Light Reflecting Inside a 7 Dimensional Box #some2

This is my submission for The Summer of Math Exposition 2. This question has a really elegant visual solution. All the animations were created using the Manim Community version. More details about The Summer of Math Exposition 2 (#SoME2) by 3Blue1Brown are available here: The codes for all the animations are available here: The question in the video is the 19th question from the open round of the Online Physics Olympiad OPhO 2022: OPHO Home page: Question paper: Their YouTube: @Physoly Timestamps: 0:00 The Question 1:30 Hint 3:52 Thinking Outside the Box 5:55 N=2 8:10 What about N? 9:48 Three Dimensions 10:48 d Dimensions I recorded my audio using Audacity, a free, open-source audio editor. It is a really powerful software and has a lot of tools for free! It helped me get this audio quality (I know it’s still not that great) with my headphone mic. If you want to use Audacity, this is hands down the best tutorial video for it: To make the video, I used the video editor in Blender, which was probably not the best, but hey, it’s a free video editor. I used Manim to make individual clips, stitched them together in Blender, and adjusted the timings according to my audio using still frames. If you know a better way to make these types of videos, please let me know in the comments. Thank you for watching, and please like and subscribe if you enjoyed the video. #some2