This would make a great conspiracy theory - that Mona Lisa was a prime number painted by Leonardo.
Images Created from Prime Numbers
71–80 of 131 posts
Re: Images Created from Prime Numbers
#72Mostly unrelated but this made me check to see if the Prime Number Shitting Bear is still online. It is! https://alpha61.com/primenumbershittingbear/
The classic prime joke (saw it originally in Sci Am back in the ... 70's? 80's?). Found an approximation when I googled it: A mathematician, physicist, and engineer are taking a math test. One question asks "Are all odd numbers prime?" The mathematician thinks, "3 is prime, 5 is prime, 7 is prime, 9 is not prime -- nope, not all odd numbers are prime." The physicist thinks, "3 is prime, 5 is prime, 7 is prime, 9 ...…
Amazon thinks, "music is Prime, video is Prime, pantry is Prime, day is Prime, ..."
Re: Images Created from Prime Numbers
#73Earlier quoted context omitted.
The classic prime joke (saw it originally in Sci Am back in the ... 70's? 80's?). Found an approximation when I googled it: A mathematician, physicist, and engineer are taking a math test. One question asks "Are all odd numbers prime?" The mathematician thinks, "3 is prime, 5 is prime, 7 is prime, 9 is not prime -- nope, not all odd numbers are prime." The physicist thinks, "3 is prime, 5 is prime, 7 is prime, 9 ...…
The version I remember has the mathematician thinking: "3 is prime, 5 is prime, 7 is prime, so by mathematical induction, all odd numbers are prime".
It just occurred to me how strange it is that you can get to some numbers by addition that you cannot get to by multiplying any subset of the earlier sequence. Emotionally, it feels like addition and multiplication are arguing over who's better, and multiplication is like "I'm so fast", and addition is like, "I'm slow but, I can go places you can't".
It'd be cool, if there was a Maker, that they make it so that some very large prime number is a message to all intelligent life capable of computing and deciphering it. This kind of message would penetrate even nested, simulated universes, and could only come from World 0, assuming the properties of numbers are independent of physical constants. Why not have a SETI-in-the-primes project, after all?
Re: Images Created from Prime Numbers
#74This is yet another case where "prime" is bolted onto something for no particular reason to make it superficially more interesting. IMO this confused mathematical understanding. Approximately 1/n of all n-bit pieces of data (including bimaps) are prime.
If you take a binary image, of length n bits, then the probability of some single bit flip producing a prime, is approximately 1 - (1 - 1/ln(2^n))^n ~ 0.76. Allowing 2 bit flips makes finding a prime as good as certain.
Re: Images Created from Prime Numbers
#75How on earth did they verify a 30k long number is prime?!?
Perl's regex engine is really fast, so presumably:
perl -lne '(1x$_) =~ /^1?$|^(11+?)\1+$/ || print "$_ is prime"'Re: Images Created from Prime Numbers
#76This is yet another case where "prime" is bolted onto something for no particular reason to make it superficially more interesting. IMO this confused mathematical understanding. Approximately 1/n of all n-bit pieces of data (including bimaps) are prime.
If you take any binary image, of length n bits, then the probability of some single bit flip producing a prime, is approximately 1 - (1 - 1/ln(2^n))^n ~ 1 - e^{-1 / ln(2)} ~ 0.76.
Re: Images Created from Prime Numbers
#77Earlier quoted context omitted.
That article talks about specious attempt to hack the legal system, by claiming information can never be legally restricted because it can encode numbers, but doesn't say the result of the attempt.
Copyright does make numbers illegal. I think it is less about "hacking" the legal system, and more about demonstrating how nonsensical it is.
Which it doesn't actually do. Whatever you think of copyright law, the nonsense lies in our contradictory intuition that information is "special" and numbers, even large ones, aren't. But beyond about, oh say, 128 bits[1], numbers take on all the properties we expect of "special" information.
I can, for instance, encode a picture of you doing something embarrassing as a very large prime[2] number. Yet my protest of "it's just a prime number, bro!" isn't likely to calm you when I start passing it around to all your friends. Information is information. It's not unreasonable to have rules about the flow of information, however cleverly you've encoded it.
[1] https://qntm.org/number [2] The primality is of course totally irrelevant, but it makes it seem more "mathy"
Re: Images Created from Prime Numbers
#78what if instead we have an approximate representation of an image through a highly composed number? we end up with a number theoretic compression technique.
Re: Images Created from Prime Numbers
#79Earlier quoted context omitted.
Dimensions can always be compressed and uncompressed. Naturals: https://en.wikipedia.org/wiki/Pairing_function Reals: https://en.wikipedia.org/wiki/Space-filling_curve The caveat is that a function, like the evolution of the universe, General Relativity, differential equations, would be possibly unwieldy and unaesthetic when written on lower dimensions, and locality might also be lost. Some techniques try to preserve…
Replying to the dead comment by saschag: Respectfully, your argument just boils down to whether the real numbers actually "exist." And I airquote exist because even that term is loaded. This HN delved into it: https://news.ycombinator.com/item?id=14080024 It really just boils down to the nature of incompressible infinities. You may enjoy this video that explores some of the issues with unresolvable infinities: https:…
what i was pointing at was that these theories are evolutions of hundreds of years old assumptions of 'predestination'.
rooting in ideas of a big absolute clockwork, fortune telling, astrology.
they're making promises that they can not prove without breaking the construct to begin with.
it's a paradox, sci-fi, distraction from any type of wholesome outcome, claiming wholesome beginnings, claiming "more", breaking it to get there, because/thus lie.
the concept is much older than that too. 6000 years or more. it's said that god has a name for every star. implying that there must be an appropriate singular unique identifier, coming from one truthful system, for every thing (that originated from his will).
the idea, however, that a numerical system is any more appropriate than the alphabet or any other abstract symbolical representation to express law (logic), is ridiculous.
it is obvious that people lie nonetheless, under the covers of 'science', making big promises and the only ones to benefit from them are the ones that sell such ideas, even though unproven.
while i believe that there is 'one law', i believe too that it is broken by many and cause for schizms/conflicts and lies.
no one truth will explain (justify) all lies. with the exception that they will be identified as a lie from broken origin but can not justify it's shape.
from that perspective, no 'master constant' will predict your lottery numbers, stock markets, death nor life, because of the volatility of increasing utter bullshit. the only truthful prediction you can make, as time progresses more, is that mankind will undeniably conclude that the liars lie is the root of all evil and many liars made many victims.
Re: Images Created from Prime Numbers
#80Earlier quoted context omitted.
The classic prime joke (saw it originally in Sci Am back in the ... 70's? 80's?). Found an approximation when I googled it: A mathematician, physicist, and engineer are taking a math test. One question asks "Are all odd numbers prime?" The mathematician thinks, "3 is prime, 5 is prime, 7 is prime, 9 is not prime -- nope, not all odd numbers are prime." The physicist thinks, "3 is prime, 5 is prime, 7 is prime, 9 ...…
Amazon thinks, "music is Prime, video is Prime, pantry is Prime, day is Prime, ..."
Optimus is Prime...