Definition

Noun: 1. A Platonic solid: "ideal solid" is a geometric term referring specifically to any one of the five convex, regular polyhedra in three-dimensional space. These solids are characterized by having faces that are identical regular polygons, with the same number of faces meeting at each vertex.

Usage

The term "ideal solid" is a specialized, somewhat formal synonym for "Platonic solid." It is used primarily in mathematical, geometric, and philosophical contexts to describe these five specific, perfectly symmetrical shapes.

Examples

• Noun:
  • In geometry class, we constructed models of all five ideal solids: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
  • The ancient Greeks believed these ideal solids represented fundamental elements of the universe.

Advanced Usage

• "The five ideal solids": This is the standard phrase used to refer to the complete set.
  • Plato's "Timaeus" associates each of the five ideal solids with a classical element.

Variants and Related Words

• Platonic solid (n): The most common and direct synonym for "ideal solid."
  • The cube is the most familiar Platonic solid.
• Regular polyhedron (n): A more general technical term that has the same meaning in the context of convex solids.
  • A regular polyhedron has faces that are all the same regular polygon.

Synonyms

• Platonic solid: The standard term.
• Regular convex polyhedron: A precise geometric description.
• Cosmic figure (historical/archaic): A poetic or historical term used by some ancient philosophers.

Related Concepts

• Polyhedron: A solid figure with many plane faces, a broader category that includes ideal solids.
• Symmetry: A key property of ideal solids, referring to their balanced and proportional form.
• Tessellation: The tiling of a plane, which is related to the two-dimensional analogs of these solids (regular polygons).

Noun

1. any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent