I was really happy to see Mathematica in Arrival - screen at 52:10 (link to full image)
Just for fun :-)
Have you seen this blog post: Quick, How Might the Alien Spacecraft Work? by Stephen Wolfram ?
Also this screencast: The Code Behind Arrival (The Movie) by Christopher Wolfram and this GitHub repo:
I have not seen this before - links provided by you contains fantastic materials!