What does a heart's sine function look like?

In high school, you probably learned that trigonometric functions – like sine, cosine and tangent –can be derived, geometrically, from a circle (hence why trig functions are also known as "circular" functions). But what happens if you use a square to derive these functions, instead? Or a triangle? Or a heart?

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Whimsical, animal-filled illustrations of mathematical concepts

Kasia Jackowska's Drawing Mathematics series takes an unusually adorable approach to illustrating mathematical concepts. The Pythagorean Theorem and Sierpinski triangles are conveyed through drawings of elephants, snakes, and deer.

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How Bayes’ Rule Can Make You A Better Thinker

Having a strong opinion about an issue can make it hard to take in new information about it, or to consider other options when they're presented. Thankfully, there’s an old rule that can help us avoid this problem — and even help us make good decisions when we’re uncertain. Here’s how Bayesian Reasoning works, and why…

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These portraits were drawn with mathematical equations

WolframAlpha has compiled a growing list of portraits of iconic figures drawn by parametric functions. Some of them are surprisingly good – though, as Joe Hanson points out, there's a decent chance these functions are being churned out by a computer instead of an actual person, seeing as they are OBSCENELY complex. (

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The science of swarms will blow your mind

Here are two things you should do immediately. One: watch this. It's a jaw-dropping video of starlings in flight that will straight up give you chills. The swirling cloud of birds is called a "murmuration," and it's just one example of how animals in very large groups can engage in remarkably coordinated collective…

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It turns out being a Redshirt is less perilous than you think

A recent still from Star Trek: Into Darkness shows Benedict Cumberbatch surrounded by redshirts. This, we surmised, could only mean one thing. Anyone with a hint of SF-savvy knows that the grisly fate of a Starfleet crew member clad in crimson is as certain as Cumbermouth's tubercle is sharply defined; in the Star Trek

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