Exploration 1 – starting point
Imagine that you had a string of twist and lock blocks five cubes long. How many different shapes can you make? How do you know you have them all?

Exploration 2 – starting point
In this picture the string of cubes starts on the number 1 and ends on the number 2. Are there other ways you can arrange the string so that it starts on 1 and ends on 2 (or any other pair of adjacent squares)?

Exploration 3 – starting point
In this picture the string starts on 1 and ends on 35. A difference of 34. What is the largest difference you can make? What is the smallest? Can you make all the differences in between?
