<div class="csl-bib-body">
<div class="csl-entry">Stachel, H. (2022). Plücker’s Conoid Revisited. <i>G. Slovenský Časopis Pre Geometriu a Grafiku</i>, <i>19</i>(38), 21–34.</div>
</div>
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dc.identifier.issn
1336-524X
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/190401
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dc.description.abstract
Plücker’s conoid (cylindroid) C is a ruledvsurface of degree three with a finite double line. This surface plays a major role in the geometric literature since all its pedal curves are planar. It is the locus of pairs of skew lines for which a given orthogonal hyperbolic paraboloid is the bisector. In spatial kinematics, C is the locus of instantaneous screw axes of the relative motion for two rotating wheels with fixed skew axes. Finally, four concyclic generators of C are common tangents of infinitely many spheres, and we study their enveloping canal surface.
en
dc.language.iso
en
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dc.publisher
Slovenská technická univerzita v Bratislave
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dc.relation.ispartof
G. Slovenský časopis pre geometriu a grafiku
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dc.subject
Plücker’s conoid
en
dc.subject
cylindroid
en
dc.subject
bisector
en
dc.subject
one-sheeted hyperboloid of revolution
en
dc.subject
orthogonal hyperbolic paraboloid
en
dc.title
Plücker's Conoid Revisited
en
dc.type
Article
en
dc.type
Artikel
de
dc.description.startpage
21
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dc.description.endpage
34
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dc.type.category
Original Research Article
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tuw.container.volume
19
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tuw.container.issue
38
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tuw.peerreviewed
false
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tuw.researchTopic.id
C1
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tuw.researchTopic.name
Computational Materials Science
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tuw.researchTopic.value
100
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dcterms.isPartOf.title
G. Slovenský časopis pre geometriu a grafiku
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tuw.publication.orgunit
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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dc.description.numberOfPages
14
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tuw.author.orcid
0000-0001-5300-4978
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wb.sciencebranch
Informatik
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1020
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
5
-
wb.sciencebranch.value
95
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item.languageiso639-1
en
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item.openairetype
research article
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item.grantfulltext
restricted
-
item.fulltext
no Fulltext
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
