Where we follow twizzles to places that no number has been before.
Arrow arithmetic, but with a twist.
A loopy exploration of z^2+1=0 (z squared plus one) with an eye on winding numbers. Try not to get dizzy!
Make the twizzle twist on its spot and so work out the hidden link.
Add powers of 3 and powers of 7 and get multiples of 11.
When is $7^n + 3^n$ a multiple of 10? Can you prove the result by two different methods?
Investigate powers of numbers of the form (1 + sqrt 2).