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English: Sphere eversion (turning inside out) keeping hexagonal symmetry, the halfway stage (Morin surface, both sides equally privileged), flattened with folds along a regular hexagon, cut out of doubly colored paper (red/green). Eversion is impossible using full rotational symmetry but any 2n-gonal suffices. The depicted part is homeomorphic to a cylinder/collar/bottleneck, to be glued to two spheres opposite oriented. Note the sextuple intersection in the center, double intersections between different colors and fold annihilation at the vertices.
English: Sphere eversion (turning inside out) keeping hexagonal symmetry, the halfway stage (Morin surface, both sides equally privileged), flattened with folds along a regular hexagon, cut out of doubly colored paper (red/green). Eversion is impossible using full rotational symmetry but any 2n-gonal suffices. The depicted part is homeomorphic to a cylinder/collar/bottleneck, to be glued to two spheres opposite oriented. Note the sextuple intersection in the center, double intersections between different colors and fold annihilation at the vertices.
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Author Adamb76

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paper Morin surface (sphere eversion halfway) with hexagonal symmetry

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5 December 2019

0.03333333333333333333 second

10.4 millimetre

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current09:02, 11 December 2019Thumbnail for version as of 09:02, 11 December 20193,533 × 3,052 (1.45 MB)Adamb76User created page with UploadWizard

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