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the problem of the day is not a hard one to express we have two shapes and we want to answer the following question do these shapes intersect at first glance this problem doesnamp;#39;t seem that hard since most of the time itamp;#39;s easy for us to visually see an intersection but just because a question is easy to verify doesnamp;#39;t mean itamp;#39;s easy to solve for a computer what makes this problem challenging is we want to be able to handle all sorts of shapes sizes and orientations an algorithm that works on two polygons may not necessarily work when one of those shapes is a circle with no defined edges or vertices and even if you can figure out some way to handle that iamp;#39;m willing to bet that any initial solution you have for simple shapes will break down when you are to deal with weird shapes like this one we are going to use this problem to motivate a really elegant and useful algorithm called the gilbert johnson karate algorithm or gjk there are other ways to
