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67 relations: Alphabet, Anabaena, Aristid Lindenmayer, Artificial life, Arto Salomaa, Axiom, Bacteria, Biologist, Botany, Cantor set, Chomsky hierarchy, Context-free grammar, Context-sensitive grammar, Digital morphogenesis, Dragon curve, Evolution, Fibonacci number, Formal grammar, Formal language, Fractal, Fractint, Fungus, Genetic algorithm, Genotype, Golden ratio, Grzegorz Rozenberg, Hilbert curve, Inkscape, Iterated function system, Java applet, Koch snowflake, Kolam, Law of identity, Lévy C curve, Line segment, Locally catenative sequence, Logo (programming language), Morphic word, Open-source model, Peano curve, Penrose tiling, Plant development, Probabilistic context-free grammar, Probability, Production (computer science), Przemysław Prusinkiewicz, Randomness, Real number, Recursion, Rewriting, ..., Self-similarity, Semi-Thue system, Sierpiński arrowhead curve, Sierpinski triangle, Source code, Space-filling curve, SpeedTree, Sphinx tiling, Stack (abstract data type), Stochastic grammar, String (computer science), The Algorithmic Beauty of Plants, Thue–Morse sequence, Tuple, Turtle graphics, Utrecht University, Yeast. Expand index (17 more) »
Alphabet
An alphabet is a standard set of letters (basic written symbols or graphemes) that is used to write one or more languages based upon the general principle that the letters represent phonemes (basic significant sounds) of the spoken language.
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Anabaena
Anabaena is a genus of filamentous cyanobacteria that exist as plankton.
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Aristid Lindenmayer
Aristid Lindenmayer (17 November 1925 – 30 October 1989) was a Hungarian biologist.
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Artificial life
Artificial life (often abbreviated ALife or A-Life) is a field of study wherein researchers examine systems related to natural life, its processes, and its evolution, through the use of simulations with computer models, robotics, and biochemistry.
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Arto Salomaa
Arto K. Salomaa (born 6 June 1934) is a Finnish mathematician and computer scientist.
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Axiom
An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
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Bacteria
Bacteria (common noun bacteria, singular bacterium) is a type of biological cell.
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Biologist
A biologist, is a scientist who has specialized knowledge in the field of biology, the scientific study of life.
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Botany
Botany, also called plant science(s), plant biology or phytology, is the science of plant life and a branch of biology.
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Cantor set
In mathematics, the Cantor set is a set of points lying on a single line segment that has a number of remarkable and deep properties.
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Chomsky hierarchy
In the formal languages of computer science and linguistics, the Chomsky hierarchy (occasionally referred to as Chomsky–Schützenberger hierarchy) is a containment hierarchy of classes of formal grammars.
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Context-free grammar
In formal language theory, a context-free grammar (CFG) is a certain type of formal grammar: a set of production rules that describe all possible strings in a given formal language.
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Context-sensitive grammar
A context-sensitive grammar (CSG) is a formal grammar in which the left-hand sides and right-hand sides of any production rules may be surrounded by a context of terminal and nonterminal symbols.
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Digital morphogenesis
Digital morphogenesis is a type of generative art in which complex shape development, or morphogenesis, is enabled by computation.
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Dragon curve
A dragon curve is any member of a family of self-similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems.
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Evolution
Evolution is change in the heritable characteristics of biological populations over successive generations.
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Fibonacci number
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones: Often, especially in modern usage, the sequence is extended by one more initial term: By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.
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Formal grammar
In formal language theory, a grammar (when the context is not given, often called a formal grammar for clarity) is a set of production rules for strings in a formal language.
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Formal language
In mathematics, computer science, and linguistics, a formal language is a set of strings of symbols together with a set of rules that are specific to it.
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Fractal
In mathematics, a fractal is an abstract object used to describe and simulate naturally occurring objects.
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Fractint
Fractint is a freeware computer program that can render and display many kinds of fractals.
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Fungus
A fungus (plural: fungi or funguses) is any member of the group of eukaryotic organisms that includes microorganisms such as yeasts and molds, as well as the more familiar mushrooms.
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Genetic algorithm
In computer science and operations research, a genetic algorithm (GA) is a metaheuristic inspired by the process of natural selection that belongs to the larger class of evolutionary algorithms (EA).
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Genotype
The genotype is the part of the genetic makeup of a cell, and therefore of an organism or individual, which determines one of its characteristics (phenotype).
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Golden ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
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Grzegorz Rozenberg
Grzegorz Rozenberg (born 14 March 1942, Leninsk, Russia) is a Polish Dutch computer scientist.
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Hilbert curve
A Hilbert curve (also known as a Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891, as a variant of the space-filling Peano curves discovered by Giuseppe Peano in 1890.
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Inkscape
Inkscape is a free and open-source vector graphics editor; it can be used to create or edit vector graphics such as illustrations, diagrams, line arts, charts, logos and complex paintings.
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Iterated function system
In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting fractals are often self-similar.
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Java applet
A Java applet was a small application that is written in the Java programming language, or another programming language that compiles to Java bytecode, and delivered to users in the form of Java bytecode.
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Koch snowflake
The Koch snowflake (also known as the Koch curve, Koch star, or Koch island) is a mathematical curve and one of the earliest fractal curves to have been described.
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Kolam
Kolam is a form of drawing that is drawn by using rice flour/chalk/chalk powder/rock powder often using naturally/synthetically colored powders in the Indian states of Tamil Nadu, Karnataka, Telangana, Andhra Pradesh, Kerala and some parts of Goa, Maharashtra as well as Indonesia, Malaysia, Thailand and a few other Asian countries.
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Law of identity
In logic, the law of identity states that each thing is identical with itself.
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Lévy C curve
In mathematics, the Lévy C curve is a self-similar fractal that was first described and whose differentiability properties were analysed by Ernesto Cesàro in 1906 and Georg Faber in 1910, but now bears the name of French mathematician Paul Lévy, who was the first to describe its self-similarity properties, as well as to provide a geometrical construction showing it as a representative curve in the same class as the Koch curve.
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Line segment
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.
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Locally catenative sequence
In mathematics, a locally catenative sequence is a sequence of words in which each word can be constructed as the concatenation of previous words in the sequence.
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Logo (programming language)
Logo is an educational programming language, designed in 1967 by Wally Feurzeig, Seymour Papert and Cynthia Solomon.
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Morphic word
In mathematics and computer science, a morphic word or substitutive word is an infinite sequence of symbols which is constructed from a particular class of endomorphism of a free monoid.
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Open-source model
The open-source model is a decentralized software-development model that encourages open collaboration.
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Peano curve
In geometry, the Peano curve is the first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890.
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Penrose tiling
A Penrose tiling is an example of non-periodic tiling generated by an aperiodic set of prototiles.
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Plant development
Plants produce new tissues and structures throughout their life from meristems located at the tips of organs, or between mature tissues.
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Probabilistic context-free grammar
Grammar theory to model symbol strings originated from work in computational linguistics aiming to understand the structure of natural languages.
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Probability
Probability is the measure of the likelihood that an event will occur.
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Production (computer science)
A production or production rule in computer science is a rewrite rule specifying a symbol substitution that can be recursively performed to generate new symbol sequences.
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Przemysław Prusinkiewicz
Przemysław (Przemek) Prusinkiewicz is a Polish computer scientist who advanced the idea that Fibonacci numbers in nature can be in part understood as the expression of certain algebraic constraints on free groups, specifically as certain Lindenmayer grammars.
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Randomness
Randomness is the lack of pattern or predictability in events.
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Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
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Recursion
Recursion occurs when a thing is defined in terms of itself or of its type.
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Rewriting
In mathematics, computer science, and logic, rewriting covers a wide range of (potentially non-deterministic) methods of replacing subterms of a formula with other terms.
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Self-similarity
In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e. the whole has the same shape as one or more of the parts).
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Semi-Thue system
In theoretical computer science and mathematical logic a string rewriting system (SRS), historically called a semi-Thue system, is a rewriting system over strings from a (usually finite) alphabet.
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Sierpiński arrowhead curve
The Sierpiński arrowhead curve is a fractal curve similar in appearance and identical in limit to the Sierpiński triangle.
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Sierpinski triangle
The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles.
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Source code
In computing, source code is any collection of code, possibly with comments, written using a human-readable programming language, usually as plain text.
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Space-filling curve
In mathematical analysis, a space-filling curve is a curve whose range contains the entire 2-dimensional unit square (or more generally an n-dimensional unit hypercube).
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SpeedTree
SpeedTree is a group of vegetation programming and modeling software products developed and sold by Interactive Data Visualization, Inc.
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Sphinx tiling
In geometry, the sphinx tiling is a tessellation of the plane using the "sphinx", a pentagonal hexiamond formed by gluing six equilateral triangles together.
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Stack (abstract data type)
In computer science, a stack is an abstract data type that serves as a collection of elements, with two principal operations.
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Stochastic grammar
A stochastic grammar (statistical grammar) is a grammar framework with a probabilistic notion of grammaticality.
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String (computer science)
In computer programming, a string is traditionally a sequence of characters, either as a literal constant or as some kind of variable.
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The Algorithmic Beauty of Plants
The Algorithmic Beauty of Plants is a book by Przemyslaw Prusinkiewicz and Aristid Lindenmayer.
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Thue–Morse sequence
In mathematics, the Thue–Morse sequence, or Prouhet–Thue–Morse sequence, is the binary sequence (an infinite sequence of 0s and 1s) obtained by starting with 0 and successively appending the Boolean complement of the sequence obtained thus far.
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Tuple
In mathematics, a tuple is a finite ordered list (sequence) of elements.
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Turtle graphics
In computer graphics, turtle graphics are vector graphics using a relative cursor (the "turtle") upon a Cartesian plane.
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Utrecht University
Utrecht University (UU; Universiteit Utrecht, formerly Rijksuniversiteit Utrecht) is a university in Utrecht, the Netherlands.
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Yeast
Yeasts are eukaryotic, single-celled microorganisms classified as members of the fungus kingdom.
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References
[1] https://en.wikipedia.org/wiki/L-system
