3Blue1Brown
The hardest problem on the hardest test
A geometry/probability question on the Putnam, a famously hard test, about a random tetrahedron in a sphere. This offers an opportunity not just for a lesson about the problem, but about problem-solving tactics in general.
Crash Course
3D Graphics: Crash Course Computer Science
Today we’re going to discuss how 3D graphics are created and then rendered for a 2D screen. From polygon count and meshes, to lighting and texturing, there are a lot of considerations in building the 3D objects we see in our movies and...
Crash Course
Columbus, de Gama, and Zheng He! 15th Century Mariners. Crash Course World History
In which John Green teaches you about the beginning of the so-called Age of Discovery. You've probably heard of Christopher Columbus, who "discovered" America in 1492, but what about Vasco da Gama? How about Zheng He? Columbus gets a bad...
3Blue1Brown
e to the pi i, a nontraditional take (old version)
The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns...
TED Talks
Geoffrey West: The surprising math of cities and corporations
Physicist Geoffrey West has found that simple, mathematical laws govern the properties of cities -- that wealth, crime rate, walking speed and many other aspects of a city can be deduced from a single number: the city's population. In...
Bozeman Science
AP Biology Lab 5: Cellular Respiration
Paul Andersen explains how a respirometer can be used to measure the respiration rate in peas, germinating peas and the worm. KOH is used to solidify CO2 produced by a respiring organism.
PBS
Are Virtual Video Game Economies Becoming Real?
The idea that a collection of pixels can be sold for actual money might be confusing to some, as they are neither true "objects" you can hold nor "ideas" that can be considered intellectual property. But despite the lack of tangibility,...
TED Talks
TED: My wish: Three actions for Africa | Bono
Musician and activist Bono accepts the 2005 TED Prize with a riveting talk, arguing that aid to Africa isn't just another celebrity cause; it's a global emergency.
3Blue1Brown
Understanding e to the pi i
The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns...
TED Talks
TED: How ethics can help you make better decisions | Michael Schur
What would Immanuel Kant say about a fender bender? In a surprisingly funny trip through the teachings of some of history's great philosophers, TV writer and producer Michael Schur (from hit shows like "The Office" and "The Good Place")...
SciShow
The New Superbug!
A new strain of the E. coli bacteria seems to have become resistant to most antibiotics. Let’s talk about how this possibly happened.
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem)
This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.
TED Talks
TED: How we can use light to see deep inside our bodies and brains | Mary Lou Jepsen
In a series of mind-bending demos, inventor Mary Lou Jepsen shows how we can use red light to see and potentially stimulate what's inside our bodies and brains. Taking us to the edge of optical physics, Jepsen unveils new technologies...
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem): Topology - Part 1 of 3
This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.
SciShow
Why People Are Sending Themselves Hate Messages
You might be familiar with the concept of self-harm, but it isn’t just physical. As it turns out, people can harm themselves through the anonymity of the internet.
SciShow
The Science Behind Football's First-Down Line
If you’ve watch American football on television, you may have wondered how they make that yellow first down line look like it’s actually down on the field.
TED Talks
TED: 5 transformational policies for a prosperous and sustainable world | Johan Rockstrom
In a talk about how we can build a robust future without wrecking the planet, sustainability expert Johan Rockstrom debuts the Earth3 model -- a new methodology that combines the UN Sustainable Development Goals with the nine planetary...
TED Talks
Margaret Wertheim: The beautiful math of coral
Margaret Wertheim leads a project to re-create the creatures of the coral reefs using a crochet technique invented by a mathematician -- celebrating the amazements of the reef, and deep-diving into the hyperbolic geometry underlying...
TED-Ed
TED-Ed: Why isn’t the Netherlands underwater?
In January 1953, a tidal surge shook the North Sea. The titanic waves flooded the Dutch coastline, killing almost 2,000 people. 54 years later, a similar storm threatened the region. But this time, they were ready. This was thanks to a...
3Blue1Brown
Cross products in the light of linear transformations: Essence of Linear Algebra - Part 11 of 15
The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.
SciShow
How You Affect Other People’s Brain Waves - Inter-Brain Connections
Scientists know that things like people’s heart rates, breathing, and even footfalls tend to line up when they’re doing things together, but we're learning that even the electrical activity in your brain can sync up too!
TED Talks
TED: An architect's subversive reimagining of the US-Mexico border wall | Ronald Rael
* Viewer discretion advised. This video includes discussion of mature topics and may be inappropriate for some audiences. What is a border? It's a line on a map, a place where cultures mix and merge in beautiful, sometimes violent and...
MinutePhysics
Why December Has The Longest Days
December has the longest solar days (noon-to-noon) because of the weird way a combination of the axial tilt of the earth and the eccentricity of its elliptical orbit conspire in December. Perihelion + Solstices = Long Days.