A New Kind of Science: The NKS Forum

• hi
• What is simple input? infintely repeating Lyndon words?
• (-x +z) Self Organization Example
• Prove that the complement of UTM's language is not turing recognizable.
• How does one create polar automata?
• A comment about Page 1185
• Iterated finite automata
• totalistic 3 color, range 1/2 CAs
• Time energy theory
• What is the Reversible Cellular Automata?
• T5 = ({0, +1, x, y, -1}; +, -; 0, +1, -1)
• How to return list after function finishes
• Adaptive finite automata, a program space sweep and an interesting machine instance
• Imposing automata on a 3d model
• Commentary on Stephen Wolfram's book "A New Kind of Science"
• Gravity - A different concept
• PCE and universality of rule 30
• Numenta HTM training and NKS
• Particle emergence and evolution in trivalent network computations
• The Book : pp 1161 Misprints
• syntax checker
• sequences of instructions to copy and kill terms
• Two Violations of the Principle of Computational Equivalence
• Confusion on FOM
• About Rule chosen
• Minimal disjunctive normal form
• Simple Turing machines, Universality, Encodings, etc.
• Alex Smith's 2,3 TM solution
• Call to coders, a new type of fractal.
• The state of MCell today.
• The photon/XOR system
• the evolution of culture
• 2.2TuringMachine
• Collatz 3n+1 Conjecture and NKS
• 21 Three Color Palindromic Rules
• Q about Game of Life
• Universal Computation with only 6 States
• 2,3 Turing Machine Universal? $25,000 TM prize
• searching for wires
• Claim of a 2-state 4-color universal Turing machine
• counting axioms
• Set Theory History and Relativity
• Post Tag Systems - Complexity Threshold Lowered
• Demostrating ECA rules in 2,5 Turing Machines
• sorted 1D CA output
• Prime Number Absolute Difference Graphic
• Hierarchal Temporal Memory (HTM) and NKS
• Diagonal CA Representation
• Reflections
• Summary table for rule classification for 1D CA
• Cellular automata with global control
• Reversible rules of 3-states, page 1017
• Visualizing Babylonian numbers
• TuringMachine
• Enumeration of 2D CAs
• Correction of mistake--A new kind of infinitessimal
• Algorithmic Classification of symmetric 1D CA
• Particle System
• A comment about Page 560
• White Triangles in rule 30
• A comment about Page 56 - Rule 151
• NKS and Fermat's Last Theorem
• BZ spirals in a simple totalistic 2D CA
• NKS and Constructal
• rule 94: 90 or bust
• alternate layout centered about a single seed cell
• {red & blue} ca
• zeven
• network distance & world "size"
• The observation of network update signals.
• Problem with Series[] in M5
• Liouville's constant continued fraction
• Levels of Complexity
• Falsifiability
• CA vs. F = m a
• Roots and Powers from Division (! ?)
• Question on pages 248 - 249
• First post
• Rough Set Theory and NKS?
• Three Color Three Variable CAs
• draw a color based on the numeric value represented in binary by the cell's history
• sir fermats last theorem
• NKS and thermodynamic
• El Naschie's spacetime
• Some questions
• A new kind of infinitesimal
• Feynman checkerboard as a model of discrete space-time
• b13q
• Errors in rule equivalences table?
• Rule 110 emulated by substitution systems
• Emulating Elementary Rule 110 Behavior
• "Demonstration of the Universality of a New Cellular Automaton."
• Cellular Automata On Different Manifolds
• Universality of S-K Combinator
• Predicting future states of rules... #30?
• Union of Sets (expressed as a function)
• bidimensional tape turing machine
• Distance Transforms
• The Universe as a CA
• All rules were not created equal
• Recursively enumerable sets question
• re and Recursive sets
• Redundancy in ECA Rule 30 Emulation
• recursive set
• Class three behavior from class four rules
• CA's having 2B cells in their rule number...
• Complexity Science for Simpletons
• 1D CA Rules containing 1 Black Square...
• What about Fourier?
• Number Representations
• Classification of rule 90 of 1D CA
• Emulating Elementary Rule 73 Behavior
• Emulating Elementary Rule 30 Behavior
• computational equivalence and quantum computing
• A plotting question
• stuck on two functions — enumerating symbolic tranformation rules
• Automatic Classification of 1D Cellular Automata
• bug in NKSExplorer
• have you seen this cellular automata set?
• Hybrid CA (90, 150)
• MY Extended Essay IB Project
• summer school applications
• Enumerating Network Trees
• Things that would probably be cool to be able to enumerate
• what does r=3/2 mean?
• Boundaries of 1D CA
• Excel: Turing Machine
• Icosahedral Cellular Automata
• NAND Proof Improvement
• selected ants
• Rule 30, shifted
• Rule equivalences in k=2 compared with those in k=3
• The Surprise CA – Elementary 4 Color Modulistic Rule 52
• Graphing Substitution Sequences
• CA Space
• Three color, two variable CAs
• A comment about Page 453
• Why does NKS mention Rule 103 ahead of 25, 61, 67?
• morphic cells
• Labelling contour plots
• cells with memory
• the "shards of glass"
• Enumerating Sequences of Numbers
• A comment about Page 725
• Excel: mobile automata
• Walls in Rule 73
• Equivalent Behaviors — But Rules from Different Systems
• Excel: 1D 3 cell totalistic
• Excel: 1D totalistic neighbours only
• A simpler 1-D CA
• Emulating Discrete Systems
• Running NKS in Excel
• Further Improvements & Errata
• To what extent are binary sequences a "universal representation system"?
• Programming Rules?
• Model for studying _ANKS_
• Elementary 4 Color Modulistic Cellular Automata
• Randomly Selected Neighbor Modulistic CA
• Hybrid Cellular Automaton
• The Universality of Rule 110 and the ability to iterate over all inputs
• On the Origin of Symmetric Behavior of Totalistic Rules
• Where to find more info on summer school projects
• 5 cell neighbour rule comparable to rule 110
• NKS questions around today
• Enumerating strings
• related systems
• Enumerating Binary String Replacement Systems
• binary Boolean operator CAs
• Multiple Rule Cellular Automata
• Computing Correlation functions for ECA
• A comment about Page 871 - Rule 30...
• Generalizing the pairing function to enumerate parameter space
• A comment about Page 1158
• 2D CA Rule Classification
• Recreational CA
• Interesting statistical representation of Forest-Fire cellular automata
• Domany-Kinzel Stochastic CAs
• The Right Side of Rule 30
• DSOLVE questions
• A comment about Page 821
• CA-rule for binary numbers
• computing powers of x
• Can anybody help me to solve my problem here ??
• A comment about Page 470
• A comment about Page 436
• A comment about Page 113
• A comment about Page 45
• Important Paper for NKS
• A PDE that actually resembles the complexity of Rule 30.
• Another Interesting ICA
• Chaotic transition from rule 30 to rule 110
• Most Basic Non Trivial CA Rule
• 1D CA Constructions
• Teaching NKS Basics in Middle School
• An Efficient Implementation of Multiway Systems
• Fun thing to do; Advice to NASA; Disproof of calculus
• Four Layers of Equals
• A semicontinuous cellular automaton
• CA Growth Rates: A Live Experiment
• Recursive enumerable set

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