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60 relations: AdvertCity, Algorithmic composition, Aristid Lindenmayer, Arto Salomaa, Basis (universal algebra), Bio-inspired computing, CaRMetal, Development of No Man's Sky, Dragon curve, Fibonacci number, Fibonacci word fractal, Fight Club, Formal grammar, Fractal, Fractal art, Fractal dimension, Fractal landscape, Fractal-generating software, Gosper curve, Gustavo Díaz-Jerez, Hilbert curve, Index of fractal-related articles, Iterated function system, JFLAP, Koch snowflake, L System, Lévy C curve, List of computability and complexity topics, List of fractals by Hausdorff dimension, List of mathematical shapes, Logo (programming language), MASON (Java), Michael Hansmeyer, Modelling biological systems, Modelling of General Systems, Moore curve, Morphic word, Natural computing, Padovan sequence, Pattern, Patterns in nature, Paulien Hogeweg, Phyllotaxis, Probabilistic context-free grammar, Procedural modeling, Production (computer science), Production system (computer science), Przemysław Prusinkiewicz, R. Luke DuBois, Rewriting, ..., Scenery generator, Semi-Thue system, Shape grammar, Sierpiński arrowhead curve, Simulated growth of plants, Space-filling tree, Strahler number, The Algorithmic Beauty of Plants, Thue–Morse sequence, Turtle graphics. Expand index (10 more) »
AdvertCity
AdvertCity is a business simulation video game developed and published by VoxelStorm.
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Algorithmic composition
Algorithmic composition is the technique of using algorithms to create music.
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Aristid Lindenmayer
Aristid Lindenmayer (17 November 1925 – 30 October 1989) was a Hungarian biologist.
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Arto Salomaa
Arto K. Salomaa (born 6 June 1934) is a Finnish mathematician and computer scientist.
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Basis (universal algebra)
In universal algebra a basis is a structure inside of some (universal) algebras, which are called free algebras.
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Bio-inspired computing
Bio-inspired computing, short for biologically inspired computing, is a field of study that loosely knits together subfields related to the topics of connectionism, social behaviour and emergence.
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CaRMetal
CaRMetal is an interactive geometry program which inherited the C.a.R. engine.
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Development of No Man's Sky
No Man's Sky is a 2016 video game developed by the British development studio, Hello Games.
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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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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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Fibonacci word fractal
The Fibonacci word fractal is a fractal curve defined on the plane from the Fibonacci word.
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Fight Club
Fight Club is a 1999 film based on the 1996 novel of the same name by Chuck Palahniuk.
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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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Fractal
In mathematics, a fractal is an abstract object used to describe and simulate naturally occurring objects.
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Fractal art
Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still images, animations, and media.
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Fractal dimension
In mathematics, more specifically in fractal geometry, a fractal dimension is a ratio providing a statistical index of complexity comparing how detail in a pattern (strictly speaking, a fractal pattern) changes with the scale at which it is measured.
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Fractal landscape
A fractal landscape is a surface generated using a stochastic algorithm designed to produce fractal behaviour that mimics the appearance of natural terrain.
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Fractal-generating software
Fractal-generating software is any type of graphics software that generates images of fractals.
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Gosper curve
The Gosper curve, also known as Peano-Gosper Curve, named after Bill Gosper, also known as the flowsnake (a spoonerism of snowflake), is a space-filling curve.
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Gustavo Díaz-Jerez
Gustavo Díaz-Jerez (27 February 1970, Tenerife) is a Spanish pianist and composer.
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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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Index of fractal-related articles
This is a list of fractal topics, by Wikipedia page, See also list of dynamical systems and differential equations topics.
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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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JFLAP
JFLAP (Java Formal Languages and Automata Package) is interactive educational software written in Java for experimenting with topics in the computer science area of formal languages and automata theory, primarily intended for use at the undergraduate level or as an advanced topic for high school.
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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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L System
L system may refer to.
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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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List of computability and complexity topics
This is a list of computability and complexity topics, by Wikipedia page.
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List of fractals by Hausdorff dimension
Benoit Mandelbrot has stated that "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension." Presented here is a list of fractals ordered by increasing Hausdorff dimension, with the purpose of visualizing what it means for a fractal to have a low or a high dimension.
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List of mathematical shapes
Following is a list of some mathematically well-defined shapes.
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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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MASON (Java)
MASON is a multi-agent simulation environment developed in Java.
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Michael Hansmeyer
Michael Hansmeyer is a post-modern architect who utilizes algorithmic architecture techniques, generative art mentalities, and CAD software to generate complex structures.
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Modelling biological systems
Modelling biological systems is a significant task of systems biology and mathematical biology.
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Modelling of General Systems
MGS (a General Model of Simulation) is a domain-specific language used for specification and simulation of dynamical systems with dynamical structure, developed at IBISC (Computer Science, Integrative Biology and Complex Systems) at Université d'Évry Val-d'Essonne (University of Évry).
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Moore curve
A Moore curve (after E. H. Moore) is a continuous fractal space-filling curve which is a variant of the Hilbert curve.
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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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Natural computing
Natural computing,G.Rozenberg, T.Back, J.Kok, Editors, Handbook of Natural Computing, Springer Verlag, 2012A.Brabazon, M.O'Neill, S.McGarraghy.
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Padovan sequence
The Padovan sequence is the sequence of integers P(n) defined by the initial values and the recurrence relation The first few values of P(n) are The Padovan sequence is named after Richard Padovan who attributed its discovery to Dutch architect Hans van der Laan in his 1994 essay Dom.
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Pattern
A pattern is a discernible regularity in the world or in a manmade design.
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Patterns in nature
Patterns in nature are visible regularities of form found in the natural world.
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Paulien Hogeweg
Paulien Hogeweg (born 1943) is a Dutch theoretical biologist and complex systems researcher studying biological systems as dynamic information processing systems at many interconnected levels.
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Phyllotaxis
In botany, phyllotaxis or phyllotaxy is the arrangement of leaves on a plant stem (from Ancient Greek phýllon "leaf" and táxis "arrangement").
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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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Procedural modeling
Procedural modeling is an umbrella term for a number of techniques in computer graphics to create 3D models and textures from sets of rules.
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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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Production system (computer science)
A production system (or production rule system) is a computer program typically used to provide some form of artificial intelligence, which consists primarily of a set of rules about behavior.
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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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R. Luke DuBois
Roger Luke DuBois (born September 10, 1975, Morristown, New Jersey, United States) is an American composer, performer, conceptual new media artist, programmer, record producer and pedagogue based in New York City.
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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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Scenery generator
A scenery generator refers to software used to create landscape images, 3D models, and animations.
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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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Shape grammar
Shape grammars in computation are a specific class of production systems that generate geometric shapes.
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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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Simulated growth of plants
The simulated growth of plants is a significant task in of systems biology and mathematical biology, which seeks to reproduce plant morphology with computer software.
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Space-filling tree
Space-filling trees are geometric constructions that are analogous to space-filling curves, but have a branching, tree-like structure and are rooted.
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Strahler number
In mathematics, the Strahler number or Horton–Strahler number of a mathematical tree is a numerical measure of its branching complexity.
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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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Turtle graphics
In computer graphics, turtle graphics are vector graphics using a relative cursor (the "turtle") upon a Cartesian plane.
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References
[1] https://en.wikipedia.org/wiki/L-system
