## Octahedron Sentence Examples

- The regular
**octahedron**has for its faces equilateral triangles; it is the reciprocal of the cube. - All these are strikingly alike in appearance and general characters, differing essentially only in chemical composition, and it would seem better to reserve the name cerargyrite for the whole group, using the names chlorargyrite (AgC1), embolite (Ag(Cl, Bl)), bromargyrite (AgBr) and iodembolite (Ag(C1, Br, I)) for the different isomorphous members of the group. They are cubic in crystallization, with the cube and the
**octahedron**as prominent forms, but crystals are small and usually indistinct; there is no cleavage. - 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).