All particles belong to two large groups: fermions like protons and electrons make everything we consider "matter", while bosons like photons and gluons transmit the fundamental forces. And that about covers the universe: matter moving...

In the beginning of the universe, all was darkness — until the first organisms developed sight, which ushered in an explosion of life, learning and progress. AI pioneer Fei-Fei Li says a similar moment is about to happen for computers...

Unfortunately, the universe isn't made of sugarcoated fried dough. However, here are a few ways donuts are still managing to find their way into the physical world.

The holy grail of physics is to connect our understanding of the tiny scales of atoms and subatomic particles with that of the vast scales of planets, galaxies, and the entire universe. To connect quantum physics with Einstein’s general...

A story of problem-solving styles, with the central example of finding the average area for the shadow of a cube.

How to visualize quaternions, a 4d number system, in our 3d world

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.

How to visualize quaternions, a 4d number system, in our 3d world

How to think of 3x3 matrices as transforming 3d space

How to think about this 4d number system in our 3d space.

Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem

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.

How do you think about a non-square matrix as a transformation?

How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.

How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.

How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?

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...

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.

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.

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.

How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.

How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?

The border between our physical world and the digital information surrounding us has been getting thinner and thinner. Designer and engineer Jinha Lee wants to dissolve it altogether. As he demonstrates in this short, gasp-inducing talk,...

Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem