Wolfram Computation Meets Knowledge

Fields Medal Winners

Winners of the Fields Medal, 1936-2014

General Topology EntityStore

Entity store representing definitions and theorems of point-set topology

Sample Data: Scottish Hill Races

Record times in Scottish hill races

Polyform Database

Data for some of the most popular polyforms

Gliders in 2D Cellular Automata

A 2D cellular automaton glider compilation by David Eppstein

Famous 2D Cellular Automata

Well-known 2D cellular automata are listed, such as Conway’s Game of Life

Repetition Periods for Elementary Cellular Automata

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

Primitive Polynomials

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

Theorem Network from Euclid's Elements

A graph of the theorems from Euclid's Elements and their logical dependencies

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

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

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

Canonical Polyhedra

The canonical forms of polyhedra with 4 to 9 faces

Linear Codes

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

Mrs. Perkins's Quilts

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

Sample Data: Channing House

Channing House retirement center data

The Silver Game of Life Lexicon

Famous Game of Life configurations collected by Stephen A. Silver

Sample Data: Larynx Cancer

Death times of male laryngeal cancer patients

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

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

Persistent Structures in Rule 110

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

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

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

Solutions to Examples of Post’s Correspondence Problem

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

Proof of Wolfram's Axiom for Boolean Algebra

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

Sample Data: Fisher's Irises

Fisher's iris data

Timeline of Systematic Data & Computable Knowledge

Dataset of nearly 200 notable events in the history of computable knowledge

Cunningham Number Factorizations

Numbers of the form b^n-1 and b^n+1 are factored for small prime bases b={2,3,5,7}

Irish-Viking Networks in 'Cogadh Gaedhel re Gallaibh'

Graph datasets for Irish and Viking character relationships in the medieval Irish text 'Cogadh Gaedhel re Gallaibh' ('The War of the Gaedhil with the Gaill')

Prussian Horse Kick Data

The number of soldiers in the Prussian cavalry killed by horse kicks from 1875 to 1894