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Life is nonlinear. So handle it using Math.

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Where lines meet at right angles, Pythagoras revealed a hidden poetry of numbers. 🎬credit: eeanimation

Where lines meet at right angles, Pythagoras revealed a hidden poetry of numbers. 🎬credit: eeanimation

119,060 görüntüleme

There is a shape in mathematics that can hold a finite amount of paint, yet would require an infinite amount of paint to coat its surface. It is called Gabriel’s Horn. Imagine rotating the curve y=1/x around the x-axis. The result is a long, tapering surface that stretches infinitely, like a tunnel that never ends. Here’s where the paradox appears. The volume of this shape converges—if you add up all its infinitesimal slices, the total stops growing. In other words, you can completely fill it with a finite amount of paint. But the surface area diverges. No matter how far you go along the horn, there is always more surface to cover. The outer “skin” keeps extending, demanding more paint without end. So while you could pour paint inside and fill it entirely, you would never finish painting the outside. This is not a trick, but a consequence of how infinity behaves. The radius shrinks quickly enough for the volume to remain finite, yet not fast enough to keep the surface area from growing without bound. It reveals a deeper truth: infinity does not simply mean “very large”—it means unending. And sometimes, the infinite can exist within the finite in ways that defy our intuition, even while remaining perfectly consistent in mathematics.

There is a shape in mathematics that can hold a finite amount of paint, yet would require an infinite amount of paint to coat its surface. It is called Gabriel’s Horn. Imagine rotating the curve y=1/x around the x-axis. The result is a long, tapering surface that stretches infinitely, like a tunnel that never ends. Here’s where the paradox appears. The volume of this shape converges—if you add up all its infinitesimal slices, the total stops growing. In other words, you can completely fill it with a finite amount of paint. But the surface area diverges. No matter how far you go along the horn, there is always more surface to cover. The outer “skin” keeps extending, demanding more paint without end. So while you could pour paint inside and fill it entirely, you would never finish painting the outside. This is not a trick, but a consequence of how infinity behaves. The radius shrinks quickly enough for the volume to remain finite, yet not fast enough to keep the surface area from growing without bound. It reveals a deeper truth: infinity does not simply mean “very large”—it means unending. And sometimes, the infinite can exist within the finite in ways that defy our intuition, even while remaining perfectly consistent in mathematics.

274,674 görüntüleme

Do you still think math is boring?

Do you still think math is boring?

204,503 görüntüleme

These mathematical equations don’t just draw surfaces — they sketch a heart, turning cold symbols into something that feels deeply human. 📷: mathswithmuza

These mathematical equations don’t just draw surfaces — they sketch a heart, turning cold symbols into something that feels deeply human. 📷: mathswithmuza

11,533 görüntüleme

When you realized that you forgot to write +c in all indefinite integrals on your final exam

When you realized that you forgot to write +c in all indefinite integrals on your final exam

75,938 görüntüleme

The Math Dance

The Math Dance

41,876 görüntüleme

This calculus meme 😢

This calculus meme 😢

41,511 görüntüleme

Rotation 😂

Rotation 😂

35,873 görüntüleme

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(a + b)² = a² + 2ab + b²

(a + b)² = a² + 2ab + b²

2,910,529 görüntüleme • 10 gün önce

In 2014, a woman won the Fields Medal for the first time since it was established. Her story is fascinating because she was representing ordinary girls from all over the world. Her name was Maryam Mirzakhani, and she was from Iran. When Maryam was studying in Iran, there were separate schools for boys and girls. This did not make it easy for her to pursue science. Still, she did not give up. She worked hard and became one of the first Iranian girls to take part in the International Mathematical Olympiad, where she won a gold medal. The following year, she won another gold medal. She completed her early studies in Iran and later went to the United States, where she earned her PhD from Harvard University in 2004. Ten years later, she was awarded the Fields Medal for her important work in the geometry of Riemann surfaces and their moduli spaces. Stories like hers help inspire more women to be included in the world of mathematics.

In 2014, a woman won the Fields Medal for the first time since it was established. Her story is fascinating because she was representing ordinary girls from all over the world. Her name was Maryam Mirzakhani, and she was from Iran. When Maryam was studying in Iran, there were separate schools for boys and girls. This did not make it easy for her to pursue science. Still, she did not give up. She worked hard and became one of the first Iranian girls to take part in the International Mathematical Olympiad, where she won a gold medal. The following year, she won another gold medal. She completed her early studies in Iran and later went to the United States, where she earned her PhD from Harvard University in 2004. Ten years later, she was awarded the Fields Medal for her important work in the geometry of Riemann surfaces and their moduli spaces. Stories like hers help inspire more women to be included in the world of mathematics.

313,720 görüntüleme • 1 ay önce

Math champs don’t need calculators. 😂

Math champs don’t need calculators. 😂

394,197 görüntüleme • 1 ay önce

It appears circular, but the balls are really moving in straight lines

It appears circular, but the balls are really moving in straight lines

410,590 görüntüleme • 2 ay önce

Math becomes beautiful the moment you can see it. a² − b² = (a + b)(a − b)

Math becomes beautiful the moment you can see it. a² − b² = (a + b)(a − b)

178,939 görüntüleme • 1 ay önce

Vector addition

Vector addition

132,584 görüntüleme • 1 ay önce

Quadratic formula

Quadratic formula

24,699 görüntüleme • 14 gün önce

Mathematician 🐐❤️

Mathematician 🐐❤️

143,723 görüntüleme • 3 ay önce

Electromagnetic Waves (Circular Polarization)

Electromagnetic Waves (Circular Polarization)

27,157 görüntüleme • 18 gün önce

Fibonacci Spiral

Fibonacci Spiral

27,419 görüntüleme • 23 gün önce

The Notebooks of Srinivasa Ramanujan

The Notebooks of Srinivasa Ramanujan

52,216 görüntüleme • 1 ay önce

The Notebooks of Srinivasa Ramanujan

The Notebooks of Srinivasa Ramanujan

67,324 görüntüleme • 3 ay önce

Edward Teller, a genius himself, talking about the genuis of John Von Nuemann

Edward Teller, a genius himself, talking about the genuis of John Von Nuemann

56,029 görüntüleme • 3 ay önce

Vector Addition

Vector Addition

48,366 görüntüleme • 3 ay önce

3,000 men stood for one woman: Madam Curie

3,000 men stood for one woman: Madam Curie

36,926 görüntüleme • 3 ay önce

Euler's Disk

Euler's Disk

18,872 görüntüleme • 1 ay önce

Why are prime numbers so important?

Why are prime numbers so important?

35,143 görüntüleme • 4 ay önce

Prof. Richard Feynman talks about algebra.

Prof. Richard Feynman talks about algebra.

28,499 görüntüleme • 3 ay önce

John Von Neumann Interview

John Von Neumann Interview

22,756 görüntüleme • 3 ay önce

I don't like honors: Rechard Feynman ✍️

I don't like honors: Rechard Feynman ✍️

24,373 görüntüleme • 4 ay önce