This website includes an introduction to how bubbles can be used to solve a mathematical problem in optimization, known as the Steiner Problem. The aim in this problem is to find the shortest way of connecting together n points (which could denote towns or cities) positioned on a plane. To solve the problem, we will make connections with another problem in which we find minimal surfaces (e.g using bubbles). The website includes two sets of exercises, the first is aimed at learners in years 10-11 while the second is aimed at learners in years 12-13. The first set of exercises mainly involves geometrical calculations (in particular trigonometric calculations), while the second set also includes exersises in finding limits and differentiation.
Mathematics with Bubbles
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