polyhedra

Meanings

• noun

  A geometric figure that is composed of regular polygons as its faces and straight edges only.

  - "The cube is an example of a regular polyhedron, but it is not a polyhedron itself as it is not composed of regular polygons as faces."
  - "The Icosahedron is a regular polyhedron with twenty triangular faces."

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Variants

List of all variants of polyhedra that leads to same result
polyhedra , polyhedral , polyhedron , polyhedrons

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Etymology

origin and the way in which meanings have changed throughout history.

From the Greek words 'poly' meaning many and 'hedra' meaning seats or sides.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The Platonic solids (regular polyhedra) are named after the ancient Greek philosopher Plato.

2. The regular polyhedra are the only convex polyhedra that can be inscribed in a sphere with all their vertices on the sphere's surface.

3. The regular polyhedra have been used in various cultures throughout history, for example, in ancient Egypt, Greece, and China.

4. The regular polyhedra have applications in various fields, such as crystallography, architecture, and engineering.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Regular polyhedron: A polyhedron whose faces are all congruent regular polygons and whose vertices all have the same number of faces meeting at them.

2. Irregular polyhedron: A polyhedron whose faces are not all congruent regular polygons or whose vertices have different numbers of faces meeting at them.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

In mathematics and geometry, a polyhedron is an important concept. It has been used extensively in various fields such as architecture, engineering, and art.

How to Memorize "polyhedra"

1. visualize
   

   - To memorize a polyhedron, visualize its 3D shape and the arrangement of its regular polygonal faces.

2. associate
   

   - Associate the name of the polyhedron with its number of faces and vertices, for example, a Dodecahedron has 12 faces and 20 vertices.

3. mnemonics
   

   - Create a mnemonic to remember the names of the regular polyhedra by associating them with memorable phrases or acronyms.
   - For example, the first five regular polyhedra can be remembered with the mnemonic 'Solid Sodomy: Sphere, Cube, Tetrahedron, Octahedron, Dodecahedron, Icosakahedron, and Dodecahedron'.

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