regular polyhedron

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Word: Regular Polyhedron

Definition: A regular polyhedron is a three-dimensional shape that has flat faces, and all of those faces are the same shape and size. Each face is a regular polygon (like a triangle, square, or pentagon), and the angles where the faces meet are all the same.

Usage Instructions: You can use "regular polyhedron" when talking about geometry or shapes in math. It's a specific term that refers to a certain type of solid.

Example: The cube is a regular polyhedron because all of its six faces are squares, and the angles where the faces meet are all right angles.

Advanced Usage:

In more advanced discussions, you might explore the five types of regular polyhedra, known as the Platonic solids: 1. Tetrahedron (4 triangular faces) 2. Cube (6 square faces) 3. Octahedron (8 triangular faces) 4. Dodecahedron (12 pentagonal faces) 5. Icosahedron (20 triangular faces)

Word Variants:

• Polyhedron (noun): A three-dimensional shape with flat faces (not necessarily regular).
• Regularity (noun): The quality of being regular or consistent, often used in mathematics.

Different Meanings:

• In general English, "regular" can also mean something that occurs frequently or is common, such as a "regular customer" at a store.

Synonyms:

• Platonic solid: A common term used for regular polyhedra, especially in mathematical contexts.

Idioms and Phrasal Verbs:

• There are no specific idioms or phrasal verbs that use "regular polyhedron," but you might encounter phrases like "regular shape" which means a shape that has a consistent form.

Summary:

A regular polyhedron is an important concept in geometry, representing a specific type of three-dimensional shape.

Academic

Noun

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

Synonyms

• regular convex solid
• regular convex polyhedron
• Platonic body
• Platonic solid
• ideal solid