Wolfram code | Cellular automaton rules

Rule 30

Rule 30 is an elementary cellular automaton introduced by Stephen Wolfram in 1983. Using Wolfram's classification scheme, Rule 30 is a Class III rule, displaying aperiodic, chaotic behaviour. This rule is of particular interest because it produces complex, seemingly random patterns from simple, well-defined rules. Because of this, Wolfram believes that Rule 30, and cellular automata in general, are the key to understanding how simple rules produce complex structures and behaviour in nature. For instance, a pattern resembling Rule 30 appears on the shell of the widespread cone snail species Conus textile. Rule 30 has also been used as a random number generator in Mathematica, and has also been proposed as a possible stream cipher for use in cryptography. Rule 30 is so named because 30 is the smallest Wolfram code which describes its rule set (as described below). The mirror image, complement, and mirror complement of Rule 30 have Wolfram codes 86, 135, and 149, respectively. (Wikipedia).

Rule 30
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30 Day Yoga Challenge Day 10

This is Day 10 of my self imposed 30 day yoga challenge! All you have to do is do X minutes of yoga you're comfortable with every day for 30 days! So far 3 of my friends have joined me! If you're interested in doing it you can be tagged here! When in your life could you find so much time t

From playlist Yoga

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30 Day Yoga Challenge Day 15

This is Day 15 of my self imposed 30 day yoga challenge! All you have to do is do X minutes of yoga you're comfortable with every day for 30 days! So far 3 of my friends have joined me! If you're interested in doing it you can be tagged here! When in your life could you find so much time t

From playlist Yoga

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30 Day Yoga Challenge Day 13

This is Day 13 of my self imposed 30 day yoga challenge! All you have to do is do X minutes of yoga you're comfortable with every day for 30 days! So far 3 of my friends have joined me! If you're interested in doing it you can be tagged here! When in your life could you find so much time t

From playlist Yoga

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30 Day Yoga Challenge Day 9

This is Day 9 of my self imposed 30 day yoga challenge! All you have to do is do X minutes of yoga you're comfortable with every day for 30 days! So far 3 of my friends have joined me! If you're interested in doing it you can be tagged here! When in your life could you find so much time to

From playlist Yoga

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30 Day Yoga Challenge Day 14

This is Day 14 of my self imposed 30 day yoga challenge! All you have to do is do X minutes of yoga you're comfortable with every day for 30 days! So far 3 of my friends have joined me! If you're interested in doing it you can be tagged here! When in your life could you find so much time t

From playlist Yoga

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Quotient Rule of Exponents

👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat

From playlist Simplify Using the Rules of Exponents | Quotient Rule

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30 Day Yoga Challenge Day 8

This is Day 8 of my self imposed 30 day yoga challenge! All you have to do is do X minutes of yoga you're comfortable with every day for 30 days! So far 3 of my friends have joined me! If you're interested in doing it you can be tagged here! When in your life could you find so much time to

From playlist Yoga

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Rule30 Prizes AMA Livestream

Stephen Wolfram answers questions live about his favorite Cellular Automata and the Wolfram Rule 30 Prizes. More information about the prizes can be found here: https://www.rule30prize.org/

From playlist Stephen Wolfram Livestreams

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What We've Learned from NKS Chapter 2: The Crucial Experiment

In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th

From playlist Science and Research Livestreams

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What We've Learned from NKS Chapter 10: Processes of Perception and Analysis

In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th

From playlist Science and Research Livestreams

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Excel Fix 2029 Rule for 2-Digit Year - 2458

If you type a date with a two digit year, Excel treats anything up to 29 as being 2029. Once you get to 30, though, they assume you mean 1930. With 2030 only eight years away, it might be time to adjust this. Microsoft tries to document how, but the Help topic does not match the Windows 10

From playlist Excel General

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What We've Learned from NKS Chapter 11: The Notion of Computation

In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th

From playlist Science and Research Livestreams

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Dividing rational expressions

👉 Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like term and the exponents is evaluated using the product ru

From playlist Simplify Using the Rules of Exponents | Divide Rational Expressions

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Special Right Triangles

Use the properties of 30-60-90 and 45-45-90 right triangles to solve for the lengths of the triangle sides.

From playlist Geometry

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Divisibility Rules – 2, 3, 4, 5, 6, 7, 8, 9, 10

Divisibility Rules tell if a number is devisable by 2, 3, 4, 5, 6, 7, 8, 9 and 10. This video will explain these common divisibility rules and why you need to know them. Need help in math- check out my math courses below: TabletClass Math Academy https://tabletclass-academy.teachable.co

From playlist GED Prep Videos

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Year 13/A2 Mechanics Chapter 5.1 (Forces and Friction)

Welcome to the first lesson on the topic of forces and friction! This lesson takes a deeper look at the idea of resolving forces into components. As an alternative to resolving forces, sometimes we may be able to use the cosine rule with forces that are able to be arranged in a "force tri

From playlist Year 13/A2 Mechanics

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The Genetics of Cellular Automata

When John von Neumann proposed cellular automata to investigate artificial life, he modeled the part that defines their behavior as a subsystem. This subsystem is embodied in the cellular automata rules. Researchers have investigated these rules throughout the decades to model not only art

From playlist Wolfram Technology Conference 2021

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30 Day Yoga Challenge Day 11

This is Day 11 of my self imposed 30 day yoga challenge! All you have to do is do X minutes of yoga you're comfortable with every day for 30 days! So far 3 of my friends have joined me! If you're interested in doing it you can be tagged here! When in your life could you find so much time t

From playlist Yoga

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Will Rule 30 Help Me Find Gold?

The thesis is that geological mineralising systems may be considered as chemical reactors, incorporating interactions among deformation, heat, fluid flow and chemical reactions. These physical phenomena may be described by nonlinear dynamics, with possibly chaotic resulting behaviours. The

From playlist Wolfram Technology Conference 2020

Related pages

Cantor space | Binary number | Butterfly effect | Elementary cellular automaton | Pseudorandom number generator | Conway's Game of Life | Rule 90 | Stream cipher | Rule 110 | Rule 184 | Cellular automaton | Chaos theory | Wolfram code | Mixing (mathematics) | Cryptography | Bitwise operation | John Horton Conway