyramids, Pentahedrons, Hexahedrons, Dodecahedrons, and Spheres: but I ventured to interrupt him.
The author has organized the main body of his text in five chapters focused on the regular solids, branches and spirals, the engineering of shape, fluids in motion, and a wide variety of other related subject matter.
Designers can create and use the mid surfaces of sheet metal models in part and assembly simulations; that is, mid surfaces can be extracted at the assembly level and used with regular solids in other parts of the model.
The notation of the basic characteristics of regular solids given in the table shows that between some of the pairs the numbers of vertices correspond to the numbers of faces.