Wolfram Computation Meets Knowledge

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Computational Universe

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Books in Stephen Wolfram's Library

Books in Stephen Wolfram’s library that were used during the creation of A New Kind of Science (Wolfram, 2002).

Entity Store of Books in Stephen Wolfram's Library

An entity store of books in Stephen Wolfram’s library that were used during in the creation of A New Kind of Science (Wolfram, 2002).

Orbits of a Planet in a Binary Star System

A collection of orbits for an idealized planet in a binary star system

Full Text of A New Kind of Science

The full text of Stephen Wolfram’s A New Kind of Science

The Silver Game of Life Lexicon

Famous Game of Life configurations collected by Stephen A. Silver

A Million Bits of the Center Column of the Rule 30 Cellular Automaton

The center column of the rule 30 center automaton over a million steps of evolution

Primitive Polynomials

Primitive polynomials for Galois field generation up to GF(2^1200), GF(3^660), GF(5^430), and GF(7^358)

Published Papers Per Year on Cellular Automata

A time series of the number of papers published on cellular automata by year from 1974 through 2015

Block Simulation Network of Elementary Cellular Automata

A network showing how one elementary cellular automaton can emulate another if its states contain only particular blocks

Cover Image from A New Kind of Science

The cellular automaton evolution shown on the cover of Stephen Wolfram’s A New Kind of Science

Linear Codes

Linear codes provide an optimal way for transmitting blocks of data over noisy channels

Minimal Inequivalent Square Tilings

A dataset of images and constraints for the minimal inequivalent square tilings, along with the allowed tiles that generate the tiling

Mrs. Perkins's Quilts

Divide a square into a minimum number of integer-sided squares with a relatively prime subset

People Mentioned in Stephen Wolfram’s “A New Kind of Science”

Listing of all people mentioned in historical and other notes in “A New Kind of Science”

Persistent Structures in Rule 110

The known families of persistent structures in the Rule 110 elementary cellular automaton

Persistent Structures in the Code 1329 Cellular Automaton

A collection of the persistent structures in the k=3, r=1 totalistic code 1329 cellular automaton

Persistent Structures in the Code 20 Cellular Automaton

The known persistent structures in the k=2, r=2 totalistic code 20 cellular automaton

Persistent Structures in the Code 357 Cellular Automaton

A collection of the persistent structures in the k=3, r=1 totalistic code 357 cellular automaton

Proof of Wolfram's Axiom for Boolean Algebra

Steps in an automated proof of the correctness of Wolfram’s Axiom

Repetition Periods for Elementary Cellular Automata

A collection of rules and their repetition periods as a function of size

Solutions to Examples of Post’s Correspondence Problem

A dataset of instances and solutions (if they exist) for Post’s correspondence problem

Worldwide Complexity Institutes

Dataset of known complexity institutes worldwide

Arecibo Telescope 1974 Transmitted SETI Message

A sequence intended for communication with extraterrestrial intelligence, transmitted in 1974 from the Arecibo radio telescope

Gliders in 2D Cellular Automata

A 2D cellular automaton glider compilation by David Eppstein

Three-Color Cellular Automaton Rules that Double Their Input

A list of rules for k=3 cellular automata that eventually double a block of gray input cells