Pattern
Cf.
Definitions
Pattern is a regularity, an emergent distinguishable feature.
Physical, mathematical, biological, social and other processes lead to the formation of patterns (or traces) in living and abiotic systems.
Mathematics (statistics, probability, geometry, etc.), data mining, feature recognition, learning, data science, modelling and simulation, etc. are all about working with patterns.
"Mathematics is the science of patterns. The mathematician seeks patterns in number, in space, in science, in computers, and in imagination. Mathematical theories explain the relations among patterns; functions and maps, operators and morphisms bind one type of pattern to another to yield lasting mathematical structures.Applications of mathematics use these patterns to "explain" and predict natural phenomena that fit the patterns. Patterns suggest other patterns, often yielding patterns of patterns. In this way mathematics follows its own logic, beginning with patterns from science and completing the portrait by adding all patterns that derive from the initial ones."
Steen, Lynn Arthur. “The Science of Patterns.” Science 240, no. 4852 (1988): 611–16. https://doi.org/10/b9fmhc.
Patterns in living nature
Examples of patterns in nature, including the golden spiral, the golden ratio and fractal self-similar structures. From left to right, (a) a nautilus shell, a galaxy, a sunflower, a desert plant; (b) a storm formation, a fern bud, an ocean wave, a finger print; (c) fractal properties in a branched tree, a leaf, river bed formation, a cast of human lungs. Source
Observe recurrence of come patterns in different living organisms, the objects they make and abiotic structures. The Science Behind Nature's Patterns
References
Roudavski, Stanislav. “Towards Morphogenesis in Architecture.” International Journal of Architectural Computing 7, no. 3 (2009): 346–74. https://doi.org/10/bb5dfz.
Lecointre, Guillaume, Annabelle Aish, Nadia Améziane, Tarik Chekchak, Christophe Goupil, Philippe Grandcolas, Julian F. V. Vincent, and Jian-Sheng Sun. “Revisiting Nature’s ‘Unifying Patterns’: A Biological Appraisal.” Biomimetics 8, no. 4 (2023): 362. https://doi.org/10/nc7n.