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Mathematics. Fractals. Mandelbrot. Infinity. Created by iterating simple formulas, revealing the mystery of math. How chaos theory and iteration can birth entire universes that look alive. By Trips, Used with permission.

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Cliff Pickover

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14,271 görüntüleme • 4 ay önce •via X (Twitter)

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With the iteration of this simple function in the complex plane: f(z) = z² + c You get one of the most beautiful trips into self-similariy and infinity. The Mandelbrot set [🎞️Chirag Dudhat / fascinating.fractals]
1:06

With the iteration of this simple function in the complex plane: f(z) = z² + c You get one of the most beautiful trips into self-similariy and infinity. The Mandelbrot set [🎞️Chirag Dudhat / fascinating.fractals]

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Mathematics. Hidden inside every square is a 3-4-5 right triangle, which humans can reveal in the following manner. By math educator Tim Brzezinski, Tim Brzezinski, Used with permission.
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Mathematics. Hidden inside every square is a 3-4-5 right triangle, which humans can reveal in the following manner. By math educator Tim Brzezinski, Tim Brzezinski, Used with permission.

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The beauty and mystery of mathematics "Visualization of Pi Being Irrational." "Ideally the simulation could run for days, months, years, decades, for eternity — Yet the lines would never connect." By Chirag Dudhat, Used with permission. Info:
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The beauty and mystery of mathematics "Visualization of Pi Being Irrational." "Ideally the simulation could run for days, months, years, decades, for eternity — Yet the lines would never connect." By Chirag Dudhat, Used with permission. Info:

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Mathematics. Every minute, draw a line from the end of the minute hand, to the end of the hour hand. A wonderful pattern emerges. By Matt Henderson, Matt Henderson, used with permission. [math, maths]
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Mathematics. Every minute, draw a line from the end of the minute hand, to the end of the hour hand. A wonderful pattern emerges. By Matt Henderson, Matt Henderson, used with permission. [math, maths]

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In Mathematics, a graph is defined as G = (V, E)... a collection of vertices V joined by edges E. From this deceptively simple idea emerges a living neural world, where signals race through a cortical graph and converge upon a morphing hypergraph core, revealing how abstract Mathematics can be transformed into something that appears almost alive.
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In Mathematics, a graph is defined as G = (V, E)... a collection of vertices V joined by edges E. From this deceptively simple idea emerges a living neural world, where signals race through a cortical graph and converge upon a morphing hypergraph core, revealing how abstract Mathematics can be transformed into something that appears almost alive.

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Mathematics, astronomy, physics. "No matter how chaotic and unstable the orbits of these three gravitational bodies are, their center of gravity (centroid of the triangle) always remains stationary and fixed in space." By Matt Henderson, Matt Henderson, used with permission.
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Mathematics, astronomy, physics. "No matter how chaotic and unstable the orbits of these three gravitational bodies are, their center of gravity (centroid of the triangle) always remains stationary and fixed in space." By Matt Henderson, Matt Henderson, used with permission.

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Mathematics, topology, geometry, simulation, algorithms. Watch this Cosmic Eversion Loop. Particle Tube Metamorphosis. Notice how the interior surface of the tube evaginates to become the "exterior." By Acid Boy 💊, Used with permission.
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Mathematics, topology, geometry, simulation, algorithms. Watch this Cosmic Eversion Loop. Particle Tube Metamorphosis. Notice how the interior surface of the tube evaginates to become the "exterior." By Acid Boy 💊, Used with permission.

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Mathematics and witchcraft. Our strange universe. We can remove a handle of a double torus from a rod without cutting or pinching the surface. By Keenan Crane et al, Keenan Crane, Source: Used with permission
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Mathematics and witchcraft. Our strange universe. We can remove a handle of a double torus from a rod without cutting or pinching the surface. By Keenan Crane et al, Keenan Crane, Source: Used with permission

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.buffalu on Solana: "There's the SIMD and protocol improvements around inflation and burning, there's tokenized equities, and a lot of stuff we're going to bring via JTX to get more people trading on Solana" "The best teams win by iterating the fastest, and no one is iterating faster than Solana. Not only the teams that exist today but the new teams coming up too" "You can look at the current state of crypto and be bearish, but it's hard to do that if you look at the state of iteration on Solana"
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.buffalu on Solana: "There's the SIMD and protocol improvements around inflation and burning, there's tokenized equities, and a lot of stuff we're going to bring via JTX to get more people trading on Solana" "The best teams win by iterating the fastest, and no one is iterating faster than Solana. Not only the teams that exist today but the new teams coming up too" "You can look at the current state of crypto and be bearish, but it's hard to do that if you look at the state of iteration on Solana"

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Common Core math was introduced in 2010 to address standards across the U.S. and shift the focus from rote memorization to a deeper, conceptual understanding of mathematics. By 2026, it remains a common standard in many states, aiming to prepare students for college and the modern workforce by fostering critical thinking and number sense rather than just memorizing formulas. There has been much debate on using common core math in schools curriculum. Do you agree with using common core math in schools? Or do you think the old way of doing math was the better way to teach math to children?
1:03

Common Core math was introduced in 2010 to address standards across the U.S. and shift the focus from rote memorization to a deeper, conceptual understanding of mathematics. By 2026, it remains a common standard in many states, aiming to prepare students for college and the modern workforce by fostering critical thinking and number sense rather than just memorizing formulas. There has been much debate on using common core math in schools curriculum. Do you agree with using common core math in schools? Or do you think the old way of doing math was the better way to teach math to children?

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Brownian motion is the fundamental martingale that arises in almost all areas of mathematics with a stochastic aspect, used in biology, passing by statistical mechanics and diffusion model.
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Brownian motion is the fundamental martingale that arises in almost all areas of mathematics with a stochastic aspect, used in biology, passing by statistical mechanics and diffusion model.

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🚨 BREAKING: Fields medalist Terry Tao on how mathematics will change: “When these tools are perfected, we will change the way we do mathematics. If there's a drudgery or a big computation, we'll just hit it with all our technology and say: 'By Gauss, you can get from here to there,' and now we just keep going. So we can blast through all these obstacles that we avoid almost subconsciously. If you look at what we miss, it's the missed opportunities, and that percentage of the overall opportunities is huge.” Full conversation with Math, Inc.’s Jesse Michael Han and Jared Duker Lichtman coming soon.
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🚨 BREAKING: Fields medalist Terry Tao on how mathematics will change: “When these tools are perfected, we will change the way we do mathematics. If there's a drudgery or a big computation, we'll just hit it with all our technology and say: 'By Gauss, you can get from here to there,' and now we just keep going. So we can blast through all these obstacles that we avoid almost subconsciously. If you look at what we miss, it's the missed opportunities, and that percentage of the overall opportunities is huge.” Full conversation with Math, Inc.’s Jesse Michael Han and Jared Duker Lichtman coming soon.

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The Toyota Mark II (KAZ 645Z), owned by an Assistant Commissioner of Police, was used to track and assassinate MP Charles Ong’ondo in Nairobi, revealing a shocking conspiracy that turned a simple car request into murder. #KTNPrime
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The Toyota Mark II (KAZ 645Z), owned by an Assistant Commissioner of Police, was used to track and assassinate MP Charles Ong’ondo in Nairobi, revealing a shocking conspiracy that turned a simple car request into murder. #KTNPrime

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About 200 of Ukraine's 5,000 gas stations have been destroyed by Russian airstrikes over the past month, and the number of strikes is progressing. This was stated by fuel expert Dmitry Leushkin. Simple math would tell us how fast Russia can destroy every gas station in 404.
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About 200 of Ukraine's 5,000 gas stations have been destroyed by Russian airstrikes over the past month, and the number of strikes is progressing. This was stated by fuel expert Dmitry Leushkin. Simple math would tell us how fast Russia can destroy every gas station in 404.

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SNEAKO cooks a chatter for calling him a “low IQ Muslim,” by pointing out how the letters and numbers we use today came through Islamic expansion 😳😭 “You typed that using the alphabet that was created by the Arabs. Secondly, the majority of math and modern-day physics came from Islamic expansion.”
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SNEAKO cooks a chatter for calling him a “low IQ Muslim,” by pointing out how the letters and numbers we use today came through Islamic expansion 😳😭 “You typed that using the alphabet that was created by the Arabs. Secondly, the majority of math and modern-day physics came from Islamic expansion.”

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That’s how I look at this ‘CHAOS BY DESIGN’ or IAC 2.0, created by the experienced Sangh ecosystem to tap (and trap ?) the perpetual influencers and poster boys, girls of the public protests in India. And yet again the Indian Socialists are caught lending themselves to Sanghis for free. 😁 Bushra Khanum بشریٰ خانم

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Well, So I just created my prediction card using the football prediction tool built by HUB by AP Collective with MEXC And tbh, the whole experience is simple and enjoyable. I'm Rooting for 🇦🇷 Argentina to become tournament champion I walk through the entire process in this video, so getting started is quick and simple. Generate your card here: Now it's your turn to make your picks and see how far your predictions can go ⚽️ #MEXC

Abdul Rehman

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If you’re an engineer, physicist, or CS person and you’ve been telling yourself that Pure Mathematics is optional, and you’re anywhere between an ambitious undergrad and a beginning PhD, gravity is usually where that story ends. Not because mathematicians are trying to show off, but because the basic object in the theory is Spacetime, and Spacetime is already a pure mathematical structure. It’s a Manifold with Topology built in. Sure you can get pretty far by memorising formulas, but at some point you realise you’re no longer reading the theory, you’re just reciting it. In 2015, during the 100th anniversary of general relativity and the International Year of Light, the Scientific Organizing Committee released a central set of 24 lectures by Frederic P. Schuller. The series is titled: A thorough introduction to the theory of general relativity. It builds the subject carefully from first principles, step by step, across 24 self-contained lectures. #GeneralRelativity #Spacetime #MathematicalPhysics #DifferentialGeometry #PhysicsEducation #Relativity
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If you’re an engineer, physicist, or CS person and you’ve been telling yourself that Pure Mathematics is optional, and you’re anywhere between an ambitious undergrad and a beginning PhD, gravity is usually where that story ends. Not because mathematicians are trying to show off, but because the basic object in the theory is Spacetime, and Spacetime is already a pure mathematical structure. It’s a Manifold with Topology built in. Sure you can get pretty far by memorising formulas, but at some point you realise you’re no longer reading the theory, you’re just reciting it. In 2015, during the 100th anniversary of general relativity and the International Year of Light, the Scientific Organizing Committee released a central set of 24 lectures by Frederic P. Schuller. The series is titled: A thorough introduction to the theory of general relativity. It builds the subject carefully from first principles, step by step, across 24 self-contained lectures. #GeneralRelativity #Spacetime #MathematicalPhysics #DifferentialGeometry #PhysicsEducation #Relativity

Mathelirium

198,553 görüntüleme • 5 ay önce

Is math something humans invent—or something we discover? And why does it describe the universe so uncannily well? In this episode of Uncommon Knowledge, Peter Robinson sits down with mathematicians David Berlinski, Sergiu Klainerman, and Stephen C. Meyer to explore one of the deepest mysteries in science and philosophy: the reality of mathematics. From the simple certainty that 2 + 2 = 4 to the mind-bending mathematics behind black holes and quantum physics, the conversation asks why abstract numbers—created in the human mind—map so perfectly onto the physical world. Is mathematics purely logical, or does it point to a deeper structure of reality that isn't material at all? Along the way, the panel explores beauty in science, the "unreasonable effectiveness" of math, and whether the concept of materialism can really explain the world we live in. This wide-ranging discussion blends mathematics, physics, philosophy, and metaphysics into a fascinating conversation about truth, beauty, and the nature of reality itself. Watch the full episode of Uncommon Knowledge on X:
57:17

Is math something humans invent—or something we discover? And why does it describe the universe so uncannily well? In this episode of Uncommon Knowledge, Peter Robinson sits down with mathematicians David Berlinski, Sergiu Klainerman, and Stephen C. Meyer to explore one of the deepest mysteries in science and philosophy: the reality of mathematics. From the simple certainty that 2 + 2 = 4 to the mind-bending mathematics behind black holes and quantum physics, the conversation asks why abstract numbers—created in the human mind—map so perfectly onto the physical world. Is mathematics purely logical, or does it point to a deeper structure of reality that isn't material at all? Along the way, the panel explores beauty in science, the "unreasonable effectiveness" of math, and whether the concept of materialism can really explain the world we live in. This wide-ranging discussion blends mathematics, physics, philosophy, and metaphysics into a fascinating conversation about truth, beauty, and the nature of reality itself. Watch the full episode of Uncommon Knowledge on X:

Hoover Institution

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