Sphere Eversion

Re:Sphere Eversion by heavenlyblue on Saturday July 04, 2020 @05:18AM (#23731163)

Doesn’t the sphere intersect itself while this operation is performed?

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Re:Sphere Eversion by scatters on Saturday July 04, 2020 @05:24AM (#23731183)

Obviously it has to pass through itself. The interesting thing is that it is possible to evert it without pinching or creasing.

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Re:Sphere Eversion by pja on Saturday July 04, 2020 @06:06AM (#23731321)

Yes, that’s why you can’t do it in 3 dimensions (without self-intersection) - if you have an extra dimension to hand you can invert the sphere using the extra dimension to avoid self-intersection I believe.

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Re:Sphere Eversion by cevn on Saturday July 04, 2020 @01:24PM (#23733632)

Thanks, this confused me greatly watching the graphics, I'm no mathematician... OK if we can just push the sphere through itself then yeah I guess you can invert it...

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Re:Sphere Eversion by caconym_ on Saturday July 04, 2020 @02:30PM (#23734033)

Can you do the same with a circle?

(In case you didn't read the article carefully—no, you can't, and that's why this is interesting.)

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