Welcome back to SciShow Talk Show where Hank talks with Dr. Jeff Good about seasonal animal adaptations. Special guest Jessi Knudsen Castañeda with Cas the Arctic Fox.

Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.

A proof of the Wallis product for pi, together with some neat tricks using complex numbers to analyze circle geometry.

It’s tough out there for small animals. Other animals are always trying to eat them, so they have to use tactics like blending in or being toxic to stay alive. These 5 animals, however, take self-preservation to a whole new...

There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it...

The American space program wouldn't be what it is today if it weren't for the contributions of a scientist who was also a former Nazi. Learn about the life and work of rocket scientist Wernher von Braun.

This week, scientists have managed to make tear gland organoids that cry, and have also found a bunch of new genes involved in eye color!

When a piece of cryptography is described as having "256-bit security", what exactly does that mean? Just how big is the number 2^256?

What happens in your body after you get a bruise? Quick Questions explains!

In this explosive episode of SciShow Quiz Show, Hank Green and SciShow writer Dave Loos test their knowledge of diamonds, the environment, and the many reasons why humans are very strange creatures.

The pigments in our food all get destroyed on their way through our digestive system...so where do the colours of our poop and pee come from?

An overview of backpropagation, the algorithm behind how neural networks learn.

Everyone has the right to a clean environment -- but major disparities exist when it comes to who faces the consequences of pollution. Environmental justice leader Peggy Shepard points to the disproportionate impact that hazardous...

An animated introduction to the Fourier Transform, winding graphs around circles.

Do you know anyone with freckles? Maybe you have freckles yourself! Jessi has them, and she's been wondering what they are, where they come from, and why some people have them and some people don't!

Some aquarium hobbyists will pay $10,000 or more for a single shrimp because of the rarity of their colors or patterns.

There are a lot of brightly colored fish in the world, but lingcod, which are usually brown and white, can sometimes end up quite blue, and not just on the outside.

Drawing curves that fill all of space, and a philosophical take on why mathematics about infinite objects can still be useful in finite contexts.

What is the second derivative? Third derivative? How do you think about these?

Have you ever wondered what the sun is made of? Dr. Cecilia Payne-Gaposhkin wondered that, too, and she used science to figure out the answer! Find out how she did that and more about her amazing life and...

In the final episode of Crash Course Black American History, Clint Smith teaches you about the Black Lives Matter movement. We'll discuss some of the major events that contributed to the rise of BLM, including the deaths of Trayvon...

What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?

Why Does Earth Have Deserts? For the same reason it has Rainforests: Hadley Cells!!!

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.