A few more extensions of the idea, not all of which have much to do with Hinton’s concepts beyond the name.
Salvador Dalí with hypercube (1952). Photo by Francesc Català-Roca.
Hypercubic Metropolis (2002) by Peter Gric.
HyperCube (2012) is an installation by artist Jaap van den Elzen and sound composer Augusto Meijer which combines the mirror room familiar from the work of Yayoi Kusama with changeable lighting and sound effects. See also Cube 2: Hypercube (2002) which concerns a group of people imprisoned in a tesseract.