do you know an example of a knotted sphere in 4-space ?

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do you know an example of a knotted sphere in 4-space ?

2006-12-26 12:36:39 · 2 answers · asked by Mohamed A 1 in Science & Mathematics ➔ Mathematics

2 answers

Yes, i do. glad someone else is taking knot theory, although I took this course..hmmm i dont want to say how long ago. a 2 twist spun trefoil is an example of a knotted sphere in 4 S. i have included the reference below if you require mathematical proof or are unfamiliar with this particular structure! i can think of others but this is a novel structure.

2006-12-26 13:28:48 · answer #1 · answered by Anonymous · 0⤊ 1⤋

See the attached image of a knotted sphere in 4D space.

2006-12-26 13:12:40 · answer #2 · answered by Puzzling 7 · 2⤊ 0⤋