Copyright © University of Cambridge. All rights reserved.

## 'Twizzle Twists' printed from http://nrich.maths.org/

Make sure you've tackled

Twizzle Wind Up before trying this problem.

In each of these animations the grey

w twizzle is related to the blue

z twizzle. As usual, you
can change the value of the blue

z twizzle by moving its number arrow
head. This will make the value of the grey

w twizzle change too.

In each of these questions your task is to discover a formula for

w in terms of

z .

[For example, it might be

w=z^{2} +z+4 or or

w=(z-1)(z-3) or

w=z^{3} -8.
]

There's some useful help in the

hints which will get you started, but play and think first!

Switch on tracing and turn

z around its spot in a big loop. Watch
how

w behaves as as you do
this.

Try this with smaller and smaller loops.

Q1:

Full Screen Version
**If you can see this message Flash may not be working in your browser**
**Please see http://nrich.maths.org/techhelp/#flash to enable it.**
Q2:

Full Screen
Version
**If you can see this message Flash may not be working in your browser**
**Please see http://nrich.maths.org/techhelp/#flash to enable it.**
Q3:

Full Screen Version
**If you can see this message Flash may not be working in your browser**
**Please see http://nrich.maths.org/techhelp/#flash to enable it.**