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tetrahedron
tetrahedron Geom. (tɛtrəˈhiːdrən, -ˈhɛdrən) Pl. -a or -ons. Also 6–9 tetraedron; 6–8 tetra(h)edrum. [ad. late Gr. τετράεδρον n., prop. neut. of τετράεδρος adj. four-sided, f. τετρα- four + ἕδρα base.] A solid figure contained by four plane triangular faces, a triangular pyramid; spec. the regular te... Oxford English Dictionary
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Tetrahedron - Wikipedia
3D model of a regular tetrahedron. In geometry, a tetrahedron (pl.: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.The tetrahedron is the simplest of all the ordinary convex polyhedra.. The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex ...
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Regular Tetrahedron -- from Wolfram MathWorld
The regular tetrahedron, often simply called "the" tetrahedron, is the Platonic solid with four polyhedron vertices, six polyhedron edges, and four equivalent equilateral triangular faces, 4{3}. It is illustrated above together with a wireframe version and a net that can be used for its construction. The regular tetrahedron is also the uniform polyhedron with Maeder index 1 (Maeder 1997 ...
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Tetrahedron Letters | Journal | ScienceDirect.com by Elsevier
The Tetrahedron Family of journals are the home for organic chemists across disciplines and around the globe. We are building on a legacy of publishing excellence and offering dedicated editorial support and expert peer review; the choice to publish your work as open access or subscription; …. View full aims & scope. $3690.
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Tetrahedron (journal)
Tetrahedron is a weekly peer-reviewed scientific journal covering the field of organic chemistry. According to the Journal Citation Reports, Tetrahedron has a 2020 impact factor of 2.457. wikipedia.org
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Integer tetrahedron division. Let an integer tetrahedron be a tetrahedron where all edge lengths are integers. Can an integer tetrahedron be divided into smaller integer tetrahedra?
$E_{9,10}(0,0,\pm39\frac{1}{2})$, $E_{11,12}(0,0,\pm56\frac{1}{2})$, $E_{13,14}(0,0,\pm95\frac{1}{2})$, (which belong to $AB$), then each tetrahedron $AE_jCD$, $BE_jCD$, where $j=1,2,...,14$, is integer tetrahedron too.
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Goursat tetrahedron
domain tetrahedron. See Tetrahedron#Isometries of irregular tetrahedra for 7 lower symmetry isometries of the tetrahedron. wikipedia.org
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Height of irregular tetrahedron, center of sphere I know the lengths of all edges of a tetrahedron. How can i connect that with the height of the irregular tetrahedron? Is there a relation between the height of tetrah...
If a tetrahedron is not regular, it does not make sense to talk about _the_ heigth, since there are four heights, one for each face. triangle with side lengths $a\cdot a', b\cdot b', c\cdot c'$, with $a\leftrightarrow a',b\leftrightarrow b',c\leftrightarrow c'$ being opposite edges in the tetrahedron
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Heronian tetrahedron
A Heronian tetrahedron (also called a Heron tetrahedron or perfect pyramid) is a tetrahedron whose edge lengths, face areas and volume are all integers Classification, infinite families, and special types of tetrahedron A regular tetrahedron (one with all faces being equilateral) cannot be a Heronian tetrahedron wikipedia.org
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Hill tetrahedron
Define the Hill tetrahedron as follows: A special case is the tetrahedron having all sides right triangles, two with sides and two with sides . Coxeter called it the characteristic tetrahedron of the cubic spacefilling. Properties A cube can be tiled with six copies of . wikipedia.org
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Orthocentric tetrahedron
In geometry, an orthocentric tetrahedron is a tetrahedron where all three pairs of opposite edges are perpendicular. In an orthocentric tetrahedron the four altitudes are concurrent. wikipedia.org
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Truncated tetrahedron
In geometry, the truncated tetrahedron is an Archimedean solid. The rectification of a tetrahedron produces an octahedron. wikipedia.org
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(PDF) A Tetrahedron-Based Endmember Selection Approach ... - ResearchGate
The results indicated that the tetrahedron-based endmember selection approach performed better in both accuracy and ease of identification for urban surface endmembers owing to the 3-D ...
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Trirectangular tetrahedron
In geometry, a trirectangular tetrahedron is a tetrahedron where all three face angles at one vertex are right angles. Thus a trirectangular tetrahedron with integer edges is never a perfect body. wikipedia.org
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Tetrahedron in Bottrop
The Tetrahedron in Bottrop (German: Bottrop Tetraeder or officially Haldenereignis Emscherblick) is a walkable steel structure in the form of a tetrahedron At the top of the tetrahedron, the Düsseldorf artist Jürgen LIT Fischer designed the impressive light sculpture called "Fractal". wikipedia.org
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