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Encoding of 1D cellular automaton rules
Wolfram code is a widely used numbering system for one-dimensional cellular automaton rules, introduced by Stephen Wolfram in a 1983 paper and popularized
Wolfram_code
British-American scientist (born 1959)
Stephen Wolfram (/ˈwʊlfrəm/ WUUL-frəm; born 29 August 1959) is a British-American computer scientist, physicist, and businessman. He works in computer
Stephen_Wolfram
Computational software program
the kernel and the front end. The kernel interprets expressions (Wolfram Language code) and returns result expressions, which can then be displayed by
Wolfram_Mathematica
Programming language and environment developed by Wolfram Research
The Wolfram Language (/ˈwʊlfrəm/ WUUL-frəm) is a proprietary, high-level multi-paradigm programming language developed by Wolfram Research. It emphasizes
Wolfram_Language
Topics referred to by the same term
Wolfram code, a naming system for one-dimensional cellular automaton rules introduced by Stephen Wolfram Wolfram syndrome, a genetic disorder Wolfram
Wolfram
Elementary cellular automaton
cryptography. Wolfram is offering $30000 prize for solving three problems concerning Rule 30. Rule 30 is so named because 30 is the smallest Wolfram code which
Rule_30
Topics referred to by the same term
Procedure, which governs requests for production of documents Rule 34, the Wolfram code for a particular elementary cellular automaton The 34th Rule, a 1999
Rule_34_(disambiguation)
Search and answer engine
engine is based on Wolfram's earlier product Wolfram Mathematica, a technical computing platform. The coding is written in Wolfram Language, a general
WolframAlpha
Elementary cellular automaton
binary number, this corresponds to the decimal value 110. This is the Wolfram code naming scheme. In 2004, Matthew Cook published a proof that Rule 110
Rule_110
Elementary cellular automaton
Martin, Odlyzko & Wolfram (1984) call it "the simplest non-trivial cellular automaton", and it is described extensively in Stephen Wolfram's 2002 book A New
Rule_90
Elementary cellular automaton
features of the automaton's state with particles. The name of Rule 184 is a Wolfram code that defines the evolution of its states. The earliest research on Rule
Rule_184
WHATWG. Wolfram. "\[NegativeThickSpace]". Wolfram Language Documentation. Wolfram. "\[NegativeMediumSpace]". Wolfram Language Documentation. Wolfram. "\[NegativeThinSpace]"
List_of_Unicode_characters
Babylonian legal text
The Code of Hammurabi is a Babylonian legal text composed c. 1753 BC. It is one of the most recognizable legal texts from the ancient Near East, written
Code_of_Hammurabi
Discrete model of computation
automata are generally referred to by their Wolfram code, a standard naming convention invented by Wolfram that gives each rule a number from 0 to 255
Cellular_automaton
Open source software demonstrations
The Wolfram Demonstrations Project is an open-source collection of interactive programmes called Demonstrations. It is hosted by Wolfram Research. At its
Wolfram Demonstrations Project
Wolfram_Demonstrations_Project
Natural number
Service, MI6. Six degrees (disambiguation) Weisstein, Eric W. "6". mathworld.wolfram.com. Retrieved 2020-08-03. "SIX Definition & Meaning". Merriam-Webster
6
British technologist and businessman
Festival of Code, the culmination of Young Rewired State 2012. Wolfram is also part of Flooved advisory board. On 10 June 2020, Wolfram released his
Conrad_Wolfram
Approach to software development
(embedded) with snippets of macros and traditional source code, from which compilable source code can be generated. The approach is used in scientific computing
Literate_programming
Sequence of n-tuples of integers
cellular automata denoted as rule 102 in Wolfram code and related to rule 90 through the Martin-Odlyzko-Wolfram map. Rule 102 reproduces the Sierpinski
Ducci_sequence
Chemical element with atomic number 74 (W)
Tungsten is a chemical element; it has symbol W (from German: Wolfram) and atomic number 74. It is a metal found naturally on Earth almost exclusively
Tungsten
Mathematics concept
223 possible elementary cellular automata. Stephen Wolfram proposed a scheme, known as the Wolfram code, to assign each rule a number from 0 to 255 which
Elementary_cellular_automaton
Debian. Wolfram. "\[NegativeThickSpace]". Wolfram Language Documentation. Wolfram. "\[NegativeMediumSpace]". Wolfram Language Documentation. Wolfram. "\[NegativeThinSpace]"
List of XML and HTML character entity references
List_of_XML_and_HTML_character_entity_references
English philosopher and writer
Sybil Wolfram, 2014 [1989]. In-laws and Outlaws: Kinship and Marriage in England by Sybil Wolfram, 1987. Levy, Steven. "The Man Who Cracked The Code to Everything
Sybil_Wolfram
Mathematical model of abstract computation
In his book A New Kind of Science, Stephen Wolfram described a universal 2-state 5-symbol Turing machine, and conjectured that a particular 2-state 3-symbol
Wolfram's 2-state 3-symbol Turing machine
Wolfram's_2-state_3-symbol_Turing_machine
List of programming languages types and the languages that meet its description
SequenceL Speakeasy Wolfram Mathematica (Wolfram language) X10 ZPL Aspect-oriented programming enables developers to add new functions to code, known as advice
List of programming languages by type
List_of_programming_languages_by_type
Type of cellular automaton with similarities to Conway's Game of Life
rules, that are similar to each other but incompatible. Wolfram & Packard (1985) use the Wolfram code, a decimal number the binary representation of which
Life-like_cellular_automaton
Germanic people of late antiquity and the early Middle Ages
peoples". Peter Heather has written that Wolfram's position is "entirely arguable, but so is the opposite". Wolfram believes that "Vesi" and "Ostrogothi"
Visigoths
Ordering of binary values, used for positioning and error correction
original on 2020-07-28. Retrieved 2020-07-28. "Gray Code" demonstration by Michael Schreiber, Wolfram Demonstrations Project (with Mathematica implementation)
Gray_code
Natural number
Foundation. Retrieved 2016-05-29. Weisstein, Eric W. "Pierpont Prime". Wolfram MathWorld. Wolfram Research, Inc. Retrieved 2026-10-25. "Sloane's A003154 : Centered
73_(number)
Book by Stephen Wolfram
Science is a non-fiction book written by Stephen Wolfram, and self-published in 2002 under the imprint Wolfram Media. It explores how rules that control the
A_New_Kind_of_Science
Human disease
Wolfram syndrome, also called DIDMOAD (diabetes insipidus, diabetes mellitus, optic atrophy, and deafness), is a rare autosomal-recessive genetic disorder
Wolfram_syndrome
Last letter of the Greek alphabet
"Omega Constant". mathworld.wolfram.com. Retrieved 18 January 2025. Weisstein, Eric W. "Brocard Points". mathworld.wolfram.com. Retrieved 7 February 2025
Omega
Group of related team sports
Several codes of football Football is a family of team sports in which the object is to get the ball over a goal line, into a goal, or between goalposts
Football
Type of reversible cellular automaton
constructed in this way are named by Stephen Wolfram by appending an "R" to the number or Wolfram code of the base rule. Second-order automata may be
Second-order cellular automaton
Second-order_cellular_automaton
"Generative Line Art with Blender". Medium. Wolfram, Stephen (28 December 2018). "The Story of Spikey". Stephen Wolfram Writings. "Ultimate Math Library | Utilities
List of mathematical art software
List_of_mathematical_art_software
5th–6th-century Germanic ethnic group
pp. 88, 91. Wolfram 1988, pp. 32, 260. Wolfram 1988, p. 268. Wolfram 1988, p. 269. Wolfram 1988, p. 270. Wolfram 1988, pp. 271–272. Wolfram 1988, pp. 271–274
Ostrogoths
Fourth letter in the Greek alphabet
"Triangle Area". mathworld.wolfram.com. Retrieved 2025-01-23. Weisstein, Eric W. "Symmetric Difference". mathworld.wolfram.com. Retrieved 2025-01-31.
Delta_(letter)
Topics referred to by the same term
Witch Hat Atelier, a Japanese manga series Wolfram Heavy Alloy, any of various alloys of tungsten (wolfram) used for their high density in applications
WHA
Programming tool blending code and documents
interactivity. According to Stephen Wolfram: "the idea of a notebook is to have an interactive document that freely mixes code, results, graphics, text and everything
Notebook_interface
Computer text file character representing blank space
WHATWG. Wolfram. "\[NegativeThickSpace]". Wolfram Language Documentation. Wolfram. "\[NegativeMediumSpace]". Wolfram Language Documentation. Wolfram. "\[NegativeThinSpace]"
Whitespace_character
includes code generators for Fortran, MATLAB, C, and Java. Wolfram Language (Mathematica), and MuPAD have comparable interfaces. Mendix is a low-code platform
List of low-code development platforms
List_of_low-code_development_platforms
Punctuation mark
Laboratory, Programming Research Group. "Part, Wolfram Language function". Reference.Wolfram.com. Wolfram Research. 2014 [1988]. Archived from the original
Bracket
5th-century kingdom of early Germanic tribes
p.305 in MGH edition. Wood 2003, p. 250 Wolfram 1995, Wood 2021 Wolfram 1995, Anton 1981 Wolfram 1995. Wolfram 1995, Anton 1981 Chronica Gallica 511; John
Kingdom_of_the_Burgundians
American sociolinguist (born 1941)
Walt Wolfram (/ˈwʊlfrəm/ WUUL-frəm; born February 15, 1941) is an American sociolinguist specializing in social and ethnic dialects of American English
Walt_Wolfram
Natural number
Weisstein, Eric W. "Octal". mathworld.wolfram.com. Retrieved 7 August 2020. Weisstein, Eric W. "Octagon". mathworld.wolfram.com. Retrieved 7 August 2020. Weisstein
8
Early Germanic people
(96–100). Wolfram 1990, p. 58. Wolfram 1990, pp. 63–64. Eusebius 1900, Book IV, Chapters 5–6 Wolfram 1990, p. 95. Jordanes 1915, pp. xxx (113–15). Wolfram 1990
Goths
Town in Bavaria, Germany
Wolframs-Eschenbach (German pronunciation: [ˈvɔlfʁams ˈɛʃn̩bax] ) is a town in the district of Ansbach, in Bavaria, Germany. It is situated 14 km southeast
Wolframs-Eschenbach
Natural number
Theorems and Lists". Weisstein, Eric W. "Ruth-Aaron Pair". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-10-25. "The Science behind Sudoku,
77_(number)
number of digits in the area code (German: Vorwahl) as well as in the subscribers' directory telephone number. Area codes in Germany have two to five digits
List of dialling codes in Germany
List_of_dialling_codes_in_Germany
Third letter of the Greek alphabet
Weisstein's World of Physics". scienceworld.wolfram.com. Weisstein, Eric W. "Hermite Constants". mathworld.wolfram.com. Retrieved 2025-01-31. Weisstein, Eric
Gamma
Seventeenth letter of the Greek alphabet
"Spectral Radius". mathworld.wolfram.com. Retrieved 2025-01-22. Weisstein, Eric W. "Plastic Constant". mathworld.wolfram.com. Retrieved 2025-01-31. The
Rho
Language-oriented programming paradigm
programming language in the style of the plays of William Shakespeare; and Wolfram Alpha, a computational knowledge engine, using natural-language input.[citation
Natural_language_programming
Mathematical symbol
pp. 242, 270–271. pp 270,271 Weisstein, Eric W. "Division". mathworld.wolfram.com. Retrieved 2020-08-26. "Division". www.mathsisfun.com. Retrieved 2020-08-26
Division_sign
Method for avoiding collisions in robots
collision avoidance strategy for mobile robots developed by Dieter Fox, Wolfram Burgard, and Sebastian Thrun in 1997. Unlike other avoidance methods, the
Dynamic_window_approach
Natural number
ISBN 978-0-691-15822-8. Weisstein, Eric W. "Digon." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Digon.html "Polygons on the Sphere". sites.math.washington
2
Search engine from Google
version of its own search service, renamed Bing, as well as the launch of Wolfram Alpha, a new search engine based on "computational knowledge". Google announced
Google_Search
Natural number
"Polyabolo". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-10-19. Weisstein, Eric W. "Harary Index". mathworld.wolfram.com. Wolfram Research, Inc
318_(number)
Typographic symbol
Weisstein, Eric W. "Single Bar". Wolfram MathWorld. Retrieved 2020-08-24. Weisstein, Eric W. "Matrix Norm". Wolfram MathWorld. Retrieved 2020-08-24. Univalent
Vertical_bar
Unicode code point property names and their uses
WHATWG. Wolfram. "\[NegativeThickSpace]". Wolfram Language Documentation. Wolfram. "\[NegativeMediumSpace]". Wolfram Language Documentation. Wolfram. "\[NegativeThinSpace]"
Unicode_character_property
Compact encoding of digital data
In information theory, data compression, source coding, or bit-rate reduction is the process of encoding information using fewer bits than the original
Data_compression
Fifth letter of the Greek alphabet
Eric W. "Limit". mathworld.wolfram.com. Retrieved 30 January 2025. Weisstein, Eric W. "Permutation Symbol". mathworld.wolfram.com. Retrieved 24 September
Epsilon
Nineteenth letter in the Greek alphabet
mathworld.wolfram.com. Archived from the original on 29 Jun 2017. Retrieved 28 Oct 2017. Weisstein, Eric W. "Tau Function". mathworld.wolfram.com. Retrieved
Tau
Bank code used in Germany and Austria
p. 88. ISBN 978-3-11-016575-3. Retrieved 2 September 2025. Klitzsch, Wolfram (4 October 2019). Grundbegriffe der Wirtschaft: Ein Nachschlagewerk für
Bankleitzahl
Natural number
Weisstein, Eric W. "Heptagon". mathworld.wolfram.com. Retrieved 2020-08-25. Weisstein, Eric W. "7". mathworld.wolfram.com. Retrieved 2020-08-07. Cohen, Henri
7
Open-source system for transforming C code
2011-04-25. Wolfram Sang (2010-03-30). "Evolutionary development of a semantic patch using Coccinelle". Linux Weekly News. Retrieved 2011-04-25. Source code repository
Coccinelle_(software)
Typographical mark (\)
February 2021. Retrieved 1 February 2017. "Integer Division". mathworld.wolfram.com. Archived from the original on 2020-02-21. Retrieved 2020-03-10. Eaton
Backslash
Vocal accent in coastal North Carolina
(2001), etc. Wolfram & Reaser (2014:101) Wolfram & Schilling-Estes 1997 Wolfram & Schilling-Estes (1997:123) Wolfram & Reaser (2014:105) Wolfram & Schilling-Estes
High_Tider
Special administrative region of China
Waters. Routledge. ISBN 978-0-7007-1145-1. Horne, John; Manzenreiter, Wolfram (2002). Japan, Korea and the 2002 World Cup. Routledge. ISBN 978-0-415-27563-7
Hong_Kong
Programming language family
Archived from the original on 2016-04-08. Retrieved 2016-12-10. "Wolfram Language Q&A". Wolfram Research. Retrieved 2016-12-10. Edwin D. Reilly (2003). Milestones
Lisp_(programming_language)
Cryptography secured against quantum computers
never been proven to exist at scale. Mathematicians Stephen Wolfram and Christopher Wolfram have created simulated models based on Branchial Graphs to
Post-quantum_cryptography
Twelfth letter of the Greek alphabet
membership of X in A. Weisstein, Eric W. "Möbius Function". mathworld.wolfram.com. Retrieved 2025-01-24. "DLMF: §27.2 Functions ‣ Multiplicative Number
Mu_(letter)
King of Italy from 493 to 526
pp. 104–105. Wolfram 1988, p. 262. Wolfram 1988, p. 263. Wolfram 1988, p. 265. Wolfram 1988, pp. 264–265. Wood 2025, p. 105. Wolfram 1988, p. 267. Burns
Theodoric_the_Great
Privacy-focused online software company
400" sources according to itself, including Bing, Yahoo! Search BOSS, Wolfram Alpha, Yandex, and its own web crawler (the DuckDuckBot). It also uses
DuckDuckGo
Penultimate letter in the Greek alphabet
Fibonacci Constant". mathworld.wolfram.com. Retrieved 2025-02-01. Weisstein, Eric W. "Chebyshev Functions". mathworld.wolfram.com. Retrieved 2025-02-01. WELBAUM
Psi_(Greek)
Language model application development framework
recording stack symbols in threaded and asynchronous subprocess runs; and the WolframAlpha website and SDK. As of April 2023, it can read from more than 50 document
LangChain
(WATerloo FORtran IV) WebAssembly WebGPU Shading Language (WGSL) Whiley Wolfram Language Wyvern X++ (X plus plus/Microsoft Dynamics AX) X10 XBL XC (targets
List_of_programming_languages
release date Prod. code 1 1 "Final Exam" Michael Chang Rob Hoegee July 19, 2003 (2003-07-19) 385-903 2 2 "Sisters" Alex Soto Amy Wolfram July 26, 2003 (2003-07-26)
List_of_Teen_Titans_episodes
English mathematician (1815–1852)
335. Toole 1998, pp. 36–38. Wolfram, Stephen (10 December 2015). "Untangling the Tale of Ada Lovelace". Stephen Wolfram Writings. Then, on Sept. 9, Babbage
Ada_Lovelace
Country in Europe
Middle Ages and the works of writers such as Walther von der Vogelweide and Wolfram von Eschenbach. Well-known German authors include Johann Wolfgang von Goethe
Germany
Compiler backend for multiple programming languages
PostgreSQL's SQL and PL/pgSQL, Ruby, Rust, Scala, Standard ML, Swift, Wolfram Language, Xojo, and Zig. The LLVM project started in 2000 at the University
LLVM
Most populous city in the United States
Manhattan are eligible for Tonys." Newman, Michael (2005). "New York Talk". In Wolfram, Walt; Ward, Ben (eds.). American Voices. Blackwell. pp. 82–87. ISBN 978-1-4051-2109-5
New_York_City
Viscous water-insoluble liquid
Greg; Liermann, Norbert; Oppelt, Joachim; Reichetseder, Peter; Unverhaun, Wolfram (2014). "Oil and Gas, 1. Introduction". Ullmann's Encyclopedia of Industrial
Oil
Programming languages with runtime extensibility
PowerShell Prolog Python R Raku Rebol Ruby Smalltalk SuperCollider Tcl VBScript Wolfram Language Comparison of programming languages Name binding Von Neumann architecture
Dynamic_programming_language
Programming language theory
Retrieved 2020-12-20. Amme, Wolfram; Heinze, Thomas S.; Von Ronne, Jeffery (2008). "Intermediate representations of mobile code". Informatica. 32 (1). Retrieved
Semantic_dictionary_encoding
East Asian ethnic group
the original on 4 December 2014. Retrieved 5 November 2020. Eberhard, Wolfram (December 1965). "Chinese Regional Stereotypes". Asian Survey. 5 (12).
Han_Chinese
Numerical technique
of throws area = (2 * radius)**2 * inside_circle / throws print(area) The code below describes a process of integrating the function f ( x ) = 1 1 + sinh
Monte_Carlo_integration
Simulation software
development of the OpenModelica compiler. Modelica Dymola JModelica.org Wolfram SystemModeler SimulationX Simulink "Release v1.27.1". GitHub. September
OpenModelica
First letter of the Greek alphabet
original on 22 August 2011. Weisstein, Eric W. "Stoneham Number". mathworld.wolfram.com. Retrieved 31 January 2025. The date of the earliest inscribed objects;
Alpha
German World War II naval operation
The repairs were completed in early February and Wolfram embarked on his mission once again. British code breakers at Bletchley Park deciphered Enigma encoded
Operation_Caesar
Natural number
Retrieved 2022-07-21. Weisstein, Eric W. "Mathieu Groups". mathworld.wolfram.com. Retrieved 2022-07-02. Coxeter, H.S.M. (1991), Regular Complex Polytopes
22_(number)
Wolff–Parkinson–White syndrome; 194200; PRKAG2 Wolfram syndrome 2; 604928; CISD2 Wolfram syndrome; 222300; WFS1 Wolfram-like syndrome, autosomal dominant; 222300;
List_of_OMIM_disorder_codes
Set of Germanic laws
such as the Codex Euricianus. Early Germanic law Lex Visigothorum, 654 Wolfram, Herwig. "The Goths in Aquitaine." German Studies Review, Vol. 2, No. 2
Code_of_Euric
King of the Visigoths from 484 until 507
also Gallia Aquitania and the greater part of Gallia Narbonensis. Herwig Wolfram opens his chapter on the eighth Visigothic king, "Alaric's reign gets no
Alaric_II
Constructed alien languages
Youtube. Retrieved 14 July 2021. Wolfram, Christopher. "The Code Behind Arrival". Youtube. Retrieved 14 July 2021. "The Code Behind Arrival (The Movie) Companion
Heptapod_languages
Greek letter
like the Greek letter pi (π). Weisstein, Eric W. "Product". mathworld.wolfram.com. Retrieved 2025-01-18. "13.7: Osmotic Pressure". Chemistry LibreTexts
Pi_(letter)
Type of machine learning model
(or more) of parameters Wolfram, Stephen (2023). What is ChatGPT doing ... and why does it work?. Champaign, Illinois: Wolfram Media, Inc. ISBN 978-1-57955-081-3
Large_language_model
Software used in mathematical applications
install any code. Desmos GeoGebra Google Colaboratory Jupyter Notebook Kaggle KaTeX OpenPlaG Overleaf SageMath – CoCalc Symbolab WolframAlpha List of
Mathematical_software
Municipality in Lower Austria, Austria
State Lower Austria District Gänserndorf Government • Mayor Bernhard Wolfram (ÖVP) Area • Total 8.63 km2 (3.33 sq mi) Elevation 157 m (515 ft) Population
Aderklaa
Device used for calculations
deposited back to the X register. From there, it is converted to seven-segment code and shown on the display panel. Other functions are usually performed using
Calculator
57th season in franchise history; 1st World Series pennant
Lindbergh, Ben (June 15, 2026). "Have the Brew Crew Cracked the Clutchness Code?". The Ringer. Retrieved June 15, 2026. Nightengale, Bob (March 1, 2026)
2026_Milwaukee_Brewers_season
travel, tourism, insurance
WOLFRAM CODE
WOLFRAM CODE
WOLFRAM CODE
WOLFRAM CODE
WOLFRAM CODE
WOLFRAM CODE
WOLFRAM CODE
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WOLFRAM CODE
travel, tourism, insurance