American Heritage® Dictionary of the English Language, Fourth Edition
- n. A polyhedron with four faces.
Century Dictionary and Cyclopedia
- n. A solid comprehended under four plane faces; especially, the regular tetrahedron, or triangular pyramid having its base and sides equilateral triangles. In crystallography and in geometry the tetrahedron is regarded as a hemihedral form of the octahedron, four of whose faces form the plus, and the four alternate faces (two above and two below) the minus tetrahedron. The figures represent the tetrahedron in the position required to exhibit its relation to the octahedron. See
- n. geometry a polyhedron with four faces; the regular tetrahedron, the faces of which are equal equilateral triangles, is one of the Platonic solids.
GNU Webster's 1913
- n. (Geom.) A solid figure inclosed or bounded by four triangles.
- n. any polyhedron having four plane faces
- From Ancient Greek τετράεδρον (tetraedron, "triangle-based pyramid"), from τετράς (tetras, "four") + ἕδρα (hedra, "seat"). (Wiktionary)
- Late Greek tetraedron, from Greek, neuter of tetraedros, four-faced : tetra-, tetra- + hedrā, face of a geometric solid. (American Heritage® Dictionary of the English Language, Fourth Edition)
“A tetrahedron is a good model for e.g. a carbon atom in a molecular form, and the tighter the "packing," the tighter the molecular bonds.”
“Otherwise known as a tetrahedron, a "Caltrop", or to a lesser degree "Ol' Pointy".”
“Your tetrahedron could be our key to all the mysteries of Omegan science and history.”
“In our space, four equidistant points can be located, the vertices of a tetrahedron, that is, a pyramid having four triangular faces.”
“It will be seen that the tetrahedron is the fundamental form, the three-sided pyramid on a triangular base, _i. e._, a solid figure formed from four triangles.”
“The tetrahedron is the form of chromium and molybdenum, but not that of the head of their group, oxygen, which is, like hydrogen, _sui generis_.”
“Above the tetrahedron is a balloon-shaped figure, apparently drawn into shape by the attraction of the tetrahedron.”
“A classic 3D fractal is the Sierpinski tetrahedron, which is a tetrahedron of tetrahedra of tetrahedra, etc.”
“Through them, one had a spec - tacular view across the river to the futuristic Flamme d'Or, the Phillippe Starke-designed building of black glass, a kind of tetrahedron on acid, surmounted by a vaguely flamelike shape derisively christened by Tokyoites "the Golden Turd.”
“For the first prize in 1901 the Academy had to consider 20 nominations, but no less than 11 of these named van't Hoff, who was also chosen by the Committee for Chemistry. van't Hoff had already during his thesis work in Utrecht in 1874 published his suggestion that the carbon atom has its four valences directed towards the corners of a regular tetrahedron, a concept which is the very foundation of modern organic chemistry.”
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This class consists of the five Platonic solids, (the only regular convex polyhedra), and the four Kepler-Poinsot (regular starry) polyhedra.
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