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trapezohedron    
偏方三八面体

偏方三八面体

trapezohedron
n 1: a polyhedron whose faces are trapeziums

Trapezohedron \Trap`e*zo*he"dron\, n. [NL., from trapezium Gr.
? seat, base, fr. ? to sit.] (Crystalloq.)
(a) A solid bounded by twenty-four equal and similar
trapeziums; a tetragonal trisoctahedron. See the Note
under {Trisoctahedron}.
(b) A tetartohedral solid of the hexagonal system, bounded by
six trapezoidal planes. The faces of this form are common
on quartz crystals.
[1913 Webster]


Trisoctahedron \Tris*oc`ta*he"dron\, n. [Gr. ? thrice FE.
octahedron.] (Crystallog.)
A solid of the isometric system bounded by twenty-four equal
faces, three corresponding to each face of an octahedron.
[1913 Webster]

{Tetragonal trisoctahedron}, a trisoctahedron each face of
which is a quadrilateral; called also {trapezohedron} and
{icositetrahedron}.

{Trigonal trisoctahedron}, a trisoctahedron each face of
which is an isosceles triangle.
[1913 Webster] Trispast


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  • Trapezohedron - Wikipedia
    In geometry, an n-gonal trapezohedron, n-trapezohedron, n-antidipyramid, n-antibipyramid, or n-deltohedron [3], [4] is the dual polyhedron of an n-gonal antiprism The 2 n faces of an n -trapezohedron are congruent and symmetrically staggered; they are called twisted kites
  • Trapezohedron -- from Wolfram MathWorld
    An n-trapezohedron, also called an antidipyramid, antibipyramid, or deltohedron (not to be confused with a deltahedron), is a solid composed of interleaved symmetric quadrilateral kites, half of which meet in a top vertex and half in a bottom vertex
  • Trapezohedron - Definition, Usage Quiz | UltimateLexicon. com
    A trapezohedron is a type of polyhedron characterized by having faces that are trapezoids In three-dimensional geometry, a trapezohedron is a polyhedron created by a dual and is generally derived from a n-sided prism, forming two pyramids with n-sided bases connected by their bases
  • Trapezohedron | Britannica
    Other articles where trapezohedron is discussed: form: …face is a scalene triangle; Trapezohedron: 6-, 8-, 12-, or 24-faced closed form in which half the faces are offset above the other half; in well-developed crystals, each face is a trapezium; Dipyramid: 6-, 8-, 12-, 16-, or 24-faced closed form in which the lower pyramid is a reflection of…
  • TRAPEZOHEDRONS Definition Meaning - Merriam-Webster
    The meaning of TRAPEZOHEDRON is a crystalline form whose faces are trapeziums
  • Trapezohedron - Geometry Calculator - Rechneronline
    A trapezohedron (or deltohedron) is a bipyramid, that is twisted in itself for 180° n A regular trapezohedron is the dual body of a unifrom antiprism The faces are 2n deltoids
  • Trapezohedron - definition of trapezohedron by . . . - The Free Dictionary
    Define trapezohedron trapezohedron synonyms, trapezohedron pronunciation, trapezohedron translation, English dictionary definition of trapezohedron n pl tra·pe·zo·he·drons or tra·pe·zo·he·dra Any of several forms of crystal with trapeziums as faces
  • What does trapezohedron mean? - Definitions. net
    A trapezohedron is a three-dimensional geometric solid shape that has congruent or identical faces that are all trapezoids or deltohedrons This shape is typically considered a type of polyhedron Key properties include its symmetrical shape and equal angles, and it is commonly seen in the form of crystals in nature
  • Trapezohedron
    A polyhedron whose faces are trapeziums is called a trapezohedron The trapezohedra are the dual polyhedra of the Archimedean antiprisms
  • trapezohedron - Wiktionary, the free dictionary
    A trapezohedron has 24 equal faces, each a four-sided figure or trapezium Unlike the forms already described, which are always the same, there are several different trapezohedrons, all having the same number of faces but differing in the angles between the faces





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