A pattern is a discernible regularity in the world or in a manmade design. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design.
A surface, as the term is most generally used, is the outermost or uppermost layer of a physical object or space. It is the portion or region of the object that can first be perceived by an observer using the senses of sight and touch, and is the portion with which other materials first interact. The surface of an object is more than "a mere geometric solid", but is "filled with, spread over by, or suffused with perceivable qualities such as color and warmth".
Pattern is a word that is synonymous with schemas (and their dynamic). They are the customary and often repeated way that a person behaves.
Gerald J. Mozdzierz, et al.,, in “Principles of Counseling and Psychotherapy: Learning the Essential Domains and Nonlinear Thinking of Master Practitioners”, p. 447
12:45, Restate my assumptions: 1. Mathematics is the language of nature. 2. Everything around us can be represented and understood through numbers. 3. If you graph the numbers of any system, patterns emerge. Therefore: There are patterns everywhere in nature.
Darren Aronofsky, in lines for "Maximillian Cohen" in π (1998)
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