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1. #VARIATIONS OF CONWAYS GAME OF LIFE UPDATE#
2. #VARIATIONS OF CONWAYS GAME OF LIFE PRO#
3. #VARIATIONS OF CONWAYS GAME OF LIFE CODE#

Insane!Īs I have told you, since I don't have too much affinity with math, it is too high for me but I want to show you that math can be beautiful. WIth this “game” you can simulate complex biological, chemical, social processes… and this cellular automaton can also have applications in computing and cryptography. Since then, more and more discoveries have been made in this field, more and more research, and if you search the Internet, you will be completely spoiled when you will see the latest findings in this field of mathematical research. This kind of mathematical structures began to be researched since the 1940's when the concept was invented by von Neumann, but only with the appearance of the article in the Scientific American this concept came to the public's attention. It is not a game in the strict sense of the word but it is a so-called cellular automaton, a mathematical structure, an observer creates the start structure and follows the structure evolution without any further intervention. The first appearance of this concept was in an article by Martin Gardner in the Scientific American (october 1970) - MATHEMATICAL GAMES - The fantastic combinations of John Conway's new solitaire game "life". For this I used a game created by a Cambridge mathematician, John Conway.

#VARIATIONS OF CONWAYS GAME OF LIFE PRO#

The same is in this article where I decided to present you an attempt to visualize some art created by math and simulated on an Arduino Pro Mini microcontroller module. I don't think I'm alone with this problem, am I right? :)īut I cannot deny the importance of mathematics, and when I have the opportunity, I use its results shamelessly. I've never been in good relationship with math. This entry was posted in Math'n'Art and tagged code, mathjax by aadmin.

#VARIATIONS OF CONWAYS GAME OF LIFE CODE#

The Processing source code can be downloaded here: This is a video that shows the resulting animation made with Processing 3 using $v_1=0.3$, $v_0=0.04$, starting from an initial random configuration:

#VARIATIONS OF CONWAYS GAME OF LIFE UPDATE#

animate each grid using the standard rules, but for each cell $(x,y)$ in each grid also keep a fractional (float) value $C(x,y)$ in the range (0,1) ($C_r$ for the red grid, $C_g$ for the green grid, $C_b$ for the blue grid) and update it using the following rules:.overlap three independent cell grids (one for each component Red-Green-Blue).The visual configurations and the animations are also visually interesting.Ī first variant can be obtained in the following way: if an alive cell at generation $N$ is surrounded by 2 or 3 alive cells, then it will stay alive, otherwise it will become a dead cell at generation $N+1$ĭespite the simple rules, the Conway’s Game of Life is a Turing Complete model of computation (i.e.if a dead cell at generation $N$ is surrounded exactly by 3 alive cells then it willl be alive at generation $N+1$.Then the cells evolve, and the state of cell $(x,y)$ at generation $N+1$ depends only on its state and the state of its eight neighbours at generation $N$. Initially the grid has a particular initial configuration (for example a percentage of the cells are set to alive). It is a theoretically infinite grid of cells each cell can be in two states: dead ($0$) or alive ($1$). The Conway’s Game of Life is a cellular automaton created by the British mathematician John Horton Conway in 1970. Part 3: moving to the third dimension.This is a three-part post about Conway’s Game of Life and some easy-to-implement variations that can lead to interesting visual results.