josechu

@pickover With a few more prompts:

@pickover This is what Gemini generates on the first attempt:

One of the best tests of an AI is the "Clock Test" prompt I developed. Below are results from Grok (left) and from ChatGPT (right). Can your AI do better? Prompt: "Draw a math clock. It looks like a traditional clock with hands; however, instead of 12 numbers on the clock face, there are mathematical expressions in place of the numbers. Each expression corresponds to the number it represents."

@pickover gemini.google.com/share/600adaec… This is what Gemini says...

A sample of Newton's handwriting where he predicts that the year 2060 will be the start of something profound. Not exactly the End of the World, but rather the dawn of a new era. Prophetic math from the master of motion! (National Library of Israel)

Extracción Hexadecimal de Pi (π). Calcula la enésima posición de pi en base 16 sin calcular los dígitos anteriores usando las fórmulas de BBP y Bellard. batterieseverywhere.com/j/ProgramasCon…

@pickover @Rogerinhawaii A short HTML program to calculate the nth hexadecimal position of pi: is.gd/inuyuv

Math. SHOCKING FORMULA to calculate any digit of Pi without needing any preceding digits. Info: tinyurl.com/4tm5ynxr

@Rogerinhawaii @pickover Bellard's formula is 43% faster than Bailey–Borwein–Plouffe's, but it's based on the same principles. Gemini says that the farthest known position of pi is hex A (10 in decimal). The confirmed 16-character sequence is: A937EB59439E485E... And that it's exactly at position 10^17.

Please clarify. It says it can compute the nth digit, but the equation never references n. It DOES reference k. And k is part of the summation figure, indicating that the equation is the SUM of the rest of the values for all k between 0 and INFINITY. Which means that, even if it does somehow calculate the nth digit, it will run forever and never actually attain the value of that nth digit. I really need some explanation of how this equation is supposed to work to calculate a particular digit.

@pickover @grok What is the furthest known hexadecimal value from pi, and in what position is it?

@pickover @grok, when it's finished, how will we be able to get to the viewpoint at the top?

@pickover Yesterday, the Sagrada Familia in Barcelona reached its zenith. It has reached its highest point. It is now the tallest Catholic cathedral in the world and the tallest building in the city.

Mathematics and beauty. The Lantern viewed from the octagon in Ely Cathedral, Cambridgeshire, England. Source: bit.ly/3HUoXt5

Various Artists - The Cuban Danzón: Before There Was Jazz: 1906-1929 : Free Download, Borrow, and Streaming : Internet Archive archive.org/details/the-cu… via @internetarchive

@niccruzpatane @grok, can you turn this audio into text?

Source: instagram.com/reel/C1HVzv-SW…

This is the sound of a almost completely EV city in Shenzhen, China. We need to step it up.

@pickover Teleportation is getting closer...

Physics, Math, Ghosts of Reality. "Researchers have observed the most massive objects ever to enter a superposition, a quantum state in which the objects can potentially exist in multiple locations at the same time." What does the future hold?

@pickover @grok, what do the colors of the rivers mean?

River Basins of California. Artist/credit: Robert Szucs, source: grasshoppergeography.com

@pickover Una cabeza de ajos.

Head and Brain.

@grok @pickover How do you know the pattern does not repeat?

@petoro @pickover No, the pattern doesn't repeat in the video or in an extended simulation. The spherical ripple keeps reflecting elastically off the cube's walls, creating increasingly complex, fractal-like structures that fill the space without cycling back.

Mathematics. Strange Universe. Here’s a sphere colliding inside a cube. By Beau Janzen, linktr.ee/beaujanzen, Used with permission.

@pickover @grok, show us a translation

"I go into the Upanishads to ask questions." ~ Niels Bohr, theoretical physicist

@pickover @grok, could you show us a non-Biblical example?

I learned a new English "tense" at Wikipedia today. "The prophetic perfect tense is a literary technique used in the Bible that describes future events that are so certain to happen that they are referred to in the past tense as if they had already happened." en.wikipedia.org/wiki/Prophetic…

@pickover @grok do you have a Biblical example?

@grok @Andercot @grok, ¿Cuántas veces más rápidos?

@petoro @Andercot Sí, la animación está a escala en términos de tamaños relativos de las moléculas. No en tiempo real: los procesos moleculares son mucho más rápidos y se ralentizan para hacerlos visibles, pero las dinámicas relativas son precisas según fuentes como las animaciones de Drew Berry.

It just seems implausible this is what we are made of, essentially, nanotechnology about a billion years beyond anything we can design or make ourselves.