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- Morin_surface abstract "The Morin surface is the half-way model of the sphere eversion discovered by Bernard Morin. It features fourfold rotational symmetry.If the original sphere to be everted has its outer surface colored green and its inner surface colored red, then when the sphere is transformed through homotopy into a Morin surface, half of the outwardly visible Morin surface will be green, and half red:File:MorinSurfaceAsSphere'sInsideVersusOutside.PNGHalf of a Morin surface corresponds to the exterior (green) of the sphere to which it is homeomorphic, and the other symmetric half to the interior (red).Then, rotating the surface 90° around its axis of symmetry will exchange its colors, i.e. will exchange the inner-outer polarity of the orientable surface, so that retracing the steps of the homotopy at exactly the same position back to the original sphere after having so rotated the Morin surface will yield a sphere whose outer surface is red and whose inner surface is green: a sphere which has been turned inside out. The following is a summary of the eversion:1. sphere: green outside, red inside... 2. transforms into... 3. Morin surface, 3'. Morin surface rotated 90°...2'. inversely transforms into...1'. sphere: red outside, green inside.".
- Morin_surface thumbnail MorinSurfaceFromTheTop.PNG?width=300.
- Morin_surface wikiPageExternalLink opt2.htm.
- Morin_surface wikiPageExternalLink eversion.html.
- Morin_surface wikiPageID "2070457".
- Morin_surface wikiPageLength "4701".
- Morin_surface wikiPageOutDegree "17".
- Morin_surface wikiPageRevisionID "674242682".
- Morin_surface wikiPageWikiLink Bernard_Morin.
- Morin_surface wikiPageWikiLink Category:Surfaces.
- Morin_surface wikiPageWikiLink File:MorinSurfaceFromTheTop.PNG.
- Morin_surface wikiPageWikiLink Homotopy.
- Morin_surface wikiPageWikiLink Minimax_eversion.
- Morin_surface wikiPageWikiLink Sphere_eversion.
- Morin_surface wikiPageWikiLink Symmetry.
- Morin_surface wikiPageWikiLink Tetrahedron.
- Morin_surface wikiPageWikiLink File:MorinSurfaceAsSpheresInsideVersusOutside.PNG.
- Morin_surface wikiPageWikiLink File:MorinSurfaceCrossView.PNG.
- Morin_surface wikiPageWikiLink File:MorinSurfaceQuarterSection.PNG.
- Morin_surface wikiPageWikiLink File:MorinSurfaceQuarterSectionFlattened.PNG.
- Morin_surface wikiPageWikiLink File:MorinSurfaceQuarterSectionTriangulated.PNG.
- Morin_surface wikiPageWikiLink File:MorinSurfaceQuarterSectionsJoined.PNG.
- Morin_surface wikiPageWikiLink File:MorinSurfaceSectionEast.PNG.
- Morin_surface wikiPageWikiLink File:QuartetOfMorinSurfaces(WithoutPassageBarriers).PNG.
- Morin_surface wikiPageWikiLinkText "Morin surface".
- Morin_surface wikiPageWikiLinkText "Morin's".
- Morin_surface subject Category:Surfaces.
- Morin_surface hypernym Model.
- Morin_surface type Person.
- Morin_surface type Surface.
- Morin_surface comment "The Morin surface is the half-way model of the sphere eversion discovered by Bernard Morin.".
- Morin_surface label "Morin surface".
- Morin_surface sameAs Q6912232.
- Morin_surface sameAs m.06k2nr.
- Morin_surface sameAs Morinova_ploskev.
- Morin_surface sameAs Q6912232.
- Morin_surface wasDerivedFrom Morin_surface?oldid=674242682.
- Morin_surface depiction MorinSurfaceFromTheTop.PNG.
- Morin_surface isPrimaryTopicOf Morin_surface.