Images from A New Kind of Science

This page includes a selection of color pictures based on images in A New Kind of Science.

A New Kind of Science is printed at high resolution in black and white (see the notes on "Using color" on page 851). The pictures here are colorized versions of images from the book, together with various related images.

The rule 30 cellular automaton. (Page 29 etc.) [See also Basic Images.] (Thumbnail shows only part of image.)

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The rule 30 cellular automaton. (Page 29 etc.) [See also Basic Images.] (Thumbnail shows only part of image.)

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The rule 30 cellular automaton. (Page 29 etc.) [See also Basic Images.] (Thumbnail shows only part of image.)

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The rule 30 cellular automaton. (Page 29 etc.) [See also Basic Images.] (Thumbnail shows only part of image.)

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The rule 30 cellular automaton. (Page 29 etc.) [See also Basic Images.] (Thumbnail shows only part of image.)

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An impressionistic version of rule 30, created by Igor Bakshee with Mathematica. [See also Graphica.]

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The rule 110 cellular automaton. (Page 32 etc.) [See also Basic Images.] (Thumbnail shows only part of image.)

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The rule 110 cellular automaton. (Page 32 etc.) [See also Basic Images.] (Thumbnail shows only part of image.)

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An impressionistic version of rule 110, created by Igor Bakshee with Mathematica. [See also Graphica.]

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All elementary cellular automata with rules 128 through 255. (Page 56.)

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The rule 73 cellular automaton. (Page 59.) (Thumbnail shows only part of image.)

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A sequence of 3-color totalistic cellular automata. (Page 61.)

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3-color totalistic cellular automata that give patterns which repeat forever. (Page 62.) (Thumbnail shows only part of image.)

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3-color totalistic cellular automata showing repetitive and nested behavior. (Page 63.)

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The code 2040 3-color totalistic cellular automaton. (Page 64.)

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3-color totalistic cellular automata with complex behavior. (Page 66.)

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The code 1635 3-color totalistic cellular automaton. (Page 67.)

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The code 2049 3-color totalistic cellular automaton. (Page 68.)

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9000 steps of evolution of the code 1599 3-color totalistic cellular automaton. (See Page 70.)

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A simple Turing machine with complicated behavior. (The evolution goes down each column in turn.) (Page 81.)

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Sequences of cellular automata with 2, 3, 4, and 5 colors. (Page 107.)

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The base-2 digit sequences of successive powers of 3/2. (Page 121, also Page 903.) (Thumbnail shows only part of image.)

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Pattern produced by repeated reversal and addition of digit sequences. (Page 126.) (Thumbnail shows only part of image.)

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Evolution of a continuous cellular automaton with a rule based on multiplication. (Page 157.) (Thumbnail shows only part of image.)

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Evolution of a continuous cellular automata with rules based on addition. (Page 159.)

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Evolution of a continuous cellular automaton with rule based on addition. (Page 160.)

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Patterns produced by two-dimensional cellular automata. (Page 174.)

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A 2D cellular automaton yielding a roughly circular pattern. (Pages 178 and 334.) (Thumbnail shows only part of image.)

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Step 300 in the evolution of the code 174826 2D outer totalistic cellular automaton. (Page 181.)

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Steps in the evolution of a three-dimensional cellular automaton. (Page 183.)

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The code 1815 3-color totalistic cellular automaton with random initial conditions. (Page 236.)

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The code 2007 3-color totalistic cellular automaton with random initial conditions. (Page 237.)

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The code 1659 3-color totalistic cellular automaton with random initial conditions. (Page 238.)

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The code 2043 3-color totalistic cellular automaton with random initial conditions. (Page 239.)

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Totalistic cellular automata with a sequence of rules. (Page 241.)

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Typical examples of class 4 cellular automata. (Page 282.)

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A block cellular automaton conserving the number of color cells, but showing rapid randomization. (Page 462.) (Thumbnail shows only part of image.)

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A block cellular automaton conserving the number of color cells, but showing rapid randomization. (Page 462.) (Thumbnail shows only part of image.)

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Examples of general substitution systems. (Page 500.)

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The pattern of GCDs of pairs of numbers. (Page 613.)

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Patterns of digits of powers in various bases. (Page 614.) (Thumbnail shows only part of image.)

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A 16-color cellular automaton constructed to generate the prime numbers. (Page 640.) (Thumbnail shows only part of image.)

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A specially-constructed universal cellular automaton shown emulating rule 90. (Page 646.)

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Detail of a 19-color universal cellular automaton. (Page 649.)

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A 2-state 3-color Turing machine with complicated behavior. (Page 709.)

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The code 1599 totalistic cellular automaton evolving from several initial conditions. (Page 740.)

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A cellular automaton pattern that takes thousands of steps to die out. (Page 754.)

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3-color cellular automata that achieve the purpose of doubling the width of their initial condition. (Page 833.)

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More steps in the rule 110 cellular automaton pattern used in the cover image for the book. (Page 851.)

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