The first part of an investigation into how to represent numbers
using geometric transformations that ultimately leads us to
discover numbers not on the number line.
Introduces the idea of a twizzle to represent number and asks how
one can use this representation to add and subtract geometrically.
How can you use twizzles to multiply and divide?
When you trace out a loop with the blue z twizzle, what determines how many
times the grey (z-i)(z+i)
twizzle winds around its zero spot?