06 285 000

Station  B
Wild Exploration 

Here are some investigations you might want to explore, or at least think about.
Everything will become clear as we learn more in the next chapters, but you might find it fun to mull on these “big questions” ideas right away.

Question 1

EXPLORATION 1: What are these machines actually doing?

Can you figure out what these machines are actually doing?
Why, in a 1101\leftarrow 10 machine, is the code for two hundred and seventy three "273273"?
Are all the codes for numbers in a 1101\leftarrow 10 sure to be identical to how we normally write numbers?

If we can answer this question for the 1101\leftarrow 10 machine, then can we make sense of all the codes for a 121\leftarrow 2 machine? What does the code 11011101 for the number thirteen mean?

Comment: Of course, we will answer these questions in the next island, Insighto, but it might be rewarding to think about these ideas questions on your own first!

Question 2

Does the order in which one explodes dots seem to matter?

Here are 1919 dots loaded into the rightmost box of a 121 \leftarrow 2 machine.
Try exploding pairs of dots in a haphazard manner: explode a few pairs from the rightmost box, then some from the second box and then some more back from the first box, and some more from the second box, and so on, until you reach a stable code. Then do it again!

Does the same final code of 1001110011 seem to appear each and every time you do this?


You can either play with some of the optional stations below or go to the next island!

Vision byPowered by
Contact GMP:
  • The Global Math Project on Twitter
  • The Global Math Project on Facebook
  • Contact The Global Math Project
Contact BM:
  • Buzzmath on Twitter
  • Buzzmath on Facebook
  • Visit Buzzmath's Website
  • Read Buzzmath's blog!