7.1: Cellular Automata - The Nature of Code
This video introduces the concepts and algorithms behind Cellular Automata. (If I reference a link or project and it's not included in this description, please let me know!) Read along: http://natureofcode.com/book/chapter-7-cellular-automata/ http://en.wikipedia.org/wiki/Cellular_autom
From playlist The Nature of Code: Simulating Natural Systems
Cellular Automata are a fantastic demonstration of how a simple set of rules can elicit a complex emergent behaviour. In this video I show John Conway's Game Of Life implemented in quick and simple C++ at the command line. Github: https://github.com/OneLoneCoder/Javidx9/blob/master/Consol
From playlist Interesting Programming
Coding "Conway's Game of Life" Cellular Automaton in C++/ SFML
Coways Game of life is a very famous cellula automaton, created by John Conway. In this video, I implement it in C++ and SFML. ========= DOWNLOAD: https://github.com/Hopson97/CellularAutomaton/releases/tag/v1.1 SOURCE CODE: https://github.com/Hopson97/CellularAutomaton ========= RESOUR
From playlist Creating Cellular Automaton
Cellular Automata Rule-Generating Polynomials
Cellular Automata rules are represented by integers where we encode the output of the function without knowing the details on how it might be implemented. The CellularAutomaton function in Mathematica only requires these integers, along with the values of r and k, to evolve rules for a giv
From playlist Wolfram Technology Conference 2022
Introduction to a Unified Model of Cellular Automata
This is an introduction to a unified model of Cellular Automata in which a rule is represented not by a single function but by a vector of functions we call genes. These functions can be ordered so that they maintain the same order regardless of the rule space where they are realized. This
From playlist Wolfram Technology Conference 2022
Group automorphisms in abstract algebra
Group automorphisms are bijective mappings of a group onto itself. In this tutorial I define group automorphisms and introduce the fact that a set of such automorphisms can exist. This set is proven to be a subgroup of the symmetric group. You can learn more about Mathematica on my Udem
From playlist Abstract algebra
The Genetics of Cellular Automata
When John von Neumann proposed cellular automata to investigate artificial life, he modeled the part that defines their behavior as a subsystem. This subsystem is embodied in the cellular automata rules. Researchers have investigated these rules throughout the decades to model not only art
From playlist Wolfram Technology Conference 2021
What We've Learned from NKS Chapter 11: The Notion of Computation
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
What We've Learned from NKS Chapter 6: Starting from Randomness
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
The Autonomic Nervous System: Sympathetic and Parasympathetic Divisions
We've learned quite a bit about the peripheral nervous system, which has a sensory division and a motor division. The latter is the one that tells the body what to do, and this is divided into the somatic nervous system, which involves voluntary motion, and the autonomic nervous system, wh
From playlist Anatomy & Physiology
Cellular automata: emergence in not-so-complex systems
In this video we explore the concept of emergence through the lens of cellular automata. 00:00 Intro 02:13 Our model system, the cellular automaton 04:56 Visualizing automata through time 05:12 Types of automata, from periodicity to chaos 08:24 Looking for emergence in cellular automata
From playlist Summer of Math Exposition Youtube Videos
The Curtis-Hedlund-Lyndon Theorem | Nathan Dalaklis | math academic talks
This is the second seminar talk that I have given as a math phd student. It is an expository academic talk that I gave as a Math PhD student during my second semester of my second year in my PhD program. The talk concerns the Factors of Symbolic Dynamical Systems and is focused on the Curt
From playlist Academic Talks
What We've Learned from NKS Chapter 3: The World of Simple Programs
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
What We've Learned from NKS Chapter 2: The Crucial Experiment
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
Ville Salo: Nilpotent endomorphisms of expansive group actions
We say a pointed dynamical system is asymptotically nilpotent if every point tends to zero. We study group actions whose endomorphism actions are nilrigid, meaning that for all asymptotically nilpotent endomorphisms the convergence to zero is uniform. We show that this happens for a large
From playlist Dynamical Systems and Ordinary Differential Equations
Searching for a 3D Cellular Automaton - Live from the Wolfram Summer School
Stephen goes on a hunt in the computational universe for interesting cellular automata live at the Wolfram Summer School. For upcoming live streams by Stephen Wolfram, please visit: http://www.stephenwolfram.com/livestreams/
From playlist Stephen Wolfram Livestreams
Coding "Predator And Prey" Cellular Automaton in C++/ SFML
Thanks "Nimmy" from my discord server for the idea! Wanted to try something a bit different for a change, and here it is: A cellular automaton. ========= DOWNLOAD: https://github.com/Hopson97/CellularAutomaton/releases/ SOURCE CODE: https://github.com/Hopson97/CellularAutomaton =======
From playlist Creating Cellular Automaton