Shawn Levy is adapting the film, directed by Nic Mathieu and script will be written by Eric Heisserer.
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The phenomenon of Heptapod B is explained by the alien's understanding of mathematics and Fermat's principle of least time.
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The speculative fiction writer, Ted Chiang, has a story, Story of Your Life, that contains visual depictions of Fermat's Principle along with a discussion of its teleological dimension.