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(The orientation is important so we know which term gets an x and which gets a y. It also tells us which way to split the crossing.) Another potential source of nonuniqueness is what about two knots next to each other? For example, what about the trivial 2-link? 4/pic.twitter.com/rzHtQ53AyO
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P is a function from oriented knots and links to the reals. I've written down a property I hope P will have. x, y, and z are unspecified reals. 0 is the number 0. We don't know if there exists a P with that property, or if it's unique. 1/pic.twitter.com/gFJr04pJqC
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HOMFLY.
#knottheory#topology (Does the make sense without further context, or is more explanation needed?)pic.twitter.com/nlpB6pO3X3
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Sounds really cool. For some reason it reminds me of this song from Burkina Faso: https://youtu.be/5e_FYPVsFe4 (not entirely sure why)https://twitter.com/electronicos_h/status/1175061086715793408 …
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Related: if you tie an overhand knot (aka trefoil) into a ribbon, it makes a regular pentagonpic.twitter.com/Bv6R7NvA5n
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Is this like saying a group consists of objects, a group operation, an identity, and an inverse operation (rather than just the first two)?pic.twitter.com/UPEUEK6ISr
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And now for something completely different: https://youtu.be/DFllGx-OYCc which is in 3/4, but it's completely possible to make a 4/4 version of this based on the Ingonyama rhythm, and it would be _totally rad_
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A cool cover of that song, by the way: https://www.youtube.com/watch?v=s_um4Qj4aJA … (by
@samtrobson)Prikaži ovu nit -
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This is much more relevant. (e.g. why does Gauss not consider a proof that relies on "there exist triangles of arbitrarily large area" to be a valid proof of the fifth postulate?)pic.twitter.com/mptK5nYaAg
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Incidentally, he's Gauss's (semirelevant?) thoughts on the metaphysics of mathematics.pic.twitter.com/ntx93LyzjX
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