So as sin rises to +1, stickiness lags ring_spin and it feels sticky. As sin returns to 0, the ring spins freely. As sin falls to -1, stickiness lags ring_spin and it snaps home.
https://hexword.mubergapps.com
#ilovemath #gamedev #indiedev #mathisbeautiful #sinwave #reactnative #puzzlegame #hexword

My HexWord puzzle uses hex flowers and hex rings. A flower refers to the center hex and its 6 adjacent hexes, while a hex ring is just the 6 adjacent hexes without the center hex.
#ilovemath #gamedev #indiedev #mathisbeautiful #sinwave #reactnative #puzzlegame #hexword

I wanted to bring up my paper on the Seymour Second Neighborhood Conjecture. The #coordinatePlane and proof use a well ordering which used BFS and a minimum counterexample. #maths #math #graphtheory #mathisbeautiful #algorithm alphaxiv.org/abs/2501.00614

The Mirror Universe Is Real: How Dirac Predicted Antimatter What if you could discover a hidden "mirror universe" just by scribbling on a piece of paper? 📝✨ In the late 1920s, physics was stuck. Erwin Schrödinger had a great equation for electrons, but it had a fatal flaw: it fell apart the moment things started moving near the speed of light. Enter Paul Dirac, the silent genius who cared more about mathematical beauty than playing by the rules. In this episode, we unpack the mind-bending story of how Dirac’s quest for the "perfect equation" accidentally broke reality. We explore why he threw out the rulebook to merge Special Relativity with Quantum Mechanics, using strange matrices to linearize energy and momentum. But here’s where it gets spooky. 👻 Dirac’s math worked too well. It predicted something that shouldn’t exist: Negative Energy. Instead of ignoring it, Dirac made the boldest gamble in scientific history. He claimed these "ghosts" were real. He predicted the Positron (the anti-electron)—a particle nobody had ever seen, until Carl Anderson proved him right years later. We’re diving deep into: - 💥 The Clash: Why Schrödinger and Klein-Gordon failed to catch the speeding electron. - 🧮 The Magic Math: How Dirac’s 4-component equation unlocked the secret of Electron Spin. - 🤯 The Discovery: From "negative probability" to the birth of Antimatter. - ❓ The Ultimate Mystery: If matter and antimatter destroy each other, why is our universe still here? (The Matter-Antimatter Asymmetry problem). Whether you're a physics nerd or just love a good underdog story where math reveals the secrets of the cosmos, this episode is for you. We even touch on how Feynman Diagrams later made sense of Dirac’s wild timeline. Tune in to hear how one man’s obsession with beauty revealed the dark side of matter. 👇 Support the Science: Did this episode blow your mind? Hit that SUBSCRIBE button and leave us a 5-Star Review! It helps us solve the algorithm just like Dirac solved the electron. Share this with a friend who needs an existential crisis! 🚀 #PaulDirac #Antimatter #QuantumPhysics #SciencePodcast #DiracEquation #PhysicsHistory #Positron #Cosmos #StemEducation

📣 New Podcast! "The Mirror Universe Is Real: How Dirac Predicted Antimatter" on @Spreaker #antimatter #astrophysics #cosmos #deepdive #educational #feynman #historyofscience #mathisbeautiful #mindblown #mystery #nobelprize #pauldirac #physics #physicslovers #quantummechanics #relativity #stem

Am image of an oriented graph for the Seymour Second Neighborhood Conjecture.

This is one of my first illustrations for the Seymour Second Neighborhood Conjecture #SSNC. It's an oriented graph. I noticed patterns, number of nodes in each neighborhood. #MathIsBeautiful
1->7
2->6
3->5
Second, number of cycles.
1->1
2->2
3->2 (can't have 3)
alphaxiv.org/abs/2501.00614

Top header says "MATH POETRY CONTEST" in blue. Underneath is a shape that looks like a single bird feather with multiple colors.

Math poetry contest for students! International entries are welcome though all poems must be written in English. Please share widely, and if you are a student yourself, please consider writing a math poem…

#mathpoetry #math #poetry #mathisbeautiful #mathishuman

www.ams.org/math-poetry

This is an oriented graph for the Seymour Second Neighborhood Conjecture #SSNC. Nodes are in "rooted neighborhoods". We see patterns, number of nodes in each neighborhood. #MathIsBeautiful
1->7
2->6
3->5
Second, number of cycles.
1->1
2->2
3->2 (can't have 3)
alphaxiv.org/abs/2501.00614

Math isn’t just equations, it’s sunflowers blooming in Fibonacci spirals, seashells swirling with precision. Nature counts, and beauty follows. #MathIsBeautiful #Fibonacci #NatureLovers

Today's (triangle) #MathArtMarch #MathArtChallenge Is from one of my favorite #book series, #RangersApprentice I measured what I called loyalty score which is well ordered vs their role in the book. #mathart
#mathsky #compsky #graphtheory #math #compsci #mathstalk #iTeachMath #mathisbeautiful

Happy Pi Day (3.14) to one and all!
#MathIsBeautiful #PiDay #TBATs #BATs

Happy Pi Day (3.14) to one and all!
#MathIsBeautiful #PiDay

An Algorithmic Approach to Finding Degree-Doubling Nodes in Oriented Graphs Seymour's Second Neighborhood Conjecture claims that there will always exist a node whose out-degree doubles in the square of an oriented graph. In this paper, we first present a novel data structure,...

I wanted to bring up my paper on the Seymour Second Neighborhood Conjecture. The #datastructure and proof use a total order which make things like back arcs visually appealing. So I tried to bring them to #mathartmarch #mathsky #compsky #math #graphtheory #mathartchallenge #mathisbeautiful

Recursive Generative Art: A Mathematical Exploration
This image is the result of a recursive function that combines algebraic and trigonometric transformations in the plane.
#MathArt #MathIsBeautiful #GenerativeArt #CreativeCoding #p5js

Visualizing the dynamical chessboard of the Blaschke product B(z)=[(z+1/2)/(z/2+1)]³ using #p5js, centered around the parabolic fixed point z=2.5
#MathArt #MathIsBeautiful #GenerativeArt #CreativeCoding

Inverted plane: applies w=1/z to the complex plane before performing the Julia set iteration
#p5js #MathArt #MathIsBeautiful #GenerativeArt #CreativeCoding

Julia set fractal with a chessboard visualization.
f(z)=z²+c (where c=0.35).
The chessboard pattern is determined by the real and imaginary parts of the final z value after iteration.
#p5js #MathArt #MathIsBeautiful #GenerativeArt #CreativeCoding

Visualizing the dynamical chessboard of the Blaschke product B(z)=[(z+1/2)/(z/2+1)]³ using #p5js
The center of the image corresponds to z = 0, where B(z)=0.125. Black and white squares are determined by the real and imaginary parts of B(z).
#MathArt #MathIsBeautiful #GenerativeArt #CreativeCoding

Another version that I really like.
#p5js #Fractals #MathArt #MathIsBeautiful

This is a Julia set fractal, generated using the complex function f(z) = z² + c, where c = 0.35
The complex plane is inverted using w = 1 / z
The shading is calculated using surface normals and a virtual light source, giving the fractal a 3D-like depth.
#p5js #Fractals #MathArt #MathIsBeautiful

OpenAI We believe our research will eventually lead to artificial general intelligence, a system that can solve human-level problems. Building safe and beneficial AGI is our mission.

Photo generated by chatGPT (openai.com) #EDay #MathematicsMatters #CelebrateScience #MathIsBeautiful

The year is 2025, a mathematically magical number! ✨
• It’s the sum of the cubes of the first 9 integers:
1^3 + 2^3 + 3^3 + … + 9^3 = 2025
• It’s also the square of their sum:
(1 + 2 + 3 + … + 9)^2 = 2025

Math symmetry for the new year! 🎉

#MathIsBeautiful #Happy2025 #HappyNewYear

#MathIsBeautiful -1.08750000000000013e-01 + -6.50625000000000009e-01i at zoom 5.3263756431e+01.

Today we celebrate the beauty of mathematics and the nature that surrounds us. The Fibonacci sequence is all around us, from snail shells to galaxies

#fibonacciday #mathIsbeautiful #naturelovers #mathematics #mathgenius

Thank you! #MathIsBeautiful #EngineeringIsCute

So here's something different! :) In my spare time, I sometimes tinker around with #processing and try my hand at procedural art -- created a #mandala generator a while ago:

#programmer #programming #graphics #art #fractals #proceduralart #generation #coding #engineering #mathisbeautiful

Kann die Natur Mathe?
(verspätete) Glückwünsche zum DMV Medienpreis an @hyperjinx für dieses großartige Video über die berühmten Annanaszahlen, den goldenen Schnitt und vieles mehr.
Unbedingte Kuckempfehlung!

www.mathematik.de/index.php?op...

#mathsky #goldenerSchnitt #Annanas #mathisbeautiful

Have some fun over the weekend with light-billard:
rawcdn.githack.com/IMAGINARY/ci...
#math #mathisbeautiful #lightrays #mathsky

Recommended this book to a colleague this morning  - and now you get to see it, too!

Do Not Erase: Mathematicians and Their Chalkboards
by Jessica Wynne

press.princeton.edu/books/hardco...

#math #mathematics #art #chalkboard #MathIsBeautiful

Generative Growth - Random bumps are added two at a time.

#mathart #generativeart #codeart #creativecoding #random #randomart #generative #rainbow #mathematica #grow #mathisbeautiful #mountains

Morning Glory Earrings #mathisbeautiful #jewelryjune #mathflower #mathpower #camerashutter

shpws.me/OE2V