ideal solid
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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
- any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent