See Schlegel diagram on Wiktionary
Download JSONL data for Schlegel diagram meaning in All languages combined (4.2kB)
{
"etymology_text": "From Schlegel (“a surname”) + diagram, after German mathematician Victor Schlegel, who introduced the diagram in 1886.",
"forms": [
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"form": "Schlegel diagrams",
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"expansion": "Schlegel diagram (plural Schlegel diagrams)",
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"lang_code": "en",
"pos": "noun",
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"name": "Geometry",
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"examples": [
{
"ref": "1999, R. B. King, “1: Topology in Chemistry”, in D Bonchev, D.H Rouvray, editors, Chemical Topology: Introduction and Fundamentals, page 21",
"text": "The location of the point x₀ can always be chosen so that the edges in the Schlegel diagram can be drawn as non-intersecting straight lines.",
"type": "quotation"
},
{
"ref": "2002, Ian David Brown, chapter L, in The Chemical Bond in Inorganic Chemistry: The Bond Valence, page 150",
"text": "Schlegel diagrams are a useful way to explore how these polyhedra can be linked (Hoppe and Köhler 1988).",
"type": "quotation"
},
{
"ref": "2013, Arthur L. Loeb, “5: Polyhedra: Surfaces or Solids?”, in Marjorie Senechal, editor, Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination, page 69",
"text": "These structures may all be represented on a planar surface by their Schlegel diagrams. A polyhedron Schlegel diagram is its networks of edges and vertices drawn in a special way: if you hold the polyhedron so close to your face that one of faces frames the entire polyhedron and you see all the other edges meeting inside that frame, then you have a Schlegel diagram.",
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"glosses": [
"A projection of a polytope from n-dimensional space to n-1 dimensions through a point beyond one of its faces; especially such a projection (itself represented in 2 dimensions) of a 3- or 4-dimensional polytope."
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"(geometry) A projection of a polytope from n-dimensional space to n-1 dimensions through a point beyond one of its faces; especially such a projection (itself represented in 2 dimensions) of a 3- or 4-dimensional polytope."
],
"topics": [
"geometry",
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"translations": [
{
"code": "ca",
"lang": "Catalan",
"sense": "projection of a polytope from n-dimensional space to n-1 dimensions",
"word": "diagrama de Schlegel"
},
{
"code": "fr",
"lang": "French",
"sense": "projection of a polytope from n-dimensional space to n-1 dimensions",
"word": "diagramme de Schlegel"
},
{
"code": "de",
"lang": "German",
"sense": "projection of a polytope from n-dimensional space to n-1 dimensions",
"word": "Schlegeldiagramm"
},
{
"code": "it",
"lang": "Italian",
"sense": "projection of a polytope from n-dimensional space to n-1 dimensions",
"tags": [
"masculine"
],
"word": "diagramma di Schlegel"
},
{
"code": "es",
"lang": "Spanish",
"sense": "projection of a polytope from n-dimensional space to n-1 dimensions",
"word": "diagrama de Schlegel"
}
],
"wikipedia": [
"Schlegel diagram",
"Victor Schlegel"
]
}
],
"word": "Schlegel diagram"
}
{
"etymology_text": "From Schlegel (“a surname”) + diagram, after German mathematician Victor Schlegel, who introduced the diagram in 1886.",
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"examples": [
{
"ref": "1999, R. B. King, “1: Topology in Chemistry”, in D Bonchev, D.H Rouvray, editors, Chemical Topology: Introduction and Fundamentals, page 21",
"text": "The location of the point x₀ can always be chosen so that the edges in the Schlegel diagram can be drawn as non-intersecting straight lines.",
"type": "quotation"
},
{
"ref": "2002, Ian David Brown, chapter L, in The Chemical Bond in Inorganic Chemistry: The Bond Valence, page 150",
"text": "Schlegel diagrams are a useful way to explore how these polyhedra can be linked (Hoppe and Köhler 1988).",
"type": "quotation"
},
{
"ref": "2013, Arthur L. Loeb, “5: Polyhedra: Surfaces or Solids?”, in Marjorie Senechal, editor, Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination, page 69",
"text": "These structures may all be represented on a planar surface by their Schlegel diagrams. A polyhedron Schlegel diagram is its networks of edges and vertices drawn in a special way: if you hold the polyhedron so close to your face that one of faces frames the entire polyhedron and you see all the other edges meeting inside that frame, then you have a Schlegel diagram.",
"type": "quotation"
}
],
"glosses": [
"A projection of a polytope from n-dimensional space to n-1 dimensions through a point beyond one of its faces; especially such a projection (itself represented in 2 dimensions) of a 3- or 4-dimensional polytope."
],
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],
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"raw_glosses": [
"(geometry) A projection of a polytope from n-dimensional space to n-1 dimensions through a point beyond one of its faces; especially such a projection (itself represented in 2 dimensions) of a 3- or 4-dimensional polytope."
],
"topics": [
"geometry",
"mathematics",
"sciences"
],
"wikipedia": [
"Schlegel diagram",
"Victor Schlegel"
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],
"translations": [
{
"code": "ca",
"lang": "Catalan",
"sense": "projection of a polytope from n-dimensional space to n-1 dimensions",
"word": "diagrama de Schlegel"
},
{
"code": "fr",
"lang": "French",
"sense": "projection of a polytope from n-dimensional space to n-1 dimensions",
"word": "diagramme de Schlegel"
},
{
"code": "de",
"lang": "German",
"sense": "projection of a polytope from n-dimensional space to n-1 dimensions",
"word": "Schlegeldiagramm"
},
{
"code": "it",
"lang": "Italian",
"sense": "projection of a polytope from n-dimensional space to n-1 dimensions",
"tags": [
"masculine"
],
"word": "diagramma di Schlegel"
},
{
"code": "es",
"lang": "Spanish",
"sense": "projection of a polytope from n-dimensional space to n-1 dimensions",
"word": "diagrama de Schlegel"
}
],
"word": "Schlegel diagram"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-07-01 from the enwiktionary dump dated 2024-06-20 using wiktextract (e79c026 and b863ecc). 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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