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单词 polytopal
释义

polytopaladj.

Brit. /ˌpɒlɪˈtəʊpl/, U.S. /ˌpɑliˈtoʊp(ə)l/
Origin: Formed within English, by derivation. Etymons: polytope n., -al suffix1.
Etymology: < polytope n. + -al suffix1.
1. Geometry. Of, relating to, or of the nature of a polytope.
ΘΚΠ
the world > relative properties > number > geometry > shape or figure > [adjective] > of more than three dimensions
tesseractic1888
snub1934
polytopal1966
1966 V. Klee in IBM Sci. Computing Symposium on Combinatorial Problems: Proc. ix. 128 A d-tuple..will be called simplicially polytopal..provided that it corresponds to a simplicial d-polytope.
1972 Proc. Amer. Math. Soc. 34 215 Certain incidence relations of hyperplanes and closed convex sets in a d-polytope can be preserved while replacing these sets by suitable polytopal subsets.
1993 Astrophysical Jrnl. 406 383 Such a closed universe may display in vestigial form on the scale of superclusters the polytopal structure of the original microuniverse.
2. Chemistry. Designating or relating to a form of stereoisomerism in which different two- or three-dimensional conformations of ligands are possible around a central atom.
ΚΠ
1968 E. L. Muetterties in Jrnl. Amer. Chem. Soc. 90 5101/1 The explicit topological representation in polytopal form is uniquely the reduction (cell first) of the γ4 regular polytope (tesseract) into three dimensions.]
1969 E. L. Muetterties in Jrnl. Amer. Chem. Soc. 91 1636/1 Examples of polytopal isomers are the tetrahedron and square plane in the four-atom family, and the square antiprism and trigonal dodecahedron in the eight-atom family.
1980 Molecular Physics 41 1163 The CF3 group in CF3PF4 occupies an equatorial position in the ground state structure and..the less stable axial structure may be reached via a polytopal rearrangement.
1984 N. N. Greenwood & A. Earnshaw Chem. of Elements (1986) xix. 1078 Conformational isomerism... In principle this type of isomerism (also known as ‘polytopal’ isomerism) is possible with any coordination number for which there is more than one known stereochemistry.
This entry has been updated (OED Third Edition, September 2006; most recently modified version published online March 2022).
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adj.1966
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