The book had a mixed reception from contemporary reviewers. Marc H. Bornstein in a review for Leonardo praised the book: "Shubnikov and Koptsik, I find, should stand beside Weyl's classic treatise, Symmetry ". Werner Nowacki wrote a positive review: "This clearly written, beautifully illustrated book will become a standard work for all who are interested in unifying branches of natural sciences and of art, and we must be grateful to the translator, the editor, and the publisher for having produced such a precious publication."