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latexr 1 hours ago [-]
Their use of “QR Code” is mighty confusing. QR (Quick Response) Codes are something specific that people are familiar with. These don’t share any characteristics apart from being images which represent something else. They’re not even the same colour or shape. Just call them “knot codes” or something.
somethingsome 1 hours ago [-]
I mean... There is a 1-1 mapping, and they look kinda like QR codes. so technically, you can make an app that scan it and it will show you the corresponding polynomial.. It could even be useful for fast checking knots
latexr 58 minutes ago [-]
> mapping
Which I not only mentioned in my comment, it is not even slightly unique to QR codes.
> they look kinda like QR codes
In what way? QR Codes are black and white, square, and asymmetrical. These are colourful, hexagonal, and symmetrical. By that token, a 16th century tile also “looks kinda like a QR Code”.
I very much doubt you could show one of these to someone, ask them what they are, and that they would answer “QR Code”. They don’t look alike at all.
Hendrikto 46 minutes ago [-]
> There is a 1-1 mapping
It is strong, but not 1 to 1:
> Tubbenhauer computed, for instance, that the invariant uniquely identifies more than 97% of the knots with 18 crossings.
MattPalmer1086 2 hours ago [-]
Interesting article. I love it when maths gives us some beautiful visuals too.
graphememes 15 minutes ago [-]
this was so confusing at first not going to lie
larodi 3 hours ago [-]
Love them knots! The sudoku of the universe :)
mfgadv99 7 minutes ago [-]
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charcircuit 2 hours ago [-]
This is not a new QR code, nor is it powerful. It's worse in every way and is not really even a code.
Which I not only mentioned in my comment, it is not even slightly unique to QR codes.
> they look kinda like QR codes
In what way? QR Codes are black and white, square, and asymmetrical. These are colourful, hexagonal, and symmetrical. By that token, a 16th century tile also “looks kinda like a QR Code”.
I very much doubt you could show one of these to someone, ask them what they are, and that they would answer “QR Code”. They don’t look alike at all.
It is strong, but not 1 to 1:
> Tubbenhauer computed, for instance, that the invariant uniquely identifies more than 97% of the knots with 18 crossings.