Category:4-polytopes
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English: In geometry, a 4-polytope (sometimes called a polychoron) is a four-dimensional polytope. It is a connected and closed figure, composed of lower dimensional polytopal elements: vertices, edges, faces (polygons), and cells (polyhedra). Each face is shared by exactly two cells.
Esperanto: En geometrio 4-hiperpluredro aŭ plurĉelo estas kvar-dimensia hiperpluredro. La du-dimensia analogo de 4-hiperpluredro estas plurlatero, kaj la tri-dimensia analogo estas pluredro.
Español: Un polícoro, en geometría, es un politopo de cuatro dimensiones (del griego poli, "muchos" y coros, "espacio"), también se denomina polícoron, 4-politopo o poliedroide. El análogo bidimensional de un polícoro es un polígono, y el tridimiensional un poliedro.
Italiano: In geometria, un politopo quadridimensionale viene talvolta chiamato policoro, dalla radice greca poly, che significa "molti", e choros che significa "spazio".
日本語: 多胞体（たほうたい）とは、一般 次元のユークリッド空間における立体の一種である。特に4次元空間内における3次元の広がりを持った立体を指す場合が多く、ここではその場合について述べる。英語では、これを polychoron と呼び、一般次元のものは polytope と呼ばれる。一般の場合はポリトープを参照のこと。
Nederlands: Een polychoron (meervoud: polychora) is in de meetkunde een vierdimensionale polytoop. Het woord komt van de Griekse wortel poly, wat "veel", en choros wat "ruimte" betekent. Een polychoron wordt ook wel een 4-polytoop of polyhedroïde genoemd. Het tweedimensionale analogon van een polychoron is een veelhoek (eng: 'polygon'), en het driedimensionale analogon is is een veelvlak (Engels: 'polyhedron').
Simple English: In geometry, a polychoron (plural: polychora) is a four-dimensional figure. The word comes from Greek poly, which means many and choros which means room, or space. Sometimes the figure is called 4-polytope or polyhedroid. The two-dimensional analogue figure is a polygon, and the three-dimensional one is a polyhedron.
Subcategories
This category has the following 17 subcategories, out of 17 total.
Media in category "4-polytopes"
The following 70 files are in this category, out of 70 total.
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24-cell s3 B2.png 1,067 × 1,071; 599 KB
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24-cell s3 B3.png 1,067 × 971; 491 KB
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24-cell vertex geometry.jpg 707 × 656; 67 KB
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24-cell vertex geometry.png 3,000 × 3,050; 597 KB
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3-4 duoprism skew.png 1,757 × 649; 103 KB
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4D Cubic Cupola-perspective-cube-first.png 215 × 204; 34 KB
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4D Cubic Cupola-perspective-side-view.png 320 × 240; 37 KB
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4D octahedral cupola-perspective-octahedron-first.png 235 × 230; 45 KB
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4D octahedral cupola-perspective-side-view.png 320 × 240; 21 KB
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4DHypercubeTmason.png 1,234 × 492; 27 KB
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5-2-disphenoid.png 726 × 919; 30 KB
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5-Pyramid of Elongated triangular Pyramidal prism.svg 425 × 510; 12 KB
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5-Pyramid of Elongated triangular Pyramidal pyramid.svg 425 × 510; 8 KB
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7-2 step prism animation small.gif 250 × 250; 5.17 MB
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7-2 step prism animation.gif 700 × 700; 13.68 MB
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Bidex ortho 12-gon.png 1,084 × 1,069; 623 KB
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Bidex ortho-30-gon.png 2,048 × 1,959; 1.24 MB
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Birhombatodecachoron vertex figure.png 423 × 423; 5 KB
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Brückner Achtzelle 1.jpg 2,299 × 1,415; 705 KB
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Brückner Achtzelle 2.jpg 2,056 × 1,417; 728 KB
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Cell10-4dpolytope.png 641 × 320; 28 KB
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Cell720-4dpolytope.png 640 × 640; 239 KB
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Compound dual 5-cells A5 coxeter plane.png 845 × 810; 99 KB
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Compound dual 5-cells and bitruncated 5-cell intersection A4 coxeter plane.png 1,428 × 1,399; 507 KB
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Conway regular star 4-polytope tree.png 708 × 501; 26 KB
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Cubic 8-color honeycomb.png 793 × 774; 21 KB
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Cubic bipyramid-ortho.png 1,978 × 1,918; 132 KB
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Dodecahedral bipyramid-ortho.png 1,668 × 2,020; 93 KB
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Elongated triangular Pyramidal prism.svg 340 × 510; 11 KB
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Elongated triangular Pyramidal pyramid.svg 340 × 510; 6 KB
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F4Coxeter.svg 599 × 599; 13 KB
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Grand 600-cell-ortho-10gon.png 2,013 × 1,945; 1.79 MB
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Grand 600-cell-ortho-4gon.png 2,016 × 2,011; 2.24 MB
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Grand 600-cell-ortho-6gon.png 2,007 × 2,023; 2 MB
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Grand antiprism 600-cell H3.png 2,045 × 1,165; 1.8 MB
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Great grand stellated 120-cell-4gon.png 2,006 × 1,975; 2.96 MB
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Great grand stellated 120-cell-6gon.png 1,988 × 2,007; 2.69 MB
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Great grand stellated 120-cell-ortho-10gon.png 1,939 × 1,982; 1.72 MB
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Hyperb icosahedral hc.png 800 × 800; 1.22 MB
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Hypersphere coord.PNG 320 × 425; 104 KB
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Icosahedral prism-ortho.png 987 × 839; 46 KB
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Icositetrachoronic tetracomb.png 800 × 800; 1.01 MB
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J11 pyramid.png 1,093 × 977; 58 KB
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J62 pyramid.png 751 × 868; 38 KB
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J63 pyramid.png 891 × 950; 42 KB
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Omnitruncated 120-cell-2-fold-ring-cells.png 1,537 × 1,441; 89 KB
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Omnitruncated 120-cell-3-fold-ring-cells.png 1,695 × 1,534; 110 KB
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Omnitruncated 120-cell-5-fold-ring-cells.png 1,727 × 1,641; 130 KB
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Orthotope.svg 668 × 379; 22 KB
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Pentagonal antiprism pyramid.png 1,049 × 835; 48 KB
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Pentagonal prism pyramid.png 1,045 × 851; 37 KB
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Pentagonal prismatic pyramid.svg 312 × 312; 9 KB
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Pyramids in 4 Dimensions.png 973 × 404; 31 KB
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Regular compound 75 16-cells.png 2,075 × 1,922; 1.65 MB
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Regular compound 75 tesseracts.png 2,051 × 1,946; 1.45 MB
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Runcinated 120-cell-2-fold-ring-cells.png 1,504 × 1,474; 76 KB
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Runcinated 120-cell-3-fold-ring-cells.png 1,621 × 1,514; 83 KB
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Runcinated 120-cell-5-fold-ring-cells.png 1,631 × 1,604; 99 KB
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Small stellated 120-cell ortho-10gon.png 2,000 × 2,000; 1.13 MB
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Small stellated 120-cell ortho-4gon.png 2,054 × 2,061; 2.63 MB
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Small stellated 120-cell ortho-6gon.png 2,042 × 1,901; 1.94 MB
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Snub 24-cell ortho30-gon.png 1,083 × 1,061; 714 KB
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Square antiprism pyramid.png 957 × 827; 41 KB
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Square pyramid helix.png 2,000 × 231; 58 KB
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T-120-cell with 600 vertices.png 450 × 451; 32 KB
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Triangular-prism-3d-4d.png 600 × 1,008; 45 KB
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Triicositetradiminished hexacosichoron F4.png 2,000 × 2,000; 1.07 MB
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Triicositetradiminished hexacosichoron net.png 1,561 × 1,774; 528 KB
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Truncated octahedral pyramid.png 805 × 820; 232 KB
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Tutcup-ortho.png 1,000 × 1,000; 263 KB
