Standard Lemma guide

polytope

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

  • UK: /ˈpɒlɪˌtəʊp/
  • UK: /ˈpɒliːˌtəʊp/
  • US: /ˈpɑliˌtoʊp/
  • US: Recorded audio is listed in the source snapshot.
  • rhymes with -ɒlɪtəʊp
  • rhymes with -ɒliːtəʊp

1

noun

Meaning 1

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

History

Etymology

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.

  • Catalan: polítop — geometric shape
  • Chinese Mandarin: 多胞形 (duōbāoxíng) — geometric shape
  • Esperanto: hiperpluredro — geometric shape
  • 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
  • Japanese: 超多面体 (chōtamentai) — geometric shape
  • Korean: 다포체 (dapoche) — geometric shape
  • Persian: چندبر — geometric shape
  • Polish: wielotop — geometric shape
  • Polish: wielokomórka — geometric shape
  • 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
Real reading context

polytope in complete knowledge articles