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In 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 are regular, convex polyhedrons in 3D with equivalent faces. There are 5 types of platonic solids. Learn all about the interesting concept of platonic shapes, their properties, its types along with solving examples.
Platonic 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.
A Platonic Solid is a 3D shape where: each face is the same regular polygon. the same number of polygons meet at each vertex (corner) Example: the Cube is a Platonic Solid. each face is the same-sized square. 3 squares meet at each corner. There are only five platonic solids.
Aug 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 polygons meets at each vertex.
Mar 7, 2023 · The platonic solids are named after the ancient Greek philosopher Plato, who believed that these sacred geometrical figures represented the fundamental building blocks of our universe.
Jul 1, 2024 · The Platonic solids, also called the regular solids or regular polyhedra, are convex polyhedra with equivalent faces composed of congruent convex regular polygons.
Regular polyhedra are also called Platonic solids (named for Plato). If you fix the number of sides and their length, there is one and only one regular polygon with that number of sides. That is, every regular quadrilateral is a square, but there can be different sized squares.
Polyhedra with these two properties are called Platonic solids, named after the Greek philosopher Plato. So what do the Platonic solids look like – and how many of them are there? To make a three-dimensional shape, we need at least faces to meet at every vertex. Let’s start systematically with the smallest regular polygon: equilateral triangles:
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). They are named after Plato, a famous Greek philosopher and mathematician.
