IB Maths Resources from Intermathematics
IB Maths Resources: 300 IB Maths Exploration ideas, video tutorials and Exploration Guides
Sphere packing problem: Pyramid design Sphere packing problems are a maths problems which have been considered over many centuries - they concern the optimal way of packing spheres so that the wasted space is minimised. You can achieve an average packing density of around 74% when you stack many spheres together, but today I want to... Continue Reading →
Tetrahedral Numbers - Stacking Cannonballs This is one of those deceptively simple topics which actually contains a lot of mathematics - and it involves how spheres can be stacked, and how they can be stacked most efficiently. Starting off with the basics we can explore the sequence: 1, 4, 10, 20, 35, 56.... These are... Continue Reading →