IB Maths Resources from Intermathematics
IB Maths Resources: 300 IB Maths Exploration ideas, video tutorials and Exploration Guides
Weaving a Spider Web II: Catching mosquitoes First I thought I would have another go at making a spider web pattern - this time using Geogebra. I'm going to use polar coordinates and the idea of complex numbers to help this time. Parametrically I will define my dots on my web by: Here r will... Continue Reading →
Complex Numbers as Matrices - Euler's Identity Euler's Identity below is regarded as one of the most beautiful equations in mathematics as it combines five of the most important constants in mathematics: I'm going to explore whether we can still see this relationship hold when we represent complex numbers as matrices. Complex Numbers as Matrices... Continue Reading →
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=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 →