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Functions
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Wolfram Physics Project Functions
This page lists some of the functions in the Wolfram Function Repository created to support the
Wolfram Physics Project
, as well as some built-in Wolfram Language functions of particular relevance.
Basic Model Implementation
WolframModel
— Wolfram model evolution, causal graphs, etc.
WolframModelEvolutionObject
— symbolic representation of Wolfram model evolution
WolframModelPlot
— visualization of Wolfram model hypergraphs
Rule Structure & Enumeration
WolframModelData
— data on Wolfram models in the
Registry of Notable Universes
CanonicalWolframModelRule
— find a canonical form for a Wolfram model
EnumerateWolframModelRules
 ▪
RandomWolframModel
 ▪
ConnectedWolframModelQ
Rule Display & Formatting
RulePlot
— give a visual representation of a Wolfram model rule
WolframModelRuleForm
 ▪
WolframModelSignatureForm
 ▪
WolframModelTraditionalForm
Multiway Systems
MultiwaySystem
— multiway system evolution and properties
GenerationalMultiwaySystem
 ▪
MultiwayEvolutionPlot
Causal Invariance Functions
CausalInvariantQ
 ▪
TotalCausalInvariantQ
BranchPairs
 ▪
BranchPairResolutions
 ▪
CanonicalBranchPairs
KnuthBendixCompletion
 ▪
CanonicalKnuthBendixCompletion
String Overlap Functions
StringOverlapsQ
 ▪
StringOverlaps
 ▪
OverlapFreeStringTuples
String Substitution Systems
SubstitutionSystem
— evolution of substitution systems
EnumerateSubstitutionSystemRules
 ▪
StringTuples
 ▪
SubstitutionSystemPlot
SubstitutionSystemCausalGraph
 ▪
SubstitutionSystemCausalPlot
 ▪
SubstitutionSystemCausalEvolution
Subset Substitution Systems
SubsetReplace
 ▪
SubsetCases
 ▪
SubsetPosition
Other Systems and Models
CellularAutomaton
 ▪
TuringMachine
 ▪
MultiwayTuringMachine
SequentialCellularAutomaton
 ▪
SequentialSubstitutionSystem
 ▪
PrioritizedSubstitutionSystem
ArrayPlot
 ▪
RulePlot
 ▪
MobileAutomatonPlot
 ▪
OrderedGraphModelPlot
CayleyGraph
 ▪
FiniteGroupData
 ▪
CayleyNestGraph
Hypergraphs
EnumerateHypergraphs
 ▪
RandomHypergraph
CanonicalHypergraph
— convert a hypergraph to canonical form
IsomorphicHypergraphQ
 ▪
FindHypergraphIsomorphism
Hypergraph Properties
ConnectedHypergraphQ
 ▪
HypergraphAdjacencyMatrix
HypergraphNeighborhoods
 ▪
HypergraphNeighborhoodVolumes
HypergraphToGraph
— convert to an ordinary graph by turning hyperedges into subgraphs
Ordered Hypergraphs
IsomorphicOrderedHypergraphQ
 ▪
FindOrderedHypergraphIsomorphism
Graph Properties »
GraphNeighborhoodVolumes
 ▪
NeighborhoodGraph
 ▪
FindShortestPath
VertexCount
 ▪
GraphDiameter
 ▪
GraphAntipodes
 ▪
GraphMinors
 ▪
...
Graph Visualization
GraphPlot
 ▪
GraphPlot3D
 ▪
LayeredGraphPlot
 ▪
LayeredGraphPlot3D
DistanceLayeredGraph
 ▪
Graph3D
GraphReconstructedSurface
— render a graph in 3D with an approximate surface
GraphFunctionPlot
— visualize a function on a graph
Graph Generation
TorusGraph
 ▪
GeneralizedGridGraph
 ▪
HexagonalGridGraph
 ▪
HexagonalTorusGraph
 ▪
BuckyballGraph
 ▪
GeodesicSphereGraph
 ▪
RegularHyperbolicTilingGraph
MeshConnectivityGraph
 ▪
GraphicsMetricGraph
Analysis Utilities
RaggedMeanAround
 ▪
LogDifferences
 ▪
FindLinearRecurrence
 ▪
FindLinearRecurrenceEquations
 ▪
FindTransientRepeat
Computational Experiment Utilities
WolframPhysicsProjectStyleData
— standardized rendering styles
InteractiveListSelector
— render a list with interactive element selection
ParallelMapMonitored
— run a parallel computation with dynamic monitoring
RelatedGuides
▪
Graph Theory
▪
Computational Systems & Discovery
▪
Automated Theorem Proving
RelatedLinks
Wolfram Physics Project Home Page
Hands-On Introduction to the Wolfram Physics Project
Wolfram Physics Project: Technical Introduction