# Station C**A Sneak Peek at a Weird Machine**

There is an island of weird machines for us to explore later, but why not have a sneak peek at a weird machine right now?

Station C

There is an island of weird machines for us to explore later, but why not have a sneak peek at a weird machine right now?

This is a $2 \leftarrow 3$ machine.

It follows the rule that whenever there are *three dots* in a box, they explode away to be replaced with ** two dots**, one box to their left.

Here are ten dots loaded into a $2 \leftarrow 3$ machine.

What code for ten does the machine give?

Work out the $2 \leftarrow 3$ codes for the numbers one up to twenty (or higher if you like) and record them on a piece of paper.

I have some questions about these codes next.

What patterns do you see in these codes?

Does it make sense that the final digits of the codes cycle $1, 2, 0, 1, 2, 0, ...$?

After a while do all the codes begin with a $2$? Begin with $21$? Begin with … ?

We’ll definitely come back to this weird machine later on!