polyhedron

English

Alternative forms

• polyedron

Etymology

From New Latin polyedron, from Ancient Greek πολύεδρος (polúedros, “having many seats”), from πολυ- (polu-, “many”) + ἕδρα (hédra, “seat”); compare French polyèdre. By surface analysis, poly- +‎ -hedron.

Pronunciation

• (UK) enPR: pŏlēhē'drən, IPA^(key): /pɒliˈhiːdɹən/

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Noun

polyhedron (plural polyhedra or polyhedrons)

1. (geometry) A solid figure with many flat faces and straight edges.
   • 1966, Norman W. Johnson, “Convex Polyhedra with Regular Faces”, in Canadian Journal of Mathematics, volume XVIII, number I, Toronto: University of Toronto Press, page 181:

     Of the convex polyhedra with regular faces, the only ones that have tetrahedral, octahedral, or icosahedral symmetry are the Platonic and Archimedean solids.

2. (optics) A polyscope, or multiplying glass.

Hypernyms

• abstract polyhedron
• polytope

Hyponyms

Hyponyms

• convex polyhedron
• star polyhedron
• uniform polyhedron
• dual polyhedron
• noble polyhedron
• regular polyhedron
  • Platonic solid
    • cube
  • Kepler-Poinsot polyhedron
• quasiregular polyhedron
  • Archimedean solid
  • Catalan solid
• semiregular polyhedron
  • Archimedean solid
  • Catalan solid
  • prism
  • antiprism
  • dipyramid
  • trapezohedron
• dodecahedron
• hexahedron
• icosahedron
• octahedron
• tetrahedron
• deltahedron
• Johnson solid
• zonohedron

See also Thesaurus:polyhedron

Derived terms

• Euler's polyhedron formula
• Schönhardt polyhedron

 

Translations

geometry: solid figure

• Armenian: բազմանիստ (hy) (bazmanist)
• Belarusian: шматгра́ннік m (šmathránnik), мнагагра́ннік m (mnahahránnik)
• Bulgarian: полиедър (bg) m (poliedǎr), многостен (bg) m (mnogosten)
• Catalan: poliedre (ca) m, políedre (ca) m
• Chinese:

  Mandarin: 多面體／多面体 (zh) (duōmiàntǐ)

• Crimean Tatar: çoqhanelik
• Czech: mnohostěn m
• Danish: polyeder n
• Dutch: veelvlak (nl) n, polyeder (nl) m
• Esperanto: pluredro
• Finnish: monitahokas (fi), polyedri (fi), tahokas (fi)
• French: polyèdre (fr) m
• German: Polyeder (de) n, Vielflach (de) n, Vielflächner (de) m
• Greek: πολύεδρον n (polýedron)
• Hungarian: poliéder (hu)
• Icelandic: margflötungur m
• Ido: poliedro (io)
• Italian: poliedro (it)
• Japanese: 多面体 (ja) (ためんたい, tamentai)
• Kazakh: көпжақ (köpjaq)
• Korean: 다면체(多面體) (ko) (damyeonche)
• Latvian: daudzstūris (lv)
• Macedonian: полиедар m (poliedar)
• Maori: matarau
• Norwegian:

  Bokmål: polyeder n

  Nynorsk: polyeder n

• Polish: wielościan (pl) m
• Portuguese: poliedro (pt) m
• Romanian: poliedru (ro) n, poliedre n pl
• Russian: многогра́нник (ru) m (mnogogránnik), полиэ́др (ru) m (poliédr)
• Slovak: mnohosten m
• Slovene: polieder m
• Spanish: poliedro (es)
• Swedish: polyeder (sv) c
• Tagalog: damdayag
• Ukrainian: багатогра́нник (uk) m (bahatohránnyk), многогра́нник (uk) m (mnohohránnyk)
• Vietnamese: đa diện (vi)

polyscope — see polyscope

See also

• apeirohedron
• Schläfli symbol
• spherical polyhedron
• subpolyhedron
• tessellation