Found this by chance the other day: The Sacks Spiral, an interesting variant of the Ulam spiral.
sources:
https://naturalnumbers.org/sparticle.html
https://math.osu.edu/sites/math.osu.edu/files/EulerPrimeGeneratingPolynomial.pdf
Euler's Prime Formula is the n^2 + n + 41 curve.
As the last constant term becomes at increasing large prime number, I suspect the proportion of prime numbers in the curve asymptotically approaches 1.
It can figure out boobs, but not suspenders. Clearly this requires more research.
My Zoom call worked fine, but I was unable to open other websites and got an error message that I was offline even though the Wi-Fi icon in the lower right indicated I was connected.
Spirals are found throughout the nature at all scales:
Made by a friend with an AI image modeler.
"Come with me if you want Jack Links."
The reason why AI struggles to create images of hands is because it cannot understand the three-dimensional nature of hands from two-dimensional input. To overcome this, AI needs to be paired with a 3D printer so it can get proper feedback. A human can determine which output hands are best, and that in turn can be used to improve the algorithm and training data.
Hands are complicated, and even artists struggle to draw them. This is the reason cartoon characters often wear gloves.
AI is basically the same as a room full of monkeys and typewriters eventually producing Shakespeare. There is a funny clip from The Simpsons along those lines:
https://www.youtube.com/watch?v=loMEF18Ir4s
Interestingly enough, this experiment was tried in real life on a small scale. It resulted in several damaged keyboards and several pages consisting entirely of the letter s.
Today's computers are descended from the code-breaking machines of WW2. Those too could be described as a room full of monkeys and typewriters.
The process of using a room full of monkeys and typewriters to create something sensible is better known as a brute force search. For example, if you are trying to guess a 4-digit passcode, there are 10,000 possible combinations (10 x 10 x 10 x 10 = 10^4). This can be narrowed down in various ways given that some passcodes are more popular than others.
The computing power of a typical smartphone could guess all 10,000 passcodes in much less than a second. Thus, devices which are accessed by other devices need much longer "passcodes" to be secure. Today, that process is called RSA and relies on the fact that as of today there is no efficient way to factorize (find the prime factors) very large semiprime numbers (numbers with only two prime factors). That could change in the future.
To make another analogy, there has always been an arms race of better locks and lock-pickers. In the same way, there has been a race between better codes and better codebreakers.
Watch this video on mute while playing any song simultaneously in another tab. It will appear to synchronize.
https://www.youtube.com/watch?v=Ey-W3xwNJU8
Rihanna's Diamonds syncs up rather well, as does Only Love Can Hurt Like This.
Art, music, nature, and math are all different forms of the same thing.
A destroyed US Abrams main battle tank displayed near Moscow:
"Don't be too proud of this technological terror you've constructed."
-Darth Vader, military commander and philosopher
