polytopen.

Brit.

/ˈpɒlɪtəʊp/, U.S.

/ˈpɑliˌtoʊp/

Origin: A borrowing from German. Etymon: German Polytop.

Etymology: < German Polytop (R. Hoppe 1882, in Arch. der Math. u. Physik 68 30) < poly- poly- comb. form + ancient Greek τόπος place (see topic adj. and n.).

Geometry.

A figure generalizing the notion of a polygon in plane or a polyhedron in solid geometry to spaces of any number of dimensions.

ΘΚΠ

the world > relative properties > number > geometry > shape or figure > [noun] > of more than three dimensions

polyhedroid1880

tesseract1888

polytope1908

snub1948

1908 Proc. Sect. Sci. Koninkl. Akad. van Wetensch. Amsterdam 10 689 This leads us gradually to the question, whether it is not possible to point out one or more polytopes—if not quite regular ones—which with C₅ fill the fourdimensional space.

1929 D. M. Y. Sommerville Introd. Geom. N Dimensions x. 190 In space of three dimensions there are 5 regular polyhedra and one regular honeycomb, in S₄ there are 6 regular polytopes and three regular honeycombs.

1974 H. S. M. Coxeter Regular Complex Polytopes xiii. 141 The regular polytopes and honeycombs so far considered are the only ones that can exist in unitary spaces.

2003 New Scientist 20 Dec. 53/1 If you treat the thread count as an unknown quantity, say t, then the number of checks is a polynomial or a quasipolynomial with t as the variable—no matter what shape, or ‘polytope’, you have cut out.

This entry has been updated (OED Third Edition, September 2006; most recently modified version published online March 2022).

单词	polytope
释义	polytopen. Brit. /ˈpɒlɪtəʊp/, U.S. /ˈpɑliˌtoʊp/ Origin: A borrowing from German. Etymon: German Polytop. Etymology: < German Polytop (R. Hoppe 1882, in Arch. der Math. u. Physik 68 30) < poly- poly- comb. form + ancient Greek τόπος place (see topic adj. and n.). Geometry. A figure generalizing the notion of a polygon in plane or a polyhedron in solid geometry to spaces of any number of dimensions. ΘΚΠ the world > relative properties > number > geometry > shape or figure > [noun] > of more than three dimensions polyhedroid1880 tesseract1888 polytope1908 snub1948 1908 Proc. Sect. Sci. Koninkl. Akad. van Wetensch. Amsterdam 10 689 This leads us gradually to the question, whether it is not possible to point out one or more polytopes—if not quite regular ones—which with C₅ fill the fourdimensional space. 1929 D. M. Y. Sommerville Introd. Geom. N Dimensions x. 190 In space of three dimensions there are 5 regular polyhedra and one regular honeycomb, in S₄ there are 6 regular polytopes and three regular honeycombs. 1974 H. S. M. Coxeter Regular Complex Polytopes xiii. 141 The regular polytopes and honeycombs so far considered are the only ones that can exist in unitary spaces. 2003 New Scientist 20 Dec. 53/1 If you treat the thread count as an unknown quantity, say t, then the number of checks is a polynomial or a quasipolynomial with t as the variable—no matter what shape, or ‘polytope’, you have cut out. This entry has been updated (OED Third Edition, September 2006; most recently modified version published online March 2022). < n.1908
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