IB Maths Resources from Intermathematics
IB Maths Resources: 300 IB Maths Exploration ideas, video tutorials and Exploration Guides
https://www.youtube.com/watch?v=FFftmWSzgmk Plotting the Mandelbrot Set The video above gives a fantastic account of how we can use technology to generate the Mandelbrot Set - one of the most impressive mathematical structures you can imagine. The Mandelbrot Set can be thought of as an infinitely large picture - which contains fractal patterns no matter how far... Continue Reading →
https://www.youtube.com/watch?v=7dcDuVyzb8Y The Coastline Paradox and Fractional Dimensions The coastline paradox arises from the difficulty of measuring shapes with complicated edges such as those of countries like the Britain. As we try and be ever more accurate in our measurement of the British coastline, we get an ever larger answer! We can see this demonstrated below:... Continue Reading →
https://www.youtube.com/watch?v=0jGaio87u3A Mandelbrot and Julia Sets - Pictures of Infinity The above video is of a Mandelbrot zoom. This is a infinitely large picture - which contains fractal patterns no matter how far you enlarge it. To put this video in perspective, it would be like starting with a piece of A4 paper and enlarging it... Continue Reading →