Their use of āQR Codeā is mighty confusing. QR (Quick Response) Codes are something specific that people are familiar with. These donāt share any characteristics apart from being images which represent something else. Theyāre not even the same colour or shape. Just call them āknot codesā or something.
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
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 ālooks kinda like a QR Codeā.
I very much doubt you could show one of these to someone, ask them what they are, and that they would answer āQR Codeā. They donāt look alike at all.
Their use of āQR Codeā is mighty confusing. QR (Quick Response) Codes are something specific that people are familiar with. These donāt share any characteristics apart from being images which represent something else. Theyāre not even the same colour or shape. Just call them āknot codesā or something.
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
> 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.
Since they said "the corresponding polynomial", they must mean the mapping between the colored hexagons and the knot polynomials.
> 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 ālooks kinda like a QR Codeā.
I very much doubt you could show one of these to someone, ask them what they are, and that they would answer āQR Codeā. They donāt look alike at all.
Interesting article. I love it when maths gives us some beautiful visuals too.
this was so confusing at first not going to lie
Love them knots! The sudoku of the universe :)
https://en.wikipedia.org/wiki/QR_code#License
Yeah this publication needs a legal teamThis is not a new QR code, nor is it powerful. It's worse in every way and is not really even a code.