Platonic solid

(redirected from Platonic solids)
Also found in: Thesaurus, Encyclopedia.
Related to Platonic solids: Archimedean solids

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 periodicals archive ?
LOS ANGELES, July 16, 2015 /PRNewswire/ -- The Astar Collection contains pillows, a bench, stool and barstool each with a different quilted fractal design based on one of the five platonic solids.
The first class to be discovered, called the Platonic solids, have identical faces that are all regular polygons, or shapes with equal sides and angles.
A few among them have been mathematicians who have obsessed about Platonic solids, a class of geometric forms that are highly regular and are commonly found in nature.
Working with consulting curator Srdjan Jovanovic Weiss, the ninety-year-old architect has designed inhabitable sculptures for the exhibition that build on her long-standing interest in Platonic solids and geometry.
I am going to risk pushing this analogy to an extreme and say that it was as if Wedel conceptually played around with philosophical thinking of the ancient Greeks and made clay versions of the forms of the Platonic solids that they believed to be the elemental shapes that comprised the stuff of the world (especially those highly complex shapes like multi-faceted dodecahedrons and icosahedrons) that he then threw together willy-nilly to create the ceramic objects that become his gems.
After reviewing the classical treatments of Golden Mean, Fibonacci numbers, and Platonic solids, he covers the mathematics of harmony and its application in computer science.
One can devise another application: assign different letters to the links on the Platonic solids, such that each node has a word consisting of the letters of its incoming links.
A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra
A Geometic Analysis Of The Platonic Solids And Other Semi-Regular Polyhedra (science)
All Platonic solids are convex regular polyhedra symmetrical about their centers.
Platonic solids are 3-dimensional shapes that look identical from every vertex and are composed of only one type of regular polygon (1).
The cosmos is both an abstract set of laws--the four elements, the perfect circular orbits, Platonic solids etc--and a particular history, a one-off event, a singular evolutionary chain.