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tetrahedron

/te-truh-hee-druhn/US // ˌtɛ trəˈhi drən //UK // (ˌtɛtrəˈhiːdrən) //

四面体,四角形,四方体,四维平面

Definitions

n.名词 noun
  1. 1

    plural tet·ra·he·drons, tet·ra·he·dra [te-truh-hee-druh]. /ˌtɛ trəˈhi drə/.

    • : Geometry. a solid contained by four plane faces; a triangular pyramid.
    • : any of various objects resembling a tetrahedron in the distribution of its faces or apexes.

Examples

  • Furthermore, in 1980 Hans Debrunner showed that any tetrahedron that tiles space must have a Dehn invariant of 0 — the same as a cube.

  • The tetrahedron is the simplest three-dimensional shape with flat sides.

  • It establishes that there are exactly 59 isolated examples plus two infinite families of tetrahedra that meet this condition.

  • On the cube, tetrahedron, octahedron and icosahedron, any straight path that starts and ends on the same vertex must pass through some other vertex along the way.

  • Imagine starting from a vertex of a tetrahedron and heading out on a straight path along a face.

  • Kailas turns a sharp edge to the north, and from here the peak resembles a tetrahedron more than ever.

  • The most simple of all would have been the tetrahedron, or pyramid built upon a triangular base.

  • At the vertices of a regular tetrahedron may be found such points.

  • Above the tetrahedron is a balloon-shaped figure, apparently drawn into shape by the attraction of the tetrahedron.

  • This puzzle concerns the painting of the four sides of a tetrahedron, or triangular pyramid.