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Like Life, Rule 110 with a particular repeating background pattern is known to be Turing complete. [2] This implies that, in principle, any calculation or computer program can be simulated using this automaton. An example run of the rule 110 cellular automaton over 256 iterations, starting from a single cell.
Repeated sequences (also known as repetitive elements, repeating units or repeats) are short or long patterns that occur in multiple copies throughout the genome. In many organisms, a significant fraction of the genomic DNA is repetitive, with over two-thirds of the sequence consisting of repetitive elements in humans. [ 1 ]
All tandem repeat arrays are classifiable as satellite DNA, a name originating from the fact that tandem DNA repeats, by nature of repeating the same nucleotide sequences repeatedly, have a unique ratio of the two possible nucleotide base pair combinations, conferring them a specific mass density that allows them to be separated from the rest of the genome with density-based laboratory ...
A tiling that lacks a repeating pattern is called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern (an aperiodic set of prototiles ). A tessellation of space , also known as a space filling or honeycomb, can be defined in the geometry of higher dimensions.
This definition of periodicity can be extended to other geometric shapes and patterns, as well as be generalized to higher dimensions, such as periodic tessellations of the plane. A sequence can also be viewed as a function defined on the natural numbers , and for a periodic sequence these notions are defined accordingly.
The heptad repeat is an example of a structural motif that consists of a repeating pattern of seven amino acids: [1]. a b c d e f g H P P H C P C . where H represents ...
For example, in a 1-dimensional cellular automaton like the examples below, the neighborhood of a cell x i t is {x i−1 t−1, x i t−1, x i+1 t−1}, where t is the time step (vertical), and i is the index (horizontal) in one generation.
In the broadest sense, any regularity that can be explained by a scientific theory is a pattern. As in mathematics, science can be taught as a set of patterns. [28] A recent study from Aesthetics and Psychological Effects of Fractal Based Design [29] suggested that fractal patterns possess self-similar components that repeat at varying size ...