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In the world of math, many strange results are possible when we change the rules. But there's one rule that most of us have been warned not to break: don't divide by zero. How can the simple combination of an everyday number and a basic operation cause such problems? View full lesson: https://ed.ted.com/lessons/why-can-t-you-divide-by-zero English subtitles. Duración 4:38.

When you hear the word symmetry, you might think generally of triangles, butterflies, or even ballerinas. But defined scientifically, symmetry is "a transformation that leaves an object unchanged." Huh? Colm Kelleher unpacks this abstract term and explains how animal's distinct symmetries can tell us more about them -- and ourselves. View full lesson: https://ed.ted.com/lessons/the-science-of-symmetry-colm-kelleher Subtítulos en español. Duración 4:54.

The human brain is visibly split into a left and right side. This structure has inspired one of the most pervasive ideas about the brain: that the left side controls logic and the right side controls creativity. And yet, this is a myth, unsupported by scientific evidence. So how did this idea come about, and what does it get wrong? Elizabeth Waters looks into this long held misconception. View full lesson here: https://ed.ted.com/lessons/the-left-brain-vs-right-brain-myth-elizabeth-waters Subtítulos en español.

The ratio of a circle's circumference to its diameter is always the same: 3.14159... and on and on (literally!) forever. This irrational number, pi, has an infinite number of digits, so we'll never figure out its exact value no matter how close we seem to get. Reynaldo Lopes explains pi's vast applications to the study of music, financial models, and even the density of the universe. View full lesson: https://ed.ted.com/lessons/the-infinite-life-of-pi-reynaldo-lopes Subtítulos en español. Duración 3:33.

After months of travel, you've arrived at Duonia, home to the famous temple that's the destination of your pilgrimage. The walk from the welcome center to the temple isn't a long one..., but there's a problem. Can you outsmart the city's imposed tax and make it to the temple without paying a fee? Daniel Finkel shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-penniless-pilgrim-riddle-daniel-finkel Want to continue exploring Duonia? Here there is a variation of the Pilgrim Riddle: https://wordplay.blogs.nytimes.com/2013/08/26/pilgrim/ Subtítulos en español. Duración 4:26.

A hostile artificial intelligence called NIM has taken over the world's computers. You're the only person skilled enough to shut it down, and you'll only have one chance. Can you survive and shut off the artificial intelligence? Dan Finkel shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-rogue-ai-riddle-dan-finkel This video was inspired the by a game called Nim that has been played in various forms for centuries. The fundamental structure of Nim-style games is that there are one or more piles of objects, and certain rules for removing objects from the piles. There are always 2 players in Nim. Nim can even be played by younger students simply by making the numbers smaller: https://mathforlove.com/lesson/1-2-nim/ English subtitles. Duración 4:02.

Imagine a group of people. How big do you think the group would have to be before there's more than a 50% chance that two people in the group have the same birthday? The answer is probably lower than you think. David Knuffke explains how the birthday problem exposes our often-poor intuition when it comes to probability. View full lesson here: http://ed.ted.com/lessons/check-your-intuition-the-birthday-problem-david-knuffke Todavía sin subtítulos (26/05/2017).

In Islamic culture, geometric design is everywhere: you can find it in mosques, madrasas, palaces, and private homes. And despite the remarkable complexity of these designs, they can be created with just a compass to draw circles and a ruler to make lines within them. Eric Broug covers the basics of geometric Islamic design. View full lesson: http://ed.ted.com/lessons/the-complex-geometry-of-islamic-design-eric-broug Subtítulos en español.

Math is full of symbols: lines, dots, arrows, English letters, Greek letters, superscripts, subscripts... it can look like an illegible jumble. Where did all of these symbols come from? John David Walters shares the origins of mathematical symbols, and illuminates why they're still so important in the field today. View full lesson: https://ed.ted.com/lessons/where-do-math-symbols-come-from-john-david-walters Subtítulos en español. Duración 4:16.

1, 11, 21, 1211, 111221. These are the first five elements of a number sequence. Can you figure out what comes next? Alex Gendler reveals the answer and explains how beyond just being a neat puzzle, this type of sequence has practical applications as well. View full lesson: https://ed.ted.com/lessons/can-you-find-the-next-number-in-this-sequence-alex-gendler Subtítulos en español. Duración 3:42.

Imagine a two-dimensional world -- you, your friends, everything is 2D. In his 1884 novella, Edwin Abbott invented this world and called it Flatland. Alex Rosenthal and George Zaidan take the premise of Flatland one dimension further, imploring us to consider how we would see dimensions different from our own and why the exploration just may be worth it. View full lesson: https://ed.ted.com/lessons/exploring-other-dimensions-alex-rosenthal-and-george-zaidan Subtítulos en español. Duración 4:38.

Have you ever sat in a doctor's office for hours, despite having an appointment? Has a hotel turned down your reservation because it's full? Have you been bumped off a flight that you paid for? These are all symptoms of overbooking, a practice where businesses sell or book more than their capacity. So why do they do it? Nina Klietsch explains the math behind this frustrating practice. Distribución binomial. View full lesson: https://ed.ted.com/lessons/why-do-airlines-sell-too-many-tickets-nina-klietsch Subtítulos en español. Duración 4:45.

Michael Jordan's legendary slam dunk from the free throw line has been calculated at 0.92 seconds of pure hang time. But how many seconds could Jordan have gotten were he doing the same jump on Mars? Or Jupiter? Andy Peterson and Zack Patterson share the math equation behind hang time. View full lesson: https://ed.ted.com/lessons/the-math-behind-michael-jordan-s-legendary-hang-time-andy-peterson-and-zack-patterson Subtítulos en español. Duración 3:33.

When you're working on a problem with lots of numbers, as in economics, cryptography or 3D graphics, it helps to organize those numbers into a grid, or matrix. Bill Shillito shows us how to work with matrices, with tips for adding, subtracting and multiplying (but not dividing!). View full lesson: https://ed.ted.com/lessons/how-to-organize-add-and-multiply-matrices-bill-shillito Subtítulos en español. Duración 4:33.

Imagine a game of dice: if the biggest number rolled is one, two, three, or four, player 1 wins. If the biggest number rolled is five or six, player 2 wins. Who has the best probability of winning the game? Leonardo Barichello explains how probability holds the answer to this seemingly counterintuitive puzzle. View full lesson: https://ed.ted.com/lessons/the-last-banana-a-thought-experiment-in-probability-leonardo-barichello Subtítulos en español. Duración 3:57.

Watching a movie at home isn't quite the same experience as seeing it at a movie theater -- but why? Learn how changes in aspect ratio affect every film, and why your television might not be delivering the whole picture. Lesson by Brian Gervase. View full lesson: https://ed.ted.com/lessons/brian-gervase-why-the-shape-of-your-screen-matters Subtítulos en español. Duración 3:24.

Taking that internship in a remote mountain lab might not have been the best idea. Pulling that lever with the skull symbol just to see what it did probably wasn't so smart either. But now is not the time for regrets because you need to get away from these mutant zombies... fast. Can you use math to get you and your friends over the bridge before the zombies arrive? Alex Gendler shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-the-bridge-riddle-alex-gendler Subtítulos en español. Duración 3:35.

Why can we find geometric shapes in the night sky? How can we know that at least two people in London have exactly the same number of hairs on their head? And why can patterns be found in just about any text - even Vanilla Ice lyrics? PatrickJMT describes the Ramsey theory, which states that given enough elements in a set or structure, some interesting pattern among them is guaranteed to emerge. View full lesson here: https://ed.ted.com/lessons/the-origin-of-countless-conspiracy-theories-patrickjmt Subtítulos en español. Duración 4:22.

We believe a lot of things because we've been told - from our personal acquaintances and also experts. With so many belief systems being passed to us, how do we know whom to trust? Using contemporary examples, Ram Neta explains when listening to experts is a good idea... and when it's not. View full lesson: https://ed.ted.com/lessons/what-percentage-of-your-brain-do-you-use-richard-e-cytowic Subtítulos en español. Duración 5:00.

Before he turned physics upside down, a young Albert Einstein supposedly showed off his genius by devising a complex riddle involving a stolen exotic fish and a long list of suspects. Can you resist tackling a brain teaser written by one of the smartest people in history? Dan Van der Vieren shows how. View full lesson here: https://ed.ted.com/lessons/can-you-solve-einstein-s-riddle-dan-van-der-vieren Subtítulos en español. Duración 5:00.