Platonic body
Noun: 1. A Regular Polyhedron: A "platonic body" is any one of the five three-dimensional geometric solids whose faces are all identical, regular polygons (like squares or equilateral triangles) and whose vertices (corner points) are all identical in their arrangement. All edges are of equal length, and all angles between faces are equal. These five specific shapes are also known as the Platonic solids.
The term is used in geometry, mathematics, and sometimes in philosophy or art to refer to these five perfect, highly symmetrical forms. * The cube, with its six square faces, is a well-known platonic body. * In his dialogue *Timaeus, Plato associated each platonic body with a classical element.* * The tetrahedron, octahedron, cube, icosahedron, and dodecahedron are the only possible platonic bodies.
- "The Platonic Solids": This is the more common modern term synonymous with "platonic bodies."
- The five Platonic solids have fascinated mathematicians for millennia.
- Platonic solid (n): The most common synonym for "platonic body."
- Regular polyhedron (n): The formal geometric term describing the same concept.
- Regular convex polyhedron (n): A more precise technical term.
- Regular polyhedron
- Platonic solid
- Regular convex polyhedron
- Polyhedron: A general three-dimensional shape with flat polygonal faces. All platonic bodies are polyhedra, but not all polyhedra are platonic bodies.
- Archimedean solid: A semi-regular polyhedron made of two or more types of regular polygons.
- any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent