tetrahedral

Meanings

• A polyhedron composed of four equilateral triangles joined together at their edges.

  - "Example 1: A tetrahedral structure can be found in certain minerals like silicon tetrahedra. Example 2: In 3D modeling, a tetrahedral mesh is often used to represent complex geometries, such as organic molecules in drug discovery."

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Rhymes

Words rhyming with tetrahedral
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Homophones

Words having the same pronunciation but different meanings, origins, or spelling,

1. array_of_homophones_that_have_the_same_pronunciation_as_tetrahedral_but_different_meanings_or_origins
   

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Variants

List of all variants of tetrahedral that leads to same result
tetrahedral , tetrahedrally

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Forms

Different forms of the word (e.g., verb conjugations, plural forms, comparative/superlative forms for adjectives).

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Etymology

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

The word 'tetrahedral' is derived from the Greek words 'tetra' meaning 'four' and 'hedron' meaning 'a polyhedron'. Together, 'tetrahedral' describes a polyhedron made up of four triangular faces.

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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. Platonic solids: The tetrahedral structure is one of the five Platonic solids. These are regular solids, meaning they have regular, equal-sided faces and regular, equal-sized angles between their faces. The other Platonic solids are the cube (a regular hexahedron with six square faces), the octahedron (a regular octahedron with eight equilateral triangular faces), and the dodecahedron (a regular dodecahedron with twelve regular pentagonal faces). The Platonic solids have significant mathematical and historical importance and have been studied extensively in various fields, such as mathematics, physics, engineering, and computer science.

2. Buckminster Fuller's geodesic dome: Buckminster Fuller's geodesic dome is a spherical, lightweight structure that is composed of interconnected, regular triangular or pentagonal facets. The geodesic dome gets its name from the fact that it is the shape of the smallest sphere that can enclose a given area. Buckminster Fuller's geodesic dome has significant historical and architectural importance and has been studied extensively in various fields, such as mathematics, physics, engineering, and computer science.

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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.

The tetrahedral structure has significant cultural, historical, and symbolic significance. In ancient times, the tetrahedron was one of the five Platonic solids and was believed to have mystical or spiritual properties. The tetrahedron was also used in ancient Greek architecture, such as the Temple of Apollo at Delphi. In more recent times, the tetrahedral structure has been used in various fields, such as mathematics, physics, engineering, and computer science. For example, in mathematics, the tetrahedral number sequence is used to study the properties of the tetrahedron. In physics, the tetrahedral structure is used to explain the behavior of certain types of matter, such as liquid crystals and quasicrystals. In engineering and computer science, the tetrahedral structure is used to develop efficient algorithms and data structures for various applications, such as computer graphics, finite element analysis, and molecular dynamics simulations.

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