## braille

Here is a good resource for investigating Braille. This is also a nice investigation:

This was a fruitful investigation. We started with finding the number of possible combinations (letters) with 2, then 3, then 4 dots, and tried to find pattern. Students developed their own systems for finding all combinations as you can see below.

It is interesting to draw these combinations as a tree, or by considering them as binary numbers as one student did without being prompted! There were also some interesting discussions around rotation and reflection. This made me think about the counting theorem in group theory, and orbits/stabilizers!

An interesting conversation was why Braille didn't use 5 just dots even though there are 31 possible combinations (punctuation, french accents etc).

We also investigated ways of remembering the braille alphabet... what patterns can you see here? Can you find ways of grouping letters together to help you remember them?

An interesting conversation was why Braille didn't use 5 just dots even though there are 31 possible combinations (punctuation, french accents etc).

We also investigated ways of remembering the braille alphabet... what patterns can you see here? Can you find ways of grouping letters together to help you remember them?

A final link students made was the fact that the number of combinations for each number of dots followed the same pattern as the number of moves required to solve the towers of hanoi problem.