This book may be of great interest to you:
Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought,
by Tony Robbin. (The link is to Amazon.com where the book is featured, along with the means to "Look Inside"/preview the book.)
A review of that book is available, in pdf format, in the American Mathematical Society Notices, online: Shadows of Reality: Book review
I also came across this pdf of an article Cubism and the Fourth Dimension, by Elijah Bodish (University of Montana) published in TMME vol6, no.3, start p .527. At the bottom of the post is an example of cubism, and is discussed in the article. (For the OP: if it's nothing you already don't know, sorry about that). I found this to be particularly relevant given the article's opening statement (here, cut short):
When one looks into the subject of geometries that attempt to explain fourth dimensional
space, it is inevitable that one encounters references to Cubism. The purpose of this paper is to find what the similarities between this mathematical concept and cubism are.... It is important to see how the two fields are interrelated in order to gain a better understanding of both fields, in this case art and geometry." (Elijah Bodish)
The following are some of the references listed in the paper linked above:
Anderson, Kirsti. The Geometry of an Art. Springer Science and Business Media, New York, New York, 2007.
Cabanne, Pierre. Cubism. Finest S.A./Editions Pierre Terrail, Paris, France, 2001.
Golding, John. Cubism: A History and an Analysis. Harper & Row, Publishers, Inc., St 1968.
Henderson, Linda Dalrymple. The Fourth Dimension and Non-Euclidean Geometry in Modern Art. Princeton University Press, Princeton, New Jersey, 1983.
Ivins Jr., William M. Art & Geometry: A Study in Space Intuitions. HarvardUniversity Press, Cambridge, Massachusetts, 1946.
Robbin, Tony. Shadows of Reality. Yale University Press, New Haven, 2006. Stokstad, Marilyn. Art History. Harry N. Abrams, Inc., New York, New York, 2002.
Exemplar, for your viewing pleasure::
Marcel Duchamp. “Nude Descending a Staircase #2.” Oil on canvas, 1912. (Cabanne 85).