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News
First Ring Daily 1928: A Hilux of Helix
6+ mon, 16+ hour ago (82+ words) Brad Sams has more than a decade of writing and publishing experience under his belt including helping to establish new and seasoned publications From breaking news about upcoming Microsoft products to telling the story of how a billion dollar brand…...
Geometry shapes life
8+ mon, 1+ week ago (525+ words) Embryo geometry has to be firm—without it, cells would be all over the map image: Postdoc collaboration at the Institute of Science and Technology Austria (ISTA). ISTA’s Nikhil Mishra and Yuting Irene Li are looking for tiny striped zebrafish…...
Perfect Shuffle: The Strange Fractals Hidden in a Simple Algorithm
9+ mon, 2+ day ago (942+ words) I have always been fascinated by elementary algorithms that create complex patterns. There is something fundamentally intriguing about such algorithms. One such algorithm is the Perfect Shuffle. Let's explore its unusual properties and create some striking fractals using this algorithm....
Mathematicians Just Discovered Two New Types of Infinity, and They May Break the Rules of Math
9+ mon, 1+ week ago (704+ words) Home → Science → Mathematics How two new strange infinities challenge mathematical order. Is there an infinity of infinities? The question sounds almost absurd, like a child’s riddle meant to twist your brain into knots. But for mathematicians, it’s a serious (and…...
Unlocking AI's Universal Secrets: Do Neural Networks Think in Fractals?
9+ mon, 1+ week ago (717+ words) Imagine training an AI to recognize cats. It excels with close-up photos, but fails miserably when shown a distant, pixelated feline. This exposes a fundamental challenge: how can we build AI systems that generalize across different scales and perspectives? The…...
Billiard Fractals: The Infinite Patterns Hidden in a Rectangle
9+ mon, 2+ week ago (1718+ words) Complex systems often appear chaotic or incomprehensible, yet closer examination reveals that such complexity can frequently be reduced to a simple underlying mechanism. By systematically removing layers of emergent behavior, one can uncover a fundamental rule or equation from which…...
Mathematicians Make Surprising Breakthrough in 3D Geometry with ‘Noperthedron’
10+ mon, 2+ week ago (33+ words) Prince Rupert of the Rhine first asked this question in the 17th century, and he soon found out the answer is yes. Later, mathematicians found more and more three-dimensional shapes that eventually......
A Universe of Triangles.
9+ mon, 3+ week ago (709+ words) So, this article is going to be the first of a 5 part series where I break down each video of the playlist, my iteration of trying to break it down simply as John Chapman did for me. Just a heads…...
Rainbows, fractals, and crumpled paper: Hölder continuity — LessWrong
10+ mon, 1+ week ago (424+ words) One of my favorite website is allRGB. It's a collection of images which each contain every 24-bit RGB color exactly once. Most of them (though not all) are square 4096-by-4096 images. (In general, we can imagine doing this with (n…...
Impedance and Trianglular Numbers
10+ mon, 1+ week ago (179+ words) A few days ago I wrote two posts about how to create a Smith chart, a graphical device used for impedance calculations. Then someone emailed me to point out the connection between the Smith chart and triangular numbers. The Smith…...