Dictionary

octakaidecahedron en · NOUN

Etymology

From octa- (“eight”) + -kai- (“and”) + deca- (“ten”) + -hedron.

Meanings

1. Synonym of octadecahedron.
   • In the present case, it is an octakaidecahedron with 12 vertices and 18 faces.[…]formed by the oxygen atoms of the peripheral octakaidecahedron,[…] 2014 April 11, Larry R. Falvello, Elena Forcén-Vázquez, Fernando Palacio, Sergio Sanz, Milagros Tomásc, “A discrete neutral transition-metal citrate cubane with an M₄O₄ core; coordinative versatility of the [Mᴵᴵ₄(citrate)₄]⁸⁻ fragment”, in Dalton Transactions, number 28:
   • The d-functions adapted to spherical symmetry divide the sphere in six quadrangles (around the three Cartesian axes) reserved for the e_g sub-shell and twelve hexagons for the t_(2g) sub-shell very similar to a cubic octakaidecahedron projected out to the sphere. 1971, Christian Klixbüll Jørgensen, Modern Aspects of Ligand Field Theory, →ISBN, page 84:
   • This is a packing of cubes and octakaidecahedra in which there are two types of grain comer geometry. 1981 August, Peter John Rinous, “Three-Dimensional Structures”, in Grain and Pore Morphologies in Polycrystals, thesis submitted to the University of Surrey for the degree of Doctor of Philosophy; Department of Physics, section 4 (Homogenous Structures), pages 45–46:
   • The most interesting feature here is the appearance of a new type of polyhedral cage, the 18-hedron or octakaidecahedron (see Fig. 115). 1967, Structure Reports, page 289:
   • The compound is a clathrate hydrate, and the most notable feature of the water framework is a novel polyhedral cage, the 18-hedron (octakaidecahedron),[…] 1966 November 28, R. K. McMullan, Truman H. Jordan, G. A. Jeffrey, “Polyhedral Clathrate Hydrates. XII. The Crystallographic Data on Hydrates of Ethylamine, Dimethylamine, Trimethylamine, n‐Propylamine (Two Forms), iso‐Propylamine, Diethylamine (Two Forms), and tert‐Butylamine”, in The Journal of Chemical Physics, volume 47:
   • It is an octakaidecahedron consisting of a pair of (004) square faces[…] 1985 December 2, V Ramamurthy, “Electron-phonon interactions in bct white tin”, in Pramana, volume 26, pages 525–542:
   • The rhombic faces of one-third of the rhombicdodecahedra move outwards, resulting in octakaidecahedra (8), which are equivalent to, but larger than, those of figure 2.6(b).[…]If the square faces of the octakaidecahedra continue to grow, thereby shrinking the rhombohexagonal dodecahedra, a simple cubic unimodular structure survives as shown in figure 2.6(e). 1984 September, Irfan Ahmed, “Structures with Planar Interfaces”, in An Investigation of The Morphology of Grain Growth in Polycrystals, thesis submitted to the University of Surrey for the degree of Doctor of Philosophy; Department of Physics, section 3 (Bimodular Structures), page 15:
   • […]so that the two can be regarded as single face, with the periphery more accurately described as a polyhedron with 12 vertices and 18 faces, an octakaidecahedron[…] 2014, Elena Forcén Vázquez, Metal Citrate Cubanes: Synthesis, Characterization and Properties, thesis, Universidad de Zaragoza:

Forms

Synonyms

octadecahedron