Maths loves symbols. Everyone loves emoji. It’s 2017 and time we brought the two together. To get you started, here are our **top ten emoji for use in mathematics**!

## 10.

Don’t leave home without one: it’s the nifty **45° set square**. What better reminder is there that

$$\sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}, \qquad \cos\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}, \qquad \tan\left(\frac{\pi}{4}\right) = 1 \quad ?$$

## 9.

Perfect for popping over a letter to make it a vector, it’s the **bow and arrow**:

## 8.

You can’t argue with this, it’s the **QED proof square**:

$\displaystyle\implies \Re[s] = \frac{1}{2}$ ◼️

## 7.

Favoured emoji of all academics:

Do a PhD! Earn a massive £16k/year while your friends in the City earn £50k! 💸

## 6.

Invaluable for those stupid Facebook ambiguous arithmetic questions your aunt likes to share every year, it’s the **basic arithmetic operations** which exist in Emoji for some reason despite the fact that they’re in the normal character set anyway:

6 ➖ 1 ✖️ 0 ➕ 2 ➗ 2 = ???

## 5.

Mathematicians’ pens are their only tool. Keep yours locked up to stop petty theft:

Caution! Pen thieves operate in this area 🔏

## 4.

When you’re pretty sure something is true but can’t be bothered to figure out why, tell the reader to use their **thinking face**. Similar to proof by intimidation. Combines well with an implies arrow:

## 3.

Excellent for making up statistics when you can’t be bothered to load up Excel:

As we can see from this very large data set, on average, every colour is green 📊

## 2.

Horrible page of algebra which Wolfram Alpha tells you simplifies to zero? No need to show why, just state the result with **sassy information desk woman**!

$\displaystyle\frac{-x^3 y^5 + x^2 y^3 + x^2 + 7 x y + 9 y^2}{y^2} – \frac{(x+3y)^2}{y^2} – x^2 y + (xy)^3 – \frac{x}{y} = \cdots = 0$ 💁♀️

## 1.

You spin me round, round, baby, right round; left-right and top-bottom. It’s everyone’s favourite embedding of $\mathbb{S}\times\mathbb{S}$: the **torus**!

…something something topology, something something pop maths. 🍩♉️☕️

## 0.

You’ll know when to use it.

🦂