3 ms·

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 characteristic

by latexr 6mo 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 6mo 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 6mo 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 6mo 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 6mo ago
    Since they said "the corresponding polynomial", they must mean the mapping between the colored hexagons and the knot polynomials.
- c7b 6mo ago
  > they look kinda like QR codes Hexagonal, with shaded colors? QR Codes are, by definition, square and binary and traditionally use black and white. They're also used for a different purpose typically. They could easily have made them look more like QR Codes if they had wanted to, but they made their own artistic choices. Which I love btw, but they could have maybe chosen better wording. Something like 'fingerprint' or 'mugshot' would have conveyed the idea of it being useful for identification, if not perfect, much better.
jagged-chisel 6mo ago
I think the comparison for the lay person is just fine. The author quoted the term and explains themselves. A QR codes encode data to be scanned and converted for the convenience of the user. These knot graphics encode data to be scanned and converted for the convenience of the user.
- ButlerianJihad 6mo ago
  > data to be scanned and converted These appear to be write-only. Where have they documented the method of scanning and conversion? Is it patented? The publication on arxiv only mentions visual inspection, in the context of being a bad idea.
  - altairprime 6mo ago
    “Is it patented”?
ButlerianJihad 6mo ago
The use of "qR cOdES®" appears to have developed from a previous system of colored "bar codes" algorithmically generated from the same types of invariant knots, but with less resolution. I suppose the "BAR coding" could be visually interpreted like resistor values in assembling or diagnosing circuit boards. However, what they're doing is art. They are algorithmically generating beautiful artwork that can be admired for its colors, labyrinthine complexity, near-symmetry, shapes and analogy to real-world or theoretical knots. https://en.wikipedia.org/wiki/Celtic_knot https://en.wikipedia.org/wiki/Celtic_knot https://en.wikipedia.org/wiki/Tartan#Legal_protection https://en.wikipedia.org/wiki/Tartan#Legal_protection https://en.wikipedia.org/wiki/Fractal_art https://en.wikipedia.org/wiki/Fractal_art https://en.wikipedia.org/wiki/Moir%C3%A9_pattern https://en.wikipedia.org/wiki/Moir%C3%A9_pattern They have not proposed any way of scanning or processing the art back into data, and in fact they point out that printing, display, visual inspection or comparison may not produce mathematically accurate results, so this is representational art that they can emblazon on their mugs, sugar cookies, tee shirts, and sell on Etsy. https://en.wikipedia.org/wiki/Psychedelic_art https://en.wikipedia.org/wiki/Psychedelic_art In fact Dr. Bar-Natan has done a lot of work in perceptual art that looks like another thing: https://www.math.toronto.edu/drorbn/papers/PDI/ https://www.math.toronto.edu/drorbn/papers/PDI/ But he calls it "PDI" and not "Magic Eye™" The fault of naming "qr codez®" doesn't rest solely on the latest researchers, but they are "standing on the shoulders of giants" who generated "bar c0des", which may have started with some colored pencils, a cocktail napkin, and 3 pints in a pub. The text QR Code® itself is a registered trademark and wordmark of Denso Wave Incorporated.

by latexr 6mo ago

somethingsome 6mo 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 6mo 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 6mo 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 6mo ago
  Since they said "the corresponding polynomial", they must mean the mapping between the colored hexagons and the knot polynomials.
c7b 6mo ago
> they look kinda like QR codes Hexagonal, with shaded colors? QR Codes are, by definition, square and binary and traditionally use black and white. They're also used for a different purpose typically. They could easily have made them look more like QR Codes if they had wanted to, but they made their own artistic choices. Which I love btw, but they could have maybe chosen better wording. Something like 'fingerprint' or 'mugshot' would have conveyed the idea of it being useful for identification, if not perfect, much better.

jagged-chisel 6mo ago

I think the comparison for the lay person is just fine. The author quoted the term and explains themselves. A QR codes encode data to be scanned and converted for the convenience of the user. These knot graphics encode data to be scanned and converted for the convenience of the user.

ButlerianJihad 6mo ago
> data to be scanned and converted These appear to be write-only. Where have they documented the method of scanning and conversion? Is it patented? The publication on arxiv only mentions visual inspection, in the context of being a bad idea.
- altairprime 6mo ago
  “Is it patented”?

ButlerianJihad 6mo ago

The use of "qR cOdES®" appears to have developed from a previous system of colored "bar codes" algorithmically generated from the same types of invariant knots, but with less resolution. I suppose the "BAR coding" could be visually interpreted like resistor values in assembling or diagnosing circuit boards. However, what they're doing is art. They are algorithmically generating beautiful artwork that can be admired for its colors, labyrinthine complexity, near-symmetry, shapes and analogy to real-world or theoretical knots. https://en.wikipedia.org/wiki/Celtic_knot https://en.wikipedia.org/wiki/Celtic_knot https://en.wikipedia.org/wiki/Tartan#Legal_protection https://en.wikipedia.org/wiki/Tartan#Legal_protection https://en.wikipedia.org/wiki/Fractal_art https://en.wikipedia.org/wiki/Fractal_art https://en.wikipedia.org/wiki/Moir%C3%A9_pattern https://en.wikipedia.org/wiki/Moir%C3%A9_pattern They have not proposed any way of scanning or processing the art back into data, and in fact they point out that printing, display, visual inspection or comparison may not produce mathematically accurate results, so this is representational art that they can emblazon on their mugs, sugar cookies, tee shirts, and sell on Etsy. https://en.wikipedia.org/wiki/Psychedelic_art https://en.wikipedia.org/wiki/Psychedelic_art In fact Dr. Bar-Natan has done a lot of work in perceptual art that looks like another thing: https://www.math.toronto.edu/drorbn/papers/PDI/ https://www.math.toronto.edu/drorbn/papers/PDI/ But he calls it "PDI" and not "Magic Eye™" The fault of naming "qr codez®" doesn't rest solely on the latest researchers, but they are "standing on the shoulders of giants" who generated "bar c0des", which may have started with some colored pencils, a cocktail napkin, and 3 pints in a pub. The text QR Code® itself is a registered trademark and wordmark of Denso Wave Incorporated.