See 24-cell on Wiktionary
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "24",
"3": "cell"
},
"expansion": "24 + cell",
"name": "compound"
}
],
"etymology_text": "From 24 + cell.",
"forms": [
{
"form": "24-cells",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "24-cell (plural 24-cells)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Esperanto translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Japanese translations",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Geometry",
"orig": "en:Geometry",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Higher-dimensional geometry",
"orig": "en:Higher-dimensional geometry",
"parents": [
"Geometry",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Shapes",
"orig": "en:Shapes",
"parents": [
"Geometry",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"examples": [
{
"ref": "1995, Harold Scott Macdonald Coxeter, “Paper Three: Two Aspects of the Regular 24-Cell in Four Dimensions”, in F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Iviċ Weiss, editors, Kaleidoscopes: Selected Writings of H.S.M. Coxeter, page 25:",
"text": "The octagonal projection of the regular 24-cell {3,4,3} reveals that the 24 vertices of this 4-dimensional polytope can be distributed as 16 + 8: the 16 vertices of the 4-cube γ₄ = {4,3,3} and the 8 vertices of its dual, the 16-cell β₄ = {3,3,4}. This view of the 24-cell is less well-known than the dodecagonal projection, in which the β₄ appears as two squares of different sizes joined by 8 equilateral triangles.",
"type": "quote"
},
{
"text": "2002, T. Robbin, Formian for art and mathematics, G. A. R. Parke, P. Disney (editors), Space Structures 5, Proceedings of the 5th International Conference on Space Structures, Volume 1, page 445,\nOne more example of a four dimensional tessellation is given using the 24-cell, see Fig 2."
},
{
"ref": "2002, Gabor Toth, Glimpses of Algebra and Geometry, 2nd edition, page 385:",
"text": "The regular polytope with Schläfli symbol {3,4,3}, the so-called 24-cell, can be obtained from the 16-cell as follows. The vertices of the 24-cell are the midpoints of the 24 edges of the 16-cell.",
"type": "quote"
}
],
"glosses": [
"A four-dimensional polytope whose twenty-four bounding facets are octahedra and which has no three-dimensional analogue."
],
"id": "en-24-cell-en-noun-dEpf4zTz",
"links": [
[
"geometry",
"geometry"
],
[
"four-dimensional",
"four-dimensional"
],
[
"polytope",
"polytope"
],
[
"facet",
"facet"
],
[
"octahedra",
"octahedron"
]
],
"raw_glosses": [
"(geometry) A four-dimensional polytope whose twenty-four bounding facets are octahedra and which has no three-dimensional analogue."
],
"synonyms": [
{
"sense": "4-dimensional polytope with 24 octahedral facets",
"word": "hyper-diamond"
},
{
"sense": "4-dimensional polytope with 24 octahedral facets",
"word": "icositetrachoron"
},
{
"sense": "4-dimensional polytope with 24 octahedral facets",
"word": "octacube"
},
{
"sense": "4-dimensional polytope with 24 octahedral facets",
"word": "octaplex"
},
{
"sense": "4-dimensional polytope with 24 octahedral facets",
"word": "polyoctahedron"
}
],
"topics": [
"geometry",
"mathematics",
"sciences"
],
"translations": [
{
"code": "eo",
"lang": "Esperanto",
"sense": "four-dimensional polytope",
"word": "dudekkvarĉelo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "four-dimensional polytope",
"word": "24-solu"
},
{
"alt": "せいにじゅうしほうたい",
"code": "ja",
"lang": "Japanese",
"roman": "seinijūshihōtai",
"sense": "four-dimensional polytope",
"word": "正二十四胞体"
}
],
"wikipedia": [
"24-cell"
]
}
],
"sounds": [
{
"ipa": "/twɛntiˈfoʊɹˌsɛl/"
}
],
"word": "24-cell"
}
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "24",
"3": "cell"
},
"expansion": "24 + cell",
"name": "compound"
}
],
"etymology_text": "From 24 + cell.",
"forms": [
{
"form": "24-cells",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "24-cell (plural 24-cells)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English compound terms",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms spelled with numbers",
"English terms with quotations",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with Esperanto translations",
"Terms with Finnish translations",
"Terms with Japanese translations",
"en:Geometry",
"en:Higher-dimensional geometry",
"en:Mathematics",
"en:Shapes"
],
"examples": [
{
"ref": "1995, Harold Scott Macdonald Coxeter, “Paper Three: Two Aspects of the Regular 24-Cell in Four Dimensions”, in F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Iviċ Weiss, editors, Kaleidoscopes: Selected Writings of H.S.M. Coxeter, page 25:",
"text": "The octagonal projection of the regular 24-cell {3,4,3} reveals that the 24 vertices of this 4-dimensional polytope can be distributed as 16 + 8: the 16 vertices of the 4-cube γ₄ = {4,3,3} and the 8 vertices of its dual, the 16-cell β₄ = {3,3,4}. This view of the 24-cell is less well-known than the dodecagonal projection, in which the β₄ appears as two squares of different sizes joined by 8 equilateral triangles.",
"type": "quote"
},
{
"text": "2002, T. Robbin, Formian for art and mathematics, G. A. R. Parke, P. Disney (editors), Space Structures 5, Proceedings of the 5th International Conference on Space Structures, Volume 1, page 445,\nOne more example of a four dimensional tessellation is given using the 24-cell, see Fig 2."
},
{
"ref": "2002, Gabor Toth, Glimpses of Algebra and Geometry, 2nd edition, page 385:",
"text": "The regular polytope with Schläfli symbol {3,4,3}, the so-called 24-cell, can be obtained from the 16-cell as follows. The vertices of the 24-cell are the midpoints of the 24 edges of the 16-cell.",
"type": "quote"
}
],
"glosses": [
"A four-dimensional polytope whose twenty-four bounding facets are octahedra and which has no three-dimensional analogue."
],
"links": [
[
"geometry",
"geometry"
],
[
"four-dimensional",
"four-dimensional"
],
[
"polytope",
"polytope"
],
[
"facet",
"facet"
],
[
"octahedra",
"octahedron"
]
],
"raw_glosses": [
"(geometry) A four-dimensional polytope whose twenty-four bounding facets are octahedra and which has no three-dimensional analogue."
],
"topics": [
"geometry",
"mathematics",
"sciences"
],
"wikipedia": [
"24-cell"
]
}
],
"sounds": [
{
"ipa": "/twɛntiˈfoʊɹˌsɛl/"
}
],
"synonyms": [
{
"sense": "4-dimensional polytope with 24 octahedral facets",
"word": "hyper-diamond"
},
{
"sense": "4-dimensional polytope with 24 octahedral facets",
"word": "icositetrachoron"
},
{
"sense": "4-dimensional polytope with 24 octahedral facets",
"word": "octacube"
},
{
"sense": "4-dimensional polytope with 24 octahedral facets",
"word": "octaplex"
},
{
"sense": "4-dimensional polytope with 24 octahedral facets",
"word": "polyoctahedron"
}
],
"translations": [
{
"code": "eo",
"lang": "Esperanto",
"sense": "four-dimensional polytope",
"word": "dudekkvarĉelo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "four-dimensional polytope",
"word": "24-solu"
},
{
"alt": "せいにじゅうしほうたい",
"code": "ja",
"lang": "Japanese",
"roman": "seinijūshihōtai",
"sense": "four-dimensional polytope",
"word": "正二十四胞体"
}
],
"word": "24-cell"
}
Download raw JSONL data for 24-cell meaning in All languages combined (3.6kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-01 from the enwiktionary dump dated 2024-11-21 using wiktextract (95d2be1 and 64224ec). 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.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.