CONTENTS
	Title Page  Prologue	_	_
.	1.  Creating the images	_	Turtle graphics; Programming languages
.	2.  How long is a piece of string?	_	Koch Island; Perimeter
.	3.  Infinite coastline	_	Minkowski Island; Area, perimeter, isoperimetric problem
.	4.  Tale of the dragon	_	Dragon curve; Experiment, conjecture, proof
.	5.  How many holes has a sieve?	_	Sierpinski Sieve; Pascal's triangle, binomials, modulus
.	6.  A Mad Hatter's three party	_	Ternary tree; Number base
.	7.  A meeting of squares	_	Pythagorean Trees; Pythagoras’ Theorem, Triples
.	8.  Blurred dimensions	_	Peano Curve; Dimension
.	9.  A magic carpet ride	_	Sierpinski Carpet, Menger Sponge; Induction, recursion
.	10. The attraction of attractors	_	Sierpinski Sieve, attractors, IFS; Limits, mappings
.	11. Predictable dice	_	Sierpinski Sieve IFS; Probability, random numbers, IFS
.	12. Endless complexity	_	Mandelbrot Set; Complex numbers
.	13. A catalogue of chaos	_	Julia Sets; Coordinate systems, more complex numbers