A Powerful New 'QR Code' Untangles Math's Knottiest Knots

latexr•about 2 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•about 1 hour 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

Hendrikto•about 1 hour 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.

tromp•12 minutes ago

Since they said "the corresponding polynomial", they must mean the mapping between the colored hexagons and the knot polynomials.

latexr•about 1 hour 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.

MattPalmer1086•about 2 hours ago

Interesting article. I love it when maths gives us some beautiful visuals too.

graphememes•33 minutes ago

this was so confusing at first not going to lie

ButlerianJihad•16 minutes ago

https://en.wikipedia.org/wiki/QR_code#License

  The text QR Code itself is a registered trademark and wordmark of Denso Wave Incorporated.[107]

Yeah this publication needs a legal team

larodi•about 3 hours ago

Love them knots! The sudoku of the universe :)

charcircuit•about 3 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.

A Powerful New 'QR Code' Untangles Math's Knottiest Knots

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