This Life lexicon is compiled by Stephen A. Silver from various sources and may be copied, modified and distributed under the terms of the Creative Commons Attribution-ShareAlike 3.0 Unported licence. See the original credit page for all credits and the original download location. The styling has been adjusted to fit this website.
:trivial A trivial period-N oscillator is one in which every cell oscillates at some smaller factor of N. See omniperiodic. For example, the joining of a period 3 and a period 4 oscillator as shown below creates a single object which is a trivial oscillator of period 12.non-trivial because the different-period rotors are not separated by stator cells. An example is Dean Hickerson's trivial p6. Conversely, there are oscillators formed by trivial combinations of high-period guns or sparkers that are only technically non-trivial, because the lower-period components overlap but do not interact in any way.
"Trivial" is also used to describe a parent of an object which has groups of cells that can be removed without changing the result, such as isolated faraway cells. For example, here is a trivial parent of a block.
The Game of Life is not your typical computer game. It is a cellular automaton, and was invented by Cambridge mathematician John Conway.
This game became widely known when it was mentioned in an article published by Scientific American in 1970. It consists of a collection of cells which, based on a few mathematical rules, can live, die or multiply. Depending on the initial conditions, the cells form various patterns throughout the course of the game.
Each cell with one or no neighbors dies, as if by solitude.
Each cell with four or more neighbors dies, as if by overpopulation.
Each cell with two or three neighbors survives.
Each cell with three neighbors becomes populated.
Choose a pattern from the lexicon or make one yourself by clicking on the cells. The 'Start' button advances the game by several generations (each new generation corresponding to one iteration of the rules).
In the first video, from Stephen Hawkings’ documentary The Meaning of Life, the rules are explained, in the second, John Conway himself talks about the Game of Life.
The Guardian published a nice article about John Conway.
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The Game of Life is also supported by Dotcom-Tools, Load View Testing, Driven Coffee Roasters, and Web Hosting Buddy.
Implemented by Edwin Martin <firstname.lastname@example.org>