Hank talks about chimeras, and why Venus the cat probably isn't one - but your mom might be!

How does heat affect airplanes? Turns out heat, speed and density connect to create dangerous situations.

Dolphins are sophisticated creatures similar to us in many ways. But until recently, one of their behaviors had scientists scratching their heads.

Unlike with many other viruses, once you get a herpesvirus you’re stuck with it for life. But just how do these master trespassers accomplish this feat?

This is it! We're going out with a singing, dancing look at the Broadway Book Musical. Oklahoma! On the Town! Annie Get Your Gun! Also, just Annie! Today you'll learn about the development of the Broadway Book Musical in the late 19th...

Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?

Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?

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.

This video recounts a lecture by Richard Feynman giving an elementary demonstration of why planets orbit in ellipses. See the excellent book by Judith and David Goodstein, "Feynman's lost lecture”, for the full story behind this...

Newton's method, and the fractals the ensue

A solution to the puzzle involving two blocks, sliding fricionlessly, where the number of collisions mysteriously computes pi

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This video recounts a lecture by Richard Feynman giving an elementary demonstration of why planets orbit in ellipses. See the excellent book by Judith and David Goodstein,...

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

In this video Michael Aranda explains what the Leidenfrost Effect is, and how it can cause liquid to 'levitate'.

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

Today's math curriculum is teaching students to expect -- and excel at -- paint-by-numbers classwork, robbing kids of a skill more important than solving problems: formulating them. Dan Meyer shows classroom-tested math exercises that...

In which John Green returns to William Shakespeare's Romeo and Juliet to explore the themes of true love, lust, and whether Romeo and Juliet were truly, deeply in love, or they were just a pair of impetuous teens. How exactly did Romeo...

A molecule is nearly all empty space, apart from the extremely dense nuclei of its atoms and the clouds of electrons that bond them together. When that molecule forms, it arranges itself to maximize attraction of opposite charges and...

In which John Green examines Romeo & Juliet by William Shakespeare. John delves into the world of Bill Shakespeare's famous star-crossed lovers and examines what the play is about, its structure, and the context in which it was written....

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.

A visual for derivatives which generalizes more nicely to topics beyond calculus. Thinking of a function as a transformation, the derivative measure how much that function locally stretches or squishes a given region.

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

Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?

In the 1930s, broadcast radio introduced an entirely new form of storytelling; today, micro-blogging platforms like Twitter are changing the scene again. Andrew Fitzgerald takes a look at the (aptly) short but fascinating history of new...