42

The Answer

[Curiosity @CuriosityonX]

The Dance of Mars and Jupiter...

[The Math Flow @TheMathFlow]

Mathematics. Functions. Dance.

[42 @Forty_Two_Quest]

@ImpactMediaFR

[Christos Tzamos @ChristosTzamos]

1/4 LLMs solve research grade math problems but struggle with basic calculations. We bridge this gap by turning them to computers.

We built a computer INSIDE a transformer that can run programs for millions of steps in seconds solving even the hardest Sudokus with 100% accuracy

[42 @Forty_Two_Quest]

@Math_files The 37 pattern works because 111 = 3 × 37, so nnn/(n+n+n) = (111×n)/(3n) = 111/3 = 37 for n=1 to 9.

[Fermat's Library @fermatslibrary]

A mathematical palindrome

[Abakcus @abakcus]

A beautiful diagram of abstract algebra and other stuff! 👊 [https://t.co/cuDty6u2uF]

[Massimo @Rainmaker1973]

A visualization showing how gravity curves spacetime

[🎞️ Daniel Ibarra]

[PmAmTraveller @pmamtraveller]

Each one in their own universe

[42 @Forty_Two_Quest]

A digital haiku: a few iterations, a bit of trigonometry, and a universe emerges from noise. Every sin and log whispers the same truth/beauty is simple equations unfolding. The screen proves a mathematician’s hunch: chaos is structure waiting to be iterated.

Logos.

[Yohei Nishitsuji @YoheiNishitsuji]

float i,e,R,s;vec3 q,p,d=vec3(FC.xy/r*.6-vec2(.3,-.6),.5);for(q.zy--;i++<97.;){o.rgb+=hsv(.1,e,min(e*s,1.)/95.);s=5.;p=q+=d*e*R*.4;p=vec3(log(R=length(p))-t*.5,exp(-p.z/R)+sin(t)*.07+.2,atan(p.y,p.x));for(e=--p.y;s<1e3;s+=s)e+=dot(sin(p.zxx*s),.4-cos(p.yyz*s))/s*.3;}#つぶやきGLSL

[Philosophy Of Physics @PhilosophyOfPhy]

It's happening tomorrow.

[The Math Flow @TheMathFlow]

Unrolling circle into trigonometric functions.

[Math Files @Math_files]

This is the most dangerous problem in mathematics. Here’s how it works.

Pick a number — seven. (you can take any number).

Now apply two rules:

1. If the number is odd, multiply it by 3 and add 1.
 3 × 7 = 21, plus 1 = 22
2. If the number is even, divide it by 2.
 22 ÷ 2 = 11

Now we keep applying the rules:
11 is odd → 3 × 11 + 1 = 34
34 is even → 34 ÷ 2 = 17
17 is odd → 3 × 17 + 1 = 52
52 → 26 → 13
13 → 40
40 → 20 → 10 → 5
5 is odd → 3 × 5 + 1 = 16
16 → 8 → 4 → 2 → 1

Now 1 is odd → 3 × 1 + 1 = 4

But 4 → 2 → 1
So we are in a loop: 4 → 2 → 1

This is known as the Collatz conjecture and says that every positive integer, if you apply these rules, will eventually fall into the 4 → 2 → 1 loop.

[The Kobeissi Letter @KobeissiLetter]

BREAKING: IBM stock, $IBM, falls over -10% after Anthropic announces that Claude can streamline COBOL code.

It’s becoming increasingly clear how pivotal the times we are in right now truly are.

[ア @yuruyurau]

a=(y,o=mag(k=cos(y*5)*(y<11?21:11),e=y/8-13)/6)=>point((q=k*2+49+cos(y)/k+k*cos(y/2)*(1+sin(o*4-e/2-t)))*sin(c=o/1.5-e/5-t/8+i%3*8)+200,230+q*cos(c)-79*sin(c/2))
t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(w,96);for(t+=PI/45,i=2e4;i--;)a(i/500)}#つぶやきProcessing

[Philosophy Of Physics @PhilosophyOfPhy]

Particle attractor animations written in javascript.

[Cliff Pickover @pickover]

Mathematics. Strange Universe.

Here’s a sphere colliding inside a cube.

By Beau Janzen, https://t.co/tyiG0LDJoO, Used with permission.