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the claim

A circle can be tied into a knot in three dimensions but not in four or more dimensions.

the verdict
INSUFFICIENT LEANING
Recorded sources
2 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that a circle can be tied into a knot in three dimensions but not in four or more dimensions?

Unclear. One mathematics discussion states that a knot in n-dimensional space can be untied in n+1 or more dimensions, which covers the four-or-more-dimensions half of the claim, and a knot-theory thesis treats knots as tied in three dimensions. Neither source addresses whether a circle specifically can be knotted in three dimensions, so the evidence only partially covers the claim.

Verdict: PARTIAL LEAN · 2 sources for, 0 against · Last checked

The private library was unavailable for some searches in this check. Missing library results are not evidence against the claim.

Evidence for · 2
Can a knot be tied in anything other than 3 dimensions?
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Can a knot be tied in anything other than 3 dimensions?. (n.d.). math.stackexchange.com. https://math.stackexchange.com/questions/1944301/can-a-knot-be-tied-in-anything-other-than-3-dimensions

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More for · 1
Global radii of curvature, and the biarc approximation of space curves : in pursuit of ideal knot shapes
2004
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Global radii of curvature, and the biarc approximation of space curves : in pursuit of ideal knot shapes. (2004). doi.org. https://doi.org/10.5075/epfl-thesis-2981

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