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A geometric shape (of any number of dimensions) which is fully enclosed and has flat sides, making it a member of the generalized class of shapes which includes the two-dimensional polygon and three-dimensional polyhedron; (formally) a finite region of n-dimensional space bounded by hyperplanes.
Definition source: English Wiktionary via Wiktextract
Topics: geometry, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Learned borrowing from German Polytop, originally coined by German mathematician Reinhold Hoppe in 1882, and first used in English by British mathematician Alicia Boole Stott in her 1910 paper Geometrical deduction of semiregular from regular polytopes and space fillings. By surface analysis, poly- (“many”) + -tope (“surface”), from Ancient Greek τόπος (tópos, “region; area”).
Across languages
Translations
20 source translations are retained for this English entry.
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Catalan:
polítop
— geometric shape
-
Chinese Mandarin:
多胞形
(duōbāoxíng)
— geometric shape
-
Esperanto:
hiperpluredro
— geometric shape
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French:
polytope
— geometric shape
-
German:
Polytop
— geometric shape
-
Greek:
πολύτοπο
(polýtopo)
— geometric shape
-
Hungarian:
politóp
— geometric shape
-
Italian:
politopo
— geometric shape
-
Japanese:
ポリトープ
(poritōpu)
— geometric shape
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Japanese:
超多面体
(chōtamentai)
— geometric shape
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Korean:
다포체
(dapoche)
— geometric shape
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Persian:
چندبر
— geometric shape
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Polish:
wielotop
— geometric shape
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Polish:
wielokomórka
— geometric shape
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Polish:
politop
— geometric shape
-
Portuguese:
politopo
— geometric shape
-
Russian:
полито́п
(politóp)
— geometric shape
-
Spanish:
politopo
— geometric shape
-
Swedish:
polytop
— geometric shape
-
Ukrainian:
політо́п
(politóp)
— geometric shape