See 8-cell in All languages combined, or Wiktionary
Download JSON data for 8-cell meaning in English (4.8kB)
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"ref": "1988, Klaus Mainzer, Symmetries of Nature: A Handbook for Philosophy of Nature and Science, published 1996, page 159",
"text": "According to this table the tetrahedron corresponds to the 5-cell, the cube to the 8-cell (\"hypercube\"), the octahedron to the 16-cell, the dodecahedron to the 120-cell and the icosahedron to the 600-cell. The 24-cell is an additional body in four-dimensional space which is dual to itself.",
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"ref": "1996, John Milnor, “Growing Up in the Old Fine Hall”, in Hugo Rossi, editor, Prospects in Mathematics: Invited Talks on the Occasion of the 250th Anniversary of Princeton University, page 6",
"text": "Similarly in dimension eight there is the quaternionic projective plane which we can think of as a 4-sphere with an 8-cell attached, and in dimension sixteen there is a Cayley projective plane which has similar properties.",
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"ref": "1997, J. François Gabriel, editor, Beyond the Cube: The Architecture of Space Frames and Polyhedra, page 412",
"text": "Of these nine, five are finite structures in Euclidean space and include the simplex, {3,3,3} (or 5-cell), the four-dimensional cube {4,3,3} (or 8-cell) and its dual {3,3,4} (or 16-cell), and the 120-cell {5,3,3} and its dual {3,3,5} (or 600-cell).",
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"A four-dimensional polytope, analogous to a cube, whose eight bounding facets are cubes; a tesseract."
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"(geometry) A four-dimensional polytope, analogous to a cube, whose eight bounding facets are cubes; a tesseract."
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"word": "4-cube"
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"english": "or 4-dimensional hypercube",
"sense": "4-dimensional polytope analogous to a cube",
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"code": "eo",
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"sense": "four-dimensional polytope",
"word": "okĉelo"
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"sense": "four-dimensional polytope",
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"word": "ipertetraedro"
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{
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"sense": "four-dimensional polytope",
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"word": "tesseratto"
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"sense": "four-dimensional polytope",
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"sense": "four-dimensional polytope",
"word": "正八胞体"
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"word": "tesseratto"
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{
"code": "it",
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"sense": "four-dimensional polytope",
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"word": "ipercubo quadridimensionale"
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"alt": "せいはちほうたい",
"code": "ja",
"lang": "Japanese",
"roman": "seihachihōtai",
"sense": "four-dimensional polytope",
"word": "正八胞体"
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"word": "8-cell"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-06 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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