Systems of equations often, but not always, lead to intersection points.
In two dimensions, the Voronoi diagram allows us to navigate, path-find or establish an optimum position.
Which Ice Cream truck is closest? How can this be determined in a geometrical way?
https://www.geogebra.org/m/Df6h3Kgh
You are in New York’s Central Park and there are two ice-cream stands that you could go to for some refreshments.
You are to research how Voronoi diagrams are used to determine mathematically which one is closest.
What would be the best place to put an additional ice-cream stand so it takes up the most available space?
Inherently this has to do with much bigger questions such as: “How do navigation apps determine the shortest route” or “Where best to store toxic waste as far as possible from surrounding cities”.
Tasksheet included