Pick any natural number (whole numbers ≥ 1)

Follow this pattern:

- If the number is even, divide by two (n/2).
- If the number is odd, multiply by three and add one (3n+1).
- Repeat until you reach the number one
This is called the Collatz Conjecture, an unsolved problem in mathematics, that states that for any natural number you start off with, you will eventually get to one by following this process.

It’s also a great way to kill time.

### THE TEN COMMANDMENTS OF MATHEMATICS

1: Thou shalt not divide by zero

2: Thou must show thy work

3: Thou must do unto one side of the equation what thou dost unto the other

4: Thou shalt not forget to carry the 1

5: Thou must honour the order of operations

6: Thou must flex the hexaflexagon with caution and never to cause hexaflexaperplexia

7: Thou must properly indicate ye unit of measurement, lest ruin befall thee

8: Thou must set thy calculator to radians or degrees, as is fit for the situation

9: Thou must sketch and graph as the situation demands

10: Thou shall not apply the commutative property to non-commutable groups

(a collaboration between grumpyotter, 14-inox and myself)

(via minutemath)