If you haven’t seen it, it is beautifully made Hollywood entertainment with great elements from hyperdimensional physics–it gives a good backdrop as to why we should know about the next few dimensional steps “up.”
A second movie connected with this report is the brilliant documentary Hacking Reality about E8 and the work of Garrett Lisi and Klee Irwin.
And here is an older but still excellent video series on how to visualize higher dimensions: