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单词 tetrahedron
释义

Definition of tetrahedron in English:

tetrahedron

nounPlural tetrahedra, Plural tetrahedrons ˌtɛtrəˈhiːdrənˌtɛtrəˈhidrən
  • A solid having four plane triangular faces; a triangular pyramid.

    Example sentencesExamples
    • Plato believed that atoms have the shapes of regular polyhedra: cubes, tetrahedrons, octahedrons, and so on.
    • The new structure consists of 20 small crystalline tetrahedrons - pyramids with four triangular sides - that fit together a bit like sections of an orange.
    • The four C-H bonds are directed towards the four corners of a tetrahedron, with carbon at its center and hydrogens at each vertex.
    • With his geodesic dome, Fuller began to express a favorite geometric shape of his, the tetrahedron, and he put it everywhere he could.
    • Whereas the tetrahedron is composed of four triangles, the pyramid, which looks a lot like it, is composed of four triangles and a square - the base.
    • The robot is called ‘TETwalker’ for tetrahedral walker, because it resembles a tetrahedron.
    • The tetrahedrite crystal on this specimen is a simple tetrahedron with very smooth, clean crystal faces and a bright, shiny metallic gray color (personal observation).
    • The strongest and most stable molecular structure is the three-dimensional tetrahedron, the configuration achieved with silicates.
    • In the methane molecule CH 4, for instance, the carbon atom is located at the center of a tetrahedron with the four hydrogen atoms located at the four apexes of the tetrahedron.
    • In particular he identified the five elements, fire, earth, air, water and celestial matter with the five regular solids, the tetrahedron, cube, octahedron, icosahedron and the dodecahedron.
    • These five remarkable solids - tetrahedron, cube, octahedron, dodecahedron, icosahedron - have faces that are congruent equilateral polygons.
    • For example, the convex hull of a 3D molecule is a convex polytope rather than a polygon, and it is tessellated by tetrahedra rather than triangles.
    • As water's temperature decreases to and falls below the normal freezing point, more and more of its molecules self-organize into clusters that have structures based on the tetrahedron, a pyramid with a triangular base.
    • The silica tetrahedra may also form a sheet structure where three oxygen atoms of each tetrahedron are shared by adjacent tetrahedra.
    • He examined a vectorial system of geometry, Energetic - Synergetic geometry, based on the tetrahedron which provides maximum strength with minimum structure.
    • An artist can look at a mathematical shape and envision unlimited possibilities, even from a shape as seemingly simple as a tetrahedron, a trefoil knot, a Möbius strip, or a fractal surface.
    • He assigned the tetrahedron to fire, because the tetrahedron is the regular solid with the sharpest angles, and because fire is the most penetrating of elements.
    • Quartz crystals are silicon atoms surrounded by a tetrahedron of oxygen atoms linked at shared corners.
    • The Enterprise Day at Joseph Rowntree School also involved representatives from The Institute Of Civil Engineers who built a giant tetrahedron with their young charges.
    • When all four corners of the tetrahedra are shared, the mineral is called a tectosilicate.

Derivatives

  • tetrahedral

  • adjective ˌtɛtrəˈhiːdrəlˌtɛtrəˈhidrəl
    • By the 1880s Wislicenus was fully convinced of the tetrahedral carbon and promoted the design of experiments as a means of understanding the spatial arrangement of atoms in organic structures.
      Example sentencesExamples
      • For instance, if you assemble carbon atoms so that each one bonds to four others in a tetrahedral pattern, you end up with diamond.
      • Carbon normally forms tetrahedral structures, with the bonds about 108° apart.
      • In designing aircraft his use of tetrahedral structural elements inspired him to develop and patent a system of space frame architecture.
      • Klee's mountains, pyramidal in form, might suggest to some the tetrahedral silicate structures of rock-forming minerals, but this connection may not have been in the mind of the artist.

Origin

Late 16th century: from late Greek tetraedron, neuter (used as a noun) of tetraedros 'four-sided'.

Rhymes

decahedron, dodecahedron, octahedron, polyhedron
 
 

Definition of tetrahedron in US English:

tetrahedron

nounˌtɛtrəˈhidrənˌtetrəˈhēdrən
  • A solid having four plane triangular faces; a triangular pyramid.

    Example sentencesExamples
    • As water's temperature decreases to and falls below the normal freezing point, more and more of its molecules self-organize into clusters that have structures based on the tetrahedron, a pyramid with a triangular base.
    • Plato believed that atoms have the shapes of regular polyhedra: cubes, tetrahedrons, octahedrons, and so on.
    • In the methane molecule CH 4, for instance, the carbon atom is located at the center of a tetrahedron with the four hydrogen atoms located at the four apexes of the tetrahedron.
    • The four C-H bonds are directed towards the four corners of a tetrahedron, with carbon at its center and hydrogens at each vertex.
    • Whereas the tetrahedron is composed of four triangles, the pyramid, which looks a lot like it, is composed of four triangles and a square - the base.
    • For example, the convex hull of a 3D molecule is a convex polytope rather than a polygon, and it is tessellated by tetrahedra rather than triangles.
    • The silica tetrahedra may also form a sheet structure where three oxygen atoms of each tetrahedron are shared by adjacent tetrahedra.
    • These five remarkable solids - tetrahedron, cube, octahedron, dodecahedron, icosahedron - have faces that are congruent equilateral polygons.
    • The new structure consists of 20 small crystalline tetrahedrons - pyramids with four triangular sides - that fit together a bit like sections of an orange.
    • The strongest and most stable molecular structure is the three-dimensional tetrahedron, the configuration achieved with silicates.
    • An artist can look at a mathematical shape and envision unlimited possibilities, even from a shape as seemingly simple as a tetrahedron, a trefoil knot, a Möbius strip, or a fractal surface.
    • When all four corners of the tetrahedra are shared, the mineral is called a tectosilicate.
    • The robot is called ‘TETwalker’ for tetrahedral walker, because it resembles a tetrahedron.
    • The tetrahedrite crystal on this specimen is a simple tetrahedron with very smooth, clean crystal faces and a bright, shiny metallic gray color (personal observation).
    • Quartz crystals are silicon atoms surrounded by a tetrahedron of oxygen atoms linked at shared corners.
    • He assigned the tetrahedron to fire, because the tetrahedron is the regular solid with the sharpest angles, and because fire is the most penetrating of elements.
    • With his geodesic dome, Fuller began to express a favorite geometric shape of his, the tetrahedron, and he put it everywhere he could.
    • The Enterprise Day at Joseph Rowntree School also involved representatives from The Institute Of Civil Engineers who built a giant tetrahedron with their young charges.
    • In particular he identified the five elements, fire, earth, air, water and celestial matter with the five regular solids, the tetrahedron, cube, octahedron, icosahedron and the dodecahedron.
    • He examined a vectorial system of geometry, Energetic - Synergetic geometry, based on the tetrahedron which provides maximum strength with minimum structure.

Origin

Late 16th century: from late Greek tetraedron, neuter (used as a noun) of tetraedros ‘four-sided’.

 
 
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更新时间:2024/12/23 8:55:54