Platonic solid - Wikipedia
WEBIn geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex.
Platonic Solids - Definition, Properties, Types, Examples, FAQs
WEBPlatonic solids, also known as regular solids or regular polyhedra, are solids with equivalent faces composed of congruent convex regular polygons. Platonic solids were studied by the ancient greek who also call these solids cosmic solids and are of 5 types.
Platonic solid | Regular polyhedron, 5 elements & symmetry
WEBPlatonic solid, any of the five geometric solids whose faces are all identical, regular polygons meeting at the same three-dimensional angles. Also known as the five regular polyhedra, they consist of the tetrahedron (or pyramid), cube, octahedron, dodecahedron, and icosahedron.
Platonic Solids - Definition, Types, Examples, & Diagram - Math …
WEBAug 3, 2023 · Platonic solids, also known as regular solids or regular polyhedra, are 3-dimensional solids consisting of convex, regular polygons. As it is a regular polyhedron, each face is the same regular polygon, and the same number of …
The 5 Platonic Solids – Properties, Diagrams and Examples
WEBPlatonic solids are three-dimensional figures, in which all their faces are congruent regular polygons. In total, there are five Platonic solids: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
12.5: Platonic Solids - Mathematics LibreTexts
WEBAug 24, 2021 · There are exactly five Platonic solids. The key fact is that for a three-dimensional solid to close up and form a polyhedron, there must be less than 360° around each vertex. Otherwise, it either lies flat (if there is exactly 360°) or folds over on itself (if there is more than 360°).
Platonic Solid -- from Wolfram MathWorld
WEBAug 22, 2024 · Platonic Solid. Download Wolfram Notebook. The Platonic solids, also called the regular solids or regular polyhedra, are convex polyhedra with equivalent faces composed of congruent convex regular polygons.
Platonic Solids - Smithsonian Institution
WEBThe ancient Greek mathematician Euclid proved in his Elements of Geometry that there are only five Platonic solids – the regular tetrahedron (four sides that are equilateral triangles), the cube (six sides that are squares), the regular octahedron (eight sides that are equilateral triangles), the regular dodecahedron (twelve sides that are regul...
WEBPlatonic solids and their symmetries. GU4041. Columbia University. April 20, 2020 A regular polyhedron is a convex object in 3-dimensional space made up of a collection of regular n-gons (the faces) , all of the same size and all with the same n, that meet (when they do) at the same angle at edges, and with the same number of faces meeting at each.
Platonic Solids Definition (Illustrated Mathematics Dictionary)
WEBDefinition of. Platonic Solids. more ... There are five Platonic Solids. Each one is a polyhedron (a solid with flat faces). They are special because every face is a regular polygon of the same size and shape. Example: each face of the cube is a square. They are also convex (no "dents" or indentations in them).
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