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Patterns
A pattern, from the French patron, is a theme of reoccurring events or objects, sometimes referred to as elements of a set. These elements repeat in a predictable manner. more...
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It can be a template or model which can be used to generate things or parts of a thing, especially if the things that are created have enough in common for the underlying pattern to be inferred, in which case the things are said to exhibit the pattern. Pattern matching is the act of checking for the presence of the constituents of a pattern, whereas the detecting for underlying patterns is referred to as pattern recognition. The question of how a pattern emerges is accomplished through the work of the scientific field of pattern formation. Patterns are also related to repeated shapes or objects, sometimes referred to as elements of the series. Some patterns (for example, many visual patterns) may be directly observable, such as simple decorative patterns (stripes, zigzags, and polka-dots). Others can be more complicated, such as the regular tiling of a plane, echos, and balanced binary branching.
The most basic patterns are based on repetition and periodicity. A single template, or cell, is combined with duplicates without change or modification. For example, in aviation, a "holding pattern" is a flight path which can be repeated until the aircraft has been granted clearance for landing.
Pattern recognition is more complex when templates are used to generate variants. For example, in English, sentences often follow the "N-VP" (noun - verb phrase) pattern, but some knowledge of the English language is required to detect the pattern. Computer science, ethology, and psychology are fields which study patterns.
In addition to static patterns, Simple Harmonic Oscillators produce repeated patterns of movement.
Computer Science
Theory of Computation attempts to grasp the patterns that appear within the logic of computer science. Since efficiency is extremely important when executing a command, minimizing a pattern into its most basic form becomes evermore necessary.
Pattern matching;
Design patterns;
Architectural Pattern;
Regular expressions;
Golden Ratio
The golden ratio, (approximately 1.6180339887), occurs frequently in the natural world. Two numbers a and b keep the golden ratio when (a+b)/a = a/b, in this case a/b equals the golden ratio. It has a direct relationship to the Fibonacci numbers. This pattern was exploited by Leonardo da Vinci in his art. The Fibonacci pattern has a closed-form expression. These patterns can be seen in nature, from the spirals of flowers to the symmetry of the human body (as expressed in Da Vinci's Vitruvian Man, one of the most referenced and reproduced works of art today.
Read more at Wikipedia.org
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