SciShow
What Shape Are Black Holes? Yes.
What shape is the event horizon of a black hole? Well, the answer to that question changes if our universe is hiding an extra dimension (or more). Black holes could come in an infinite number of shapes — including a precisely spinning...
SciShow
The Climate Crisis Is Changing the Circle of Life
When you think about the impact of climate change on the circle of life, you likely picture polar bears or Bengal tigers struggling in new conditions. But the impacts on the world go all the way down to the tiniest creatures who do some...
SciShow
6 Mysteries Geologists Can't Solve
There are some geological areas on the planet that scientists still don't understand. For most things it's pretty clear—combine a volcanic eruption a dash of erosion, and boom, you’ve got a striking cliff! But not all the features on...
Crash Course
The Birth of Off Broadway: Crash Course Theater #47
By the middle of the 20th century, the epicenter of American theater, the Broadway theater district in New York, was getting to be a pretty staid and commercial place. There was a lot of money to be made from prestige plays and dancing...
3Blue1Brown
Derivative formulas through geometry | Essence of calculus, chapter 3
Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...
PBS
A Breakthrough in Higher Dimensional Spheres
Higher dimensional spheres, or hyperspheres, are counter-intuitive and almost impossible to visualize. Mathematician Kelsey Houston-Edwards explains higher dimensional spheres and how recent revelations in sphere packing have exposed...
3Blue1Brown
Thinking visually about higher dimensions
A method for thinking about high-dimensional spheres, introduced in the context of a classic example involving a high-dimensional sphere inside a high-dimensional box.
3Blue1Brown
Thinking outside the 10-dimensional box
A method for thinking about high-dimensional spheres, introduced in the context of a classic example involving a high-dimensional sphere inside a high-dimensional box.
MinutePhysics
Bell's Theorem: The Quantum Venn Diagram Paradox
This video discusses how polarized sunglasses act as quantum measurement devices by demonstrating the strange behavior of light passing through multiple filters. It delves into the concept of quantum entanglement, Bell's theorem, and the...
PBS
When Pi is Not 3.14
You've always been told that pi is 3.14. This is true, but this number is based on how we measure distance. Find out what happens to pi when we change the way we measure distance.
PBS
The Mathematics of Quantum Computers
What is the math behind quantum computers? And why are quantum computers so amazing? Find out on this episode of Infinite Series.
3Blue1Brown
e^(iπ) in 3.14 minutes, using dynamics | DE5
A quick explanation of e^(pi i) in terms of motion and differential equations
TED-Ed
TED-Ed: Da Vinci's Vitruvian Man of math - James Earle
What's so special about Leonard da Vinci's Vitruvian Man? With arms outstretched, the man fills the irreconcilable spaces of a circle and a square -- symbolizing the Renaissance-era belief in the mutable nature of humankind. James Earle...
TED Talks
TED: Your invitation to disrupt philanthropy | Sara Lomelin
Philanthropy disruptor Sara Lomelin thinks communities can build power through collective giving and the model of "giving circles": groups of people with shared values who come together to make change, strengthen their social fabric and...
3Blue1Brown
Pi hiding in prime regularities
A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
SciShow
Happy Tau Day!
June 28 is Tau Day! Join SciShow as we celebrate circles by exploring the many uses of twice pi.
TED Talks
TED: The politics of fiction | Elif Shafak
Listening to stories widens the imagination; telling them lets us leap over cultural walls, embrace different experiences, feel what others feel. Elif Shafak builds on this simple idea to argue that fiction can overcome identity politics.
3Blue1Brown
Pi hiding in prime regularities
A beutiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9-.... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.
SciShow
6 Mysteries Geologists Can’t Explain — Yet!
Explaining strange Earth geology is often straightforward — combine a volcanic eruption a dash of erosion, and boom, you’ve got a striking cliff! But not all the features on this planet are so easy to figure out. From the ground randomly...
SciShow
How Restaurants Use Psychology to Make You Spend More Money
Restaurants have a whole bucket-load of tricks up their sleeves to get you to spend more money.
3Blue1Brown
Tattoos on Math
After a friend of mine got a tattoo with a representation of the cosecant function, it got me thinking about how there's another sense in which this function is a tattoo on math, so to speak.
3Blue1Brown
A Curious Pattern Indeed
Moser's circle problem. What is this pattern: 1, 2, 4, 8, 16, 31,...