## Octahedron Sentence Examples

- The regular
**octahedron**has for its faces equilateral triangles; it is the reciprocal of the cube. - Ladenburg's prism formula would give two enantiomorphic ortho-di-substitution derivatives; while forms in which the hydrogen atoms are placed at the corners of a regular
**octahedron**would yield enantiomorphic tri-substitution derivatives. - The octahedral formula discussed by Julius Thomsen (Ber., 1886, 19, p. 2 944) consists of the six carbon atoms placed at the corners of a regular
**octahedron**, and connected together by the full lines as shown in (I); a plane projection gives a hexagon with diagonals (II). - Reduction to hexamethylene compounds necessitates the disruption of three of the edges of the
**octahedron**, the diagonal linkings remaining intact, or, in the plane projection, three peripheral linkages, the hexamethylene ring assuming the form (III); In 1888 J. - Marsh also devised a form closely resembling that of Thomsen, inasmuch as the carbon atoms occupied the angles of a regular
**octahedron**, and the diagonal linkages differed in nature from the peripheral, but differeng from Thomsen's since rupture of the diagonal and not peripheral bonds accompanied the reduction to hexamethylene. - Two parallel triangular faces are removed from a cardboard model of a regular
**octahedron**, and on the remaining six faces tetrahedra are then placed; the hydrogen atoms are at the free angles. - The native metal crystallizes in the cubic system, the
**octahedron**being the commonest form, but other and complex combinations have been observed. - The cube, the
**octahedron**, and the pentagonal dodecahedron. - 1 shows P the cube {100}, d the
**octahedron**{III }, and e the pentagonal dodecahedron {210}. - There is often a furrow running along the edges of the
**octahedron**, or across the edges of the cube, and this indicates that the apparently simple crystal may really consist of eight individuals meeting at the centre; or, what comes to the same thing, of two individuals interpenetrating and projecting through each other. - 6) are united by contact along a surface parallel to an
**octahedron**face without interpenetration. - Similar to the " etched figures " produced 7' by moistening an
**octahedron**of alum, and have probably been produced, like them, by the action of some solvent. - Diamond may break with a conchoidal fracture, but the crystals always cleave readily along planes parallel to the
**octahedron**faces: of this property the diamond cutters avail themselves when reducing the stone to the most convenient form for cutting; a sawing process, has, however, now been introduced, which is preferable to that of cleavage. - A yellowish
**octahedron**found at De Beers weighed 4282 carats, and yielded a brilliant of 2882 carats. - The combination of these two forms produces a figure resembling an
**octahedron**, the angle between P and P' being 70° 72', corresponding to the angle 70° 32' of the regular**octahedron**. - Name Flussspat or Fluss.) Fluor-spar crystallizes in the cubic system, commonly in cubes, either alone or combined with the
**octahedron**, rhombic dodecahedron, four-faced cube, &c. The four-faced cube has been called the fluoroid. - The crystals are sometimes polysynthetic, a large
**octahedron**, e.g., being built up of small cubes. - Devon, notably near Liskeard, where fine crystals have been found, with faces of the six-faced
**octahedron**replacing the corners of the cube. - Nevertheless, holding that every dimension has a principle of its own, he rejected the derivation of the elemental solids - pyramid,
**octahedron**, icosahedron and cube - from triangular surfaces, and in so far approximated to atomism. - The names of these five solids are: (r) the tetrahedron, enclosed by four equilateral triangles; (2) the cube or hexahedron, enclosed by 6 squares; (3) the
**octahedron**, enclosed by 8 equilateral triangles; (4) the dodecahedron, enclosed by 12 pentagons; (5) the icosahedron, enclosed by 20 equilateral triangles. - The equilateral triangle is the basis of the tetrahedron,
**octahedron**and icosahedron.' - Two such sets placed base to base form the
**octahedron**, which consequently has 8 faces, 6 vertices and 12 edges. - These solids played an important part in the geometry of the Pythagoreans, and in their cosmology symbolized the five elements: fire (tetrahedron), air (
**octahedron**), water (icosahedron), earth (cube), universe or ether (dodecahedron). - The truncated
**octahedron**is formed by truncating the vertices of an**octahedron**so as to leave the original faces hexagons; consequently it is bounded by 8 hexagonal and 6 square faces. - The snub cube is a 38-faced solid having at each corner 4 triangles and I square; 6 faces belong to a cube, 8 to the coaxial
**octahedron**, and the remaining 24 to no regular solid. - It is self-reciprocal; the cube and
**octahedron**, the dodecahedron and icosahedron, the small stellated dodecahedron and great dodecahedron, and the great stellated dodecahedron and great icosahedron are examples of reciprocals. - Since the tetrahedron is the hemihedral form of the
**octahedron**, and the**octahedron**and cube are reciprocal, we may term these two latter solids " reciprocal holohedra " of the tetrahedron. - Other examples of reciprocal holohedra are: the rhombic dodecahedron and cuboctahedron, with regard to the cube and
**octahedron**; and the semiregular triacontahedron and icosidodecahedron, with regard to the dodecahedron and icosahedron. - Thus the faces of the cuboctahedron, the truncated cube, and truncated
**octahedron**, correspond; likewise with the truncated dodecahedron, truncated icosahedron, and icosidodecahedron; and with the small and great rhombicosidodecahedra. - The Victoria, 180 carats, was cut from an
**octahedron**weighing 4572 carats, and was sold to the nizam of Hyderabad for £400,000. - 5 shows how the
**octahedron**with furrowed edge may be constructed from two interpenetrating tetrahedra (shown in dotted lines).