Henry Segerman shows us shadows (and dust) from the fourth dimension!
More links & stuff in full description below ↓↓↓
Dr Segerman is an assistant professor in the Department of Mathematics at Oklahoma State University.
More Numberphile with him: http://bit.ly/Segerman_Videos
Polytopes in the fourth dimension on Numberphile: https://youtu.be/2s4TqVAbfz4
Henry's website: http://www.segerman.org
(this includes his book, an online version of the monkey animations, and links to buy and print the models he demonstrates)
Discuss this video on Brady's subreddit: https://redd.it/6heiut
This video was filmed during a visit by Henry to the Mathematical Sciences Research Institute (MSRI), which supports Numberphile: http://bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.
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More reading: "The quaternion group as a symmetry group", by Vi Hart and Henry Segerman, http://archive.bridgesmathart.org/2014/bridges2014-143.html
With thanks to Will Segerman who also worked on the 4D monkey sculptures.