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17 Mathematical GIFs That Are Deeply Soothing

Therapeutic geometry porn.

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1. Breaking down the surface area of a sphere.

Twitter: @ThingsWork

It all makes sense now.

2. How sine and cosine are related in 3D coordinates.

Watch them merge to form a flawless spiral.

3. Creating the perfect ellipse.

All you need is a piece of string and you, too, can do this at home.

4. Connecting the squares.

Twitter: @solvemymaths

Who said maths wasn't art?

5. Creating a perfect cardioid.

Twitter: @pickover

In which circles are actually black magic.

6. How a straight line can trace a hyperboloid.

It almost feels like it shouldn't abide by the laws of physics.

7. The infinite cube loop.

Twitter: @solvemymaths

If you ever wanted to feel small in the great abyss.

8. The relationship between sine and cosine.

Twitter: @solvemymaths

They're so wonderfully in sync.

9. And how triangles relate to sine and cosine.

Like a perfectly oiled machine.

10. Removing each digit of this number always leaves a prime number.

Twitter: @solvemymaths

Naturally, the actual most badass number.

11. The derivative of an exponential curve.

Twitter: @matthen2

It moves so smoothly.

12. The infinite square.

Perfect to sit back with a cup of tea, and watch for an hour.

13. Visualising the transpose of a matrix.

Twitter: @solvemymaths

Because everything in maths is symmetrical and beautiful.

14. The mesmerising representation of a Villarceau circle (two perfect circles).

When will your favourite doughnut supplier make them as beautiful as this?

15. Approximating definite integrals.

Your maths teacher was holding out on you if you weren't shown this.

16. Visualising the tangent.

Twitter: @solvemymaths

It explains so much.

17. And everything you've ever asked yourself about trigonometry.

Which is probably a lot.