If Mathematics is the science of patterns, two noteworthy references
substantiate that claim, while many others lend it some credibility.
One can begin with those references, namely, Devlin, K., Mathematics:
The Science of Patterns, NY: W. H. Freeman and Co., 1994,nd
Steen, L. A.,
"The Science of Patterns," Science, pp. 611-616, 29 April 1988.
There are many overlaps between
mathematical research and expository use of images, graphics, and
visual patterns. Two of the best such sources are:
Nelsen, Roger B., Proofs Without Words, The Mathematical Association of
America, 1993; and his similar book (volume II, 2000). But one should be
aware of the connection between image pattern in Golomb, S., Polyominoes
[with more than 190 diagrams by W. Lushbaugh, NY: Charles Scribner's
Sons, 1965]; Second Edition, Princeton NJ: Princeton Univ. Press, 1994,
and codes for transmission of spacecraft images to earth.
Finally one must say that such efforts as Grenander, U., General
Pattern Theory, Oxford Univ. Press, 1993 and Polya, G., Patterns
of Plausible Inference, Second Edition, Princeton Univ. Press, 1968,
constitute integral parts of Pattern Analysis.