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- Boys_surface abstract "In geometry, Boy's surface is an immersion of the real projective plane in 3-dimensional space found by Werner Boy in 1901 (he discovered it on assignment from David Hilbert to prove that the projective plane could not be immersed in 3-space). Unlike the Roman surface and the cross-cap, it has no singularities (i.e., pinch-points), but it does self-intersect.Boy's surface is discussed (and illustrated) in Jean-Pierre Petit's Le Topologicon.Boy's surface was first parametrized explicitly by Bernard Morin in 1978. See below for another parametrization, discovered by Rob Kusner and Robert Bryant. Boy's surface is one of the two possible immersions of the real projective plane which have only a single triple point.".
- Boys_surface thumbnail Boy_Surface-animation-small.gif?width=300.
- Boys_surface wikiPageExternalLink 1303.6448.
- Boys_surface wikiPageExternalLink boy.shtml.
- Boys_surface wikiPageExternalLink BoyUnfold.html.
- Boys_surface wikiPageExternalLink boy_jv.html.
- Boys_surface wikiPageExternalLink tiki-index.php?page=Paper%20Boy%27s.
- Boys_surface wikiPageExternalLink Demiralp-2009-CLF.pdf.
- Boys_surface wikiPageExternalLink boys.htm.
- Boys_surface wikiPageExternalLink boy.pdf.
- Boys_surface wikiPageExternalLink boyinboy.jpg.
- Boys_surface wikiPageExternalLink notes.htm.
- Boys_surface wikiPageExternalLink proj.pdf.
- Boys_surface wikiPageExternalLink the-boy-surface-at-oberwolfach.
- Boys_surface wikiPageExternalLink watch?v=9gRx66xKXek.
- Boys_surface wikiPageExternalLink watch?v=dekzCBOlNAc.
- Boys_surface wikiPageID "61361".
- Boys_surface wikiPageLength "10799".
- Boys_surface wikiPageOutDegree "39".
- Boys_surface wikiPageRevisionID "646081682".
- Boys_surface wikiPageWikiLink Boys_surface.
- Boys_surface wikiPageWikiLink Bernard_Morin.
- Boys_surface wikiPageWikiLink Cartesian_coordinate_system.
- Boys_surface wikiPageWikiLink Cartesian_coordinates.
- Boys_surface wikiPageWikiLink Category:Geometric_topology.
- Boys_surface wikiPageWikiLink Category:Surfaces.
- Boys_surface wikiPageWikiLink Complex_conjugate.
- Boys_surface wikiPageWikiLink Congruence_(geometry).
- Boys_surface wikiPageWikiLink Cross-cap.
- Boys_surface wikiPageWikiLink David_Hilbert.
- Boys_surface wikiPageWikiLink End_(topology).
- Boys_surface wikiPageWikiLink Geometry.
- Boys_surface wikiPageWikiLink Half-way_model.
- Boys_surface wikiPageWikiLink Homeomorphism.
- Boys_surface wikiPageWikiLink Immersion_(mathematics).
- Boys_surface wikiPageWikiLink Jean-Pierre_Petit.
- Boys_surface wikiPageWikiLink Magnitude_(mathematics).
- Boys_surface wikiPageWikiLink Mathematical_Research_Institute_of_Oberwolfach.
- Boys_surface wikiPageWikiLink Mercedes-Benz.
- Boys_surface wikiPageWikiLink Minimal_surface.
- Boys_surface wikiPageWikiLink Minimax_eversion.
- Boys_surface wikiPageWikiLink Morin_surface.
- Boys_surface wikiPageWikiLink Möbius_strip.
- Boys_surface wikiPageWikiLink Perimeter.
- Boys_surface wikiPageWikiLink Pinch_point_(mathematics).
- Boys_surface wikiPageWikiLink Point_(geometry).
- Boys_surface wikiPageWikiLink Polar_coordinate_system.
- Boys_surface wikiPageWikiLink Real_projective_plane.
- Boys_surface wikiPageWikiLink Robert_Bryant_(mathematician).
- Boys_surface wikiPageWikiLink Roman_surface.
- Boys_surface wikiPageWikiLink Rotational_symmetry.
- Boys_surface wikiPageWikiLink Sphere_eversion.
- Boys_surface wikiPageWikiLink Symmetry.
- Boys_surface wikiPageWikiLink Three-dimensional_space.
- Boys_surface wikiPageWikiLink Three-dimensional_space_(mathematics).
- Boys_surface wikiPageWikiLink Unit_disk.
- Boys_surface wikiPageWikiLink Werner_Boy.
- Boys_surface wikiPageWikiLink Willmore_energy.
- Boys_surface wikiPageWikiLink File:Boy_Surface-animation-small.gif.
- Boys_surface wikiPageWikiLink File:Boyflaeche.JPG.
- Boys_surface wikiPageWikiLink File:BoysSurfaceTopView.PNG.
- Boys_surface wikiPageWikiLinkText "Boy's surface".
- Boys_surface wikiPageWikiLinkText "a geometrical notion".
- Boys_surface hasPhotoCollection Boys_surface.
- Boys_surface title "Boy's Surface".
- Boys_surface urlname "BoySurface".
- Boys_surface wikiPageUsesTemplate Template:Citation.
- Boys_surface wikiPageUsesTemplate Template:Commons.
- Boys_surface wikiPageUsesTemplate Template:Further_information.
- Boys_surface wikiPageUsesTemplate Template:Harv.
- Boys_surface wikiPageUsesTemplate Template:Mathworld.
- Boys_surface wikiPageUsesTemplate Template:Reflist.
- Boys_surface subject Category:Geometric_topology.
- Boys_surface subject Category:Surfaces.
- Boys_surface hypernym Immersion.
- Boys_surface type School.
- Boys_surface comment "In geometry, Boy's surface is an immersion of the real projective plane in 3-dimensional space found by Werner Boy in 1901 (he discovered it on assignment from David Hilbert to prove that the projective plane could not be immersed in 3-space).".
- Boys_surface label "Boy's surface".
- Boys_surface sameAs Boys_surface.
- Boys_surface sameAs Boysche_Fläche.
- Boys_surface sameAs Surface_de_Boy.
- Boys_surface sameAs Superficie_di_Boy.
- Boys_surface sameAs ボーイ・サーフェス.
- Boys_surface sameAs m.0gmvz.
- Boys_surface sameAs Boyjeva_ploskev.
- Boys_surface sameAs Q896057.
- Boys_surface sameAs Q896057.
- Boys_surface wasDerivedFrom Boys_surfaceoldid=646081682.
- Boys_surface depiction Boy_Surface-animation-small.gif.
- Boys_surface isPrimaryTopicOf Boys_surface.