1. West Wallsend High School Visit September 24 th 2010 West Wallsend High School Visit Presentation by Jon Borwein, Director Centre for Computer Assisted Research Mathematics and its Applications DOWNLOAD THIS PRESENTATION AT http://carma.newcastle.edu.au/outreach/

2. Fractals Everywhere What is a FRACTAL? – An image or curve which looks the same as you zoom in and out What are some examples? – In software – On the internet – With paper,pencil, scissors What are FRACTALS good for? – Scientific modelling: plant growth, viruses, erosion, … – Storage and bandwidth: send the menu not the meal – Art: movie forests, crowds, …. Mandelbrot Set Jon Fractal DOWNLOAD THIS PRESENTATION AT http://carma.newcastle.edu.au/outreach/

3. From Blaise Pascal (1623- 1662) to Sierpinski (1888-1969), Julia, Fatou and Benoit Mandelbrot (1924 - ) Self-Similarity Everywhere ‘cut and fold, cut and fold’ Truly modern mathematics in nature, art and applications DOWNLOAD THIS PRESENTATION AT http://carma.newcastle.edu.au/outreach/

4. www.cecm.sfu.ca/interfaces 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 21 7 1 Modulo 5 Real and Imaginary Deterministic and Random DOWNLOAD THIS PRESENTATION AT http://carma.newcastle.edu.au/outreach/

5. How to create fractals in a program like fractalina math.bu.edu/DYSYS/applets/fractalina.html the chaos game math.bu.edu/DYSYS/applets/chaos-game.html math.bu.edu/DYSYS/applets/chaos-game.html reflection in more points (AARMS) The fern leaf fractal FRACTALINA DOWNLOAD THIS PRESENTATION AT http://carma.newcastle.edu.au/outreach/

6. Chaos Games in Genetics Played with genetic rules on a square with Amino acids A, G, C and T DOWNLOAD THIS PRESENTATION AT http://carma.newcastle.edu.au/outreach/

7. Links for school and fun? Pascal Triangle – its Sierpinski triangles Sierpinski Triangle – randomly built Sierpinski Carpet – squares, squares, … Mandelbrot Set – how it is built Super Fractals – Michael Barnsley’s (ANU) site The Experimental Mathematics site The Experimental Mathematics – many more links Fractal Cards – how to make them how to make them Genetic Chaos Games – and FractalinaFractalina Wilsons promontory (Va) THANK YOU! DOWNLOAD THIS PRESENTATION AT http://carma.newcastle.edu.au/outreach/