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Mechania
Mechania
Mechania

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?

Question 1

This is a 232 \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 232 \leftarrow 3 machine.
What code for ten does the machine give?

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Question 2

Work out the 232 \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.

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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,...1, 2, 0, 1, 2, 0, ... ?
After a while do all the codes begin with a 22? Begin with 2121? Begin with … ?
We’ll definitely come back to this weird machine later on!

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