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I feel that highlighting fortunes algorithm when giving an overview of plane sweep is unfortunate. When entering the page, being introduced to parabolas is misleading since it's one of the more complex applications of the algorithm.
My suggestion is to introduce the algorithm with a problem that does not have a need for a trailing line but a problem such as intersecting lines.
It might be bad mannered just offering a solution, but I'm not well versed enough to create the edit myself
