See 16-cell in All languages combined, or Wiktionary
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "16",
"3": "cell"
},
"expansion": "16 + cell",
"name": "compound"
}
],
"etymology_text": "From 16 + cell.",
"forms": [
{
"form": "16-cells",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "16-cell (plural 16-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 Italian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Japanese translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Russian 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, editor, Kaleidoscopes: Selected Writings of H.S.M. Coxeter, page 32:",
"text": "The remaining 8, as before, are the vertices of the complementary 16-cell (see Figure 9). In Figure 7, these 8 points have been blackened, but not joined, because the 16-cell has longer edges; diameters of octahedral facets of the 24-cell.",
"type": "quote"
},
{
"ref": "2002, Gabor Toth, Glimpses of Algebra and Geometry, 2nd edition, page 385:",
"text": "This polytope has 16 tetrahedral cells, and for this reason it is called the 16-cell.[…]The 16-cell has 24 edges that are the diagonals of the 24 square faces of the hypercube. (Since we are selecting alternate vertices of the hypercube, we only get one diagonal for each square face.)",
"type": "quote"
},
{
"ref": "2012, John Barnes, Gems of Geometry, 2nd edition, page 76:",
"text": "We will now consider the dual 16-cell. In some ways the 16-cell is a bit easier because it has fewer vertices and edges. But on the other hand the hypercube is perhaps easier to understand intuitively because we can readily (perhaps) see the various cubes of which it is composed.",
"type": "quote"
}
],
"glosses": [
"A four-dimensional polytope, analogous to an octahedron, whose sixteen bounding facets are tetrahedra."
],
"id": "en-16-cell-en-noun-etCEe2TX",
"links": [
[
"geometry",
"geometry"
],
[
"four-dimensional",
"four-dimensional"
],
[
"polytope",
"polytope"
],
[
"octahedron",
"octahedron"
],
[
"facet",
"facet"
],
[
"tetrahedra",
"tetrahedron"
]
],
"raw_glosses": [
"(geometry) A four-dimensional polytope, analogous to an octahedron, whose sixteen bounding facets are tetrahedra."
],
"synonyms": [
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "4-orthoplex"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "4-demicube"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "4-hemicube"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "demihypercube"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "demitesseract"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "hexadecachoron"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "hexadecahedroid"
}
],
"topics": [
"geometry",
"mathematics",
"sciences"
],
"translations": [
{
"code": "eo",
"lang": "Esperanto",
"sense": "four-dimensional object",
"word": "deksesĉelo"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"feminine"
],
"word": "16-cella"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "4-ortoplesso"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "ipertetraedro"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "esadecacoro"
},
{
"alt": "せいじゅうろくほうたい",
"code": "ja",
"lang": "Japanese",
"roman": "seijūrokuhōtai",
"sense": "four-dimensional object",
"word": "正十六胞体"
},
{
"code": "ru",
"lang": "Russian",
"roman": "šestnadcatijačejnik",
"sense": "four-dimensional object",
"word": "шестнадцатиячейник"
}
],
"wikipedia": [
"16-cell"
]
}
],
"sounds": [
{
"ipa": "/sɪksˈtiːnˌsɛl/"
},
{
"audio": "en-us-16-cell.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/b/b1/En-us-16-cell.ogg/En-us-16-cell.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/b/b1/En-us-16-cell.ogg"
}
],
"word": "16-cell"
}
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "16",
"3": "cell"
},
"expansion": "16 + cell",
"name": "compound"
}
],
"etymology_text": "From 16 + cell.",
"forms": [
{
"form": "16-cells",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "16-cell (plural 16-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 Italian translations",
"Terms with Japanese translations",
"Terms with Russian 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, editor, Kaleidoscopes: Selected Writings of H.S.M. Coxeter, page 32:",
"text": "The remaining 8, as before, are the vertices of the complementary 16-cell (see Figure 9). In Figure 7, these 8 points have been blackened, but not joined, because the 16-cell has longer edges; diameters of octahedral facets of the 24-cell.",
"type": "quote"
},
{
"ref": "2002, Gabor Toth, Glimpses of Algebra and Geometry, 2nd edition, page 385:",
"text": "This polytope has 16 tetrahedral cells, and for this reason it is called the 16-cell.[…]The 16-cell has 24 edges that are the diagonals of the 24 square faces of the hypercube. (Since we are selecting alternate vertices of the hypercube, we only get one diagonal for each square face.)",
"type": "quote"
},
{
"ref": "2012, John Barnes, Gems of Geometry, 2nd edition, page 76:",
"text": "We will now consider the dual 16-cell. In some ways the 16-cell is a bit easier because it has fewer vertices and edges. But on the other hand the hypercube is perhaps easier to understand intuitively because we can readily (perhaps) see the various cubes of which it is composed.",
"type": "quote"
}
],
"glosses": [
"A four-dimensional polytope, analogous to an octahedron, whose sixteen bounding facets are tetrahedra."
],
"links": [
[
"geometry",
"geometry"
],
[
"four-dimensional",
"four-dimensional"
],
[
"polytope",
"polytope"
],
[
"octahedron",
"octahedron"
],
[
"facet",
"facet"
],
[
"tetrahedra",
"tetrahedron"
]
],
"raw_glosses": [
"(geometry) A four-dimensional polytope, analogous to an octahedron, whose sixteen bounding facets are tetrahedra."
],
"topics": [
"geometry",
"mathematics",
"sciences"
],
"wikipedia": [
"16-cell"
]
}
],
"sounds": [
{
"ipa": "/sɪksˈtiːnˌsɛl/"
},
{
"audio": "en-us-16-cell.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/b/b1/En-us-16-cell.ogg/En-us-16-cell.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/b/b1/En-us-16-cell.ogg"
}
],
"synonyms": [
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "4-orthoplex"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "4-demicube"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "4-hemicube"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "demihypercube"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "demitesseract"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "hexadecachoron"
},
{
"sense": "4-dimensional polytope analogous to an octahedron",
"word": "hexadecahedroid"
}
],
"translations": [
{
"code": "eo",
"lang": "Esperanto",
"sense": "four-dimensional object",
"word": "deksesĉelo"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"feminine"
],
"word": "16-cella"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "4-ortoplesso"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "ipertetraedro"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "esadecacoro"
},
{
"alt": "せいじゅうろくほうたい",
"code": "ja",
"lang": "Japanese",
"roman": "seijūrokuhōtai",
"sense": "four-dimensional object",
"word": "正十六胞体"
},
{
"code": "ru",
"lang": "Russian",
"roman": "šestnadcatijačejnik",
"sense": "four-dimensional object",
"word": "шестнадцатиячейник"
}
],
"word": "16-cell"
}
Download raw JSONL data for 16-cell meaning in English (4.4kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.