File:Eversion flat.jpg

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Description
English: Central part of sphere eversion (turning inside out) process flattened with folds along a square, cut out of doubly colored paper (red/green). The depicted part is homeomorphic to a cylinder/collar/bottleneck, to be glued to two spheres opposite oriented. The middle stage is the Morin surface, with both sides equally privileged. The left stage can be easily unfolded to a green (outer side) sphere, the right - red. The middle stage has removed four flat triangles to see the folds underneath, the triangles can be shifted above of beneath the surface to proceed to the left/right. Note the quadruple intersection in the center, double intersections along diagonals and fold annihilation at the vertices of the inner square (midpoints of sides of the outer square).
English: Central part of sphere eversion (turning inside out) process flattened with folds along a square, cut out of doubly colored paper (red/green). The depicted part is homeomorphic to a cylinder/collar/bottleneck, to be glued to two spheres opposite oriented. The middle stage is the Morin surface, with both sides equally privileged. The left stage can be easily unfolded to a green (outer side) sphere, the right - red. The middle stage has removed four flat triangles to see the folds underneath, the triangles can be shifted above of beneath the surface to proceed to the left/right. Note the quadruple intersection in the center, double intersections along diagonals and fold annihilation at the vertices of the inner square (midpoints of sides of the outer square).
Date
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Author Adamb76

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paper sphere eversion and Morin surface

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6 December 2019

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Date/TimeThumbnailDimensionsUserComment
current09:02, 11 December 2019Thumbnail for version as of 09:02, 11 December 20194,503 × 1,793 (1,023 KB)Adamb76User created page with UploadWizard
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