The author adopts an unconventional algorithmic approach to generating the line and plane groups based on the concept of "rotocenter" (the invariant point of a rotation).

Loeb's synthetic approach does not enable a comparison of colour symmetry concepts and definitions by other authors, and it is therefore not surprising that the number of polychromatic patterns he identifies are different from that published elsewhere.

Unusually, the author does not state the target audience for his book; his publisher, in their dust jacket blurb, say "Color and Symmetry will be of primary interest on the one hand to crystallographers, chemists, material scientists, and mathematicians.

On the other hand, this volume will serve the interests of those active in the fields of design, visual and environmental studies and architecture."

[1] Michael Holt in his review for Leonardo said: "In this erudite and handsomely presented monograph, then, designers should find a rich source of explicit rules for pattern-making and mathematicians and crystallographers a welcome and novel slant on symmetry operations with colours.

Donney in a review for Physics Today said: "This book should prove useful to physicists, chemists, crystallographers (of course), but also to decorators and designers, from textiles to ceramics.

"[5] The author's idiosyncratic approach was not adopted by researchers in the field, and later assessments of Loeb's contribution to color symmetry were more critical of his work than earlier reviewers had been.