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Tetrahedra Meaning: Definition, Examples, and Translations

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tetrahedra

[ˌtɛtrəˈhɛdrə ]

Definition

Context #1 | Noun

geometric shape

A tetrahedron is a polyhedron with four triangular faces, six edges, and four vertices. It is one of the simplest three-dimensional shapes in geometry. Tetrahedra can be regular, where all faces are equilateral triangles, or irregular, with varying side lengths and angles. They are commonly studied in mathematics and are also relevant in fields such as chemistry, where they describe molecular shapes.

Synonyms

tetrahedral structure, triangular pyramid.

Examples of usage

  • The molecule has a tetrahedral geometry.
  • A tetrahedron can be used to teach basic geometry.
  • They built a model of a tetrahedron for the project.
  • In crystallography, the tetrahedron is an important shape.

Translations

To see the translation, please select a language from the options available.

Interesting Facts

Mathematics

  • In geometry, a tetrahedron is classified as a polyhedron, which is a 3D shape with flat polygonal faces.
  • The tetrahedron is the simplest three-dimensional shape that can exist, known for having the least number of faces.

Science

  • In molecular science, certain molecules, like methane, are shaped like tetrahedra, influencing their physical properties.
  • This shape is also crucial in crystallography, where the arrangement of atoms can form tetrahedral structures.

Art

  • In art and design, tetrahedral forms are often employed in modern sculptures, creating dynamic and intriguing shapes.
  • The tetrahedron can symbolize stability and balance, often used in minimalist art to convey these themes.

Pop Culture

  • The tetrahedron appears in various video games and movies, often as a representation of futuristic technology or alien cultures.
  • In tabletop role-playing games, tetrahedral dice, known as d4, are used, enhancing the gaming experience with their unique shape.

Origin of 'tetrahedra'

Main points about word origin

  • The word 'tetrahedron' comes from the Greek words 'tetra,' meaning four, and 'hedron,' meaning face.
  • The use of the term has been traced back to the works of ancient Greek mathematicians, who studied geometric forms.

The term 'tetrahedron' originates from the Greek words 'tetra', meaning 'four', and 'hedron', meaning 'face' or 'base'. The concept of the tetrahedron has been known since ancient times, as it is one of the five Platonic solids described by Plato. It has been a fundamental shape in geometry, topology, and various scientific fields. The study of polyhedra dates back to the Greeks, but it has evolved significantly over the centuries, with the tetrahedron being a central figure in the development of modern geometry. In contemporary applications, the tetrahedron is utilized in computer graphics, architecture, and molecular biology, illustrating its enduring significance and versatility.

Word Frequency Rank

At rank #28,170, this word represents specialized academic or technical vocabulary. It's less frequently encountered but may be valuable in specific contexts.