What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

The world is full of colors. Almost all of them can be described by a wavelength of visible light, but there are some colors out there that are just in your head!

A beautiful solution to the Basel Problem (1+1/4+1/9+1/16+...) using Euclidian geometry. Unlike many more common proofs, this one makes it very clear why pi is involved in the answer.

Since eye color is determined by chemical and structural differences in the eye, it seems logical that different eye colors see the world in different ways.

The math of backpropagation, the algorithm by which neural networks learn.

Some people have more taste buds than the rest of us. They're called supertasters, and they can taste things others can't.

At TED2009, Tim Berners-Lee called for "raw data now" -- for governments, scientists and institutions to make their data openly available on the web. At TED University in 2010, he shows a few of the interesting results when the data gets...

Have you ever had a great idea or a burst of insight while taking a shower? Well, it turns out that shower thoughts are more than just an internet phenomenon, and understanding them better can help us harness their power for good!

Fluorescent molecules are useful for a lot more than just making you look cool at your local rave. Fluorescence turns out to be a kind of chemical superpower that lets us tackle all kinds of problems, from solving crimes to saving lives!

On July 14, 2015, New Horizons flew by Pluto. Scientists have used the data from the mission so far to uncover active geology, an enormous canyon, a unique case of chemical coloration, and more. What else might we discover as we venture...

The introduction to a series on visualizing core ideas of linear algebra.

People and dogs have been best buddies for, like, 15,000 years, but there are still some things we don't know about them! That's why SciShow has put together this handy compilation answering some of the common questions we all have about...

What color is your blood. Red, right? Well, actually, yes. So why does it look blue when you see it through your skin? And is everyone's blood always the same color red (spoiler: no)? Do all animals have red blood ('nother spoiler: no!)?...

Welcome to SciShow Quiz Show, where SciShow Space co-hosts Hank and Reid are back for another round!

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.

Why is the Sun Yellow and the Sky Blue

It has been two years since "The Dress" divided the internet. A Japanese psychology professor created the new mind-boggling image that has been making the rounds on the internet. Meanwhile, the new study shows the truth about sex...

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

Movies are really good at making us feel. Happy, sad, excited, etc... Part of that is because they use so many different types of media all at once. Photography, music, performance, and editing all play into their ability to communicate...

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...

If you played NES, you did it too. Did it work?

Researchers have an idea about how your lifestyle affects the way you see the dress, and we've identified a new ancestor to the dinosaurs!

How much land mass would renewables need to power a nation like the UK? An entire country's worth. In this pragmatic talk, David MacKay tours the basic mathematics that show worrying limitations on our sustainable energy options ... and...

In this visually dazzling talk, Jonathan Drori shows the extraordinary ways flowering plants -- over a quarter million species -- have evolved to attract insects to spread their pollen: growing 'landing-strips' to guide the insects in,...