# User Contributed Dictionary

### Pronunciation

### Noun

patterns- Plural of pattern

# Extensive Definition

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. 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
unique 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.## Golden Ratio

The irrational number (approximatey 1.618) is
found frequently in nature. It is referred to as the golden ratio,
and is defined by two numbers, that form a ratio such that (a+b)/a
= a/b (a/b being 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. This is still used by many artist.

## Art

- Impressionism: Pointillism
- Performance Art: Crop circles
- Music: Minimalism

## Science and mathematics

Fractals are mathematical patterns that are scale
invariant. This means that the shape of the pattern does not depend
on how closely you look at it. Self-similarity is found in
fractals. Even though self-similarity in nature is only approximate
and stochastic, integral measures describing fractal properties can
also be applied to natural "fractals". Examples of such are coast
lines and tree shapes, which repeat their shape reguardless of what
magnification you view at. While the outer appearance of
self-similar patterns can be quite complex, the rules needed to
describe or produce their formation
can be extremely simple (e.g. Lindenmayer
systems for the description of tree shapes).

Patterns are common in many areas of mathematics.
Recurring
decimals are one example. These are repeating sequences of
digits which repeat infinitely. For example, 1 divided by 81 will
result in the answer 0.012345679... the numbers 0-9 (except 8) will
repeat forever — 1/81 is a recurring decimal.

In geology, a mineral's crystal structure is
composed of a recurring pattern. In fact, this is one of the 5
requirements of a mineral. Minerals must have a fixed chemical
coposition in a repeating arrangement, such as a crystal matrix.
For a 2-dimensional crystal structure, there are 10 different
planar lattices possible. Moving up to 3 dimensions, 32 patterns
are possible. These are called bravais lattices.

## Geometry

The recurring pattern of regular polygons is called a tessellation. Out of all posible combinations, there are only three posible regular polygons that can complete a repeating pattern. These polygons are squares, triangles, and hexagons. The hexagon is the most stable version for engineering purposes. Any shear stress upon segments of the hexagon series is distibuted over the six points.## Patterns in Pedagogics

## Quotation

- "A pattern has an integrity independent of the medium by virtue of which you have received the information that it exists. Each of the chemical elements is a pattern integrity. Each individual is a pattern integrity. The pattern integrity of the human individual is evolutionary and not static."

- "Art is the imposing of a pattern on experience, and our aesthetic enjoyment is recognition of the pattern."

Mathematics is
commonly described as the "Science of Pattern."

## See also

## External links

patterns in German: Muster (Struktur)

patterns in Persian: الگو

patterns in Irish: Patrún

patterns in Dutch: Patroon (vorm)

patterns in Japanese: パターン

patterns in Portuguese: Padrão

patterns in Simple English: Pattern

patterns in Serbo-Croatian: Uzor

patterns in Vietnamese: Mẫu (dạng
thức)