See pentachoron on Wiktionary
Download JSON data for pentachoron meaning in All languages combined (4.8kB)
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"2": "penta",
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},
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{
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"4": "",
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},
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"name": "uder"
}
],
"etymology_text": "penta- (“five”) + -choron (“room”), from Ancient Greek πέντε (pénte, “five”) and χώρος (khṓros, “room”).",
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"examples": [
{
"ref": "2008, George Musser, The Complete Idiot's Guide to String Theory, page 174",
"text": "A triangle becomes a tetrahedron (a type of pyramid), then a pentachoron (a hyperpyramid).",
"type": "quotation"
},
{
"ref": "2008, Prabhakar Gupta et al., Design and Analysis of Algorithms, page 356",
"text": "Geometrically, K₃ relates to a triangle, K₄ a tetrahedron, K₅ a pentachoron, etc.",
"type": "quotation"
},
{
"ref": "2013, Caspar Henderson, The Book of Barely Imagined Beings, page 7",
"text": "The tetrahedron is a 3-simplex whose 4-simplex analog is the pentachoron, a four-dimensional body which can be orphographically projected onto a quincrux (as well as a pentagram and other shapes).",
"type": "quotation"
}
],
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"A four-dimensional object analogous to a tetrahedron, constructed out of five tetrahedra."
],
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{
"word": "polychoron"
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],
"id": "en-pentachoron-en-noun-Xfgr9a4j",
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"(mathematics) A four-dimensional object analogous to a tetrahedron, constructed out of five tetrahedra."
],
"synonyms": [
{
"word": "5-cell"
}
],
"topics": [
"mathematics",
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],
"translations": [
{
"code": "eo",
"lang": "Esperanto",
"sense": "four-dimensional object",
"word": "kvinĉelo"
},
{
"code": "fr",
"lang": "French",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "pentachore"
},
{
"code": "fr",
"lang": "French",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "pentatope"
},
{
"code": "de",
"lang": "German",
"sense": "four-dimensional object",
"tags": [
"neuter"
],
"word": "Pentachoron"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "ipertetraedro"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "pentacoro"
},
{
"alt": "せいごほうたい",
"code": "ja",
"lang": "Japanese",
"roman": "seigohōtai",
"sense": "four-dimensional object",
"word": "正五胞体"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "pentácoro"
},
{
"code": "es",
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"sense": "four-dimensional object",
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"masculine"
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"word": "pentácoro"
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{
"code": "es",
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{
"code": "es",
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"sense": "four-dimensional object",
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"word": "pentatopo"
}
],
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]
}
],
"word": "pentachoron"
}
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],
"etymology_text": "penta- (“five”) + -choron (“room”), from Ancient Greek πέντε (pénte, “five”) and χώρος (khṓros, “room”).",
"forms": [
{
"form": "pentachorons",
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]
},
{
"form": "pentachora",
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"plural"
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{
"word": "polychoron"
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],
"lang": "English",
"lang_code": "en",
"pos": "noun",
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{
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"examples": [
{
"ref": "2008, George Musser, The Complete Idiot's Guide to String Theory, page 174",
"text": "A triangle becomes a tetrahedron (a type of pyramid), then a pentachoron (a hyperpyramid).",
"type": "quotation"
},
{
"ref": "2008, Prabhakar Gupta et al., Design and Analysis of Algorithms, page 356",
"text": "Geometrically, K₃ relates to a triangle, K₄ a tetrahedron, K₅ a pentachoron, etc.",
"type": "quotation"
},
{
"ref": "2013, Caspar Henderson, The Book of Barely Imagined Beings, page 7",
"text": "The tetrahedron is a 3-simplex whose 4-simplex analog is the pentachoron, a four-dimensional body which can be orphographically projected onto a quincrux (as well as a pentagram and other shapes).",
"type": "quotation"
}
],
"glosses": [
"A four-dimensional object analogous to a tetrahedron, constructed out of five tetrahedra."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"four-dimensional",
"four-dimensional"
],
[
"tetrahedron",
"tetrahedron"
]
],
"raw_glosses": [
"(mathematics) A four-dimensional object analogous to a tetrahedron, constructed out of five tetrahedra."
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"5-cell"
]
}
],
"synonyms": [
{
"word": "5-cell"
}
],
"translations": [
{
"code": "eo",
"lang": "Esperanto",
"sense": "four-dimensional object",
"word": "kvinĉelo"
},
{
"code": "fr",
"lang": "French",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "pentachore"
},
{
"code": "fr",
"lang": "French",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "pentatope"
},
{
"code": "de",
"lang": "German",
"sense": "four-dimensional object",
"tags": [
"neuter"
],
"word": "Pentachoron"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "ipertetraedro"
},
{
"code": "it",
"lang": "Italian",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "pentacoro"
},
{
"alt": "せいごほうたい",
"code": "ja",
"lang": "Japanese",
"roman": "seigohōtai",
"sense": "four-dimensional object",
"word": "正五胞体"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "pentácoro"
},
{
"code": "es",
"lang": "Spanish",
"sense": "four-dimensional object",
"tags": [
"masculine"
],
"word": "pentácoro"
},
{
"code": "es",
"lang": "Spanish",
"sense": "four-dimensional object",
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"word": "pentácoron"
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{
"code": "es",
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"sense": "four-dimensional object",
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"word": "pentatopo"
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],
"word": "pentachoron"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.