Prior to 2010, every spaceship known was either perfectly orthogonal or perfectly diagonal. It’s rather uncommon for a pattern to move obliquely like this, and nearly unheard of for spaceships. Assuming that you can keep the gliders coming with the right spacing and phase, this Herschel crawls along the chain at the bizarre speed of (5, 23)c/79. The new one is offset by 5 tiles horizontally, and 23 tiles vertically. It takes 79 cycles to go from Herschel back to Herschel. This is the first gif of many to be in a (5, 23)c/79 reference frame And we will start our journey with one of the most iconic patterns of all: the glider. Animations of patterns and their emergent behavior. It is the repeated evolution of one set of cells, one picture, into another, that has come to define the Game of Life. Metacells behaving as computers powerful enough to emulate the Game of Life itself. Configurations which grow chaotically, infinitely, or die out completely. Starting configurations that behave in novel ways. The real reason people still care about the Game of Life, is that these rules have fascinating emergent properties. But on the scale we will be reaching in this post, you can ignore that picture. These rules are loosely based on ideas such as overcrowding and community support, and so can be motivated in terms of births or deaths. Every other cell dies.Īpply this rule, which gets called B3/S23, to the entire grid in unison to reach the next generation (also called the next cycle, or next tick). An ON cell survives (stays ON) if it has exactly 2 or exactly 3 of its 8 neighbors ON. Start with an infinite grid of square tiles, each of which can be in the state ON or the state OFF.Īn OFF cell is born (turns ON) if it has exactly 3 of its 8 neighbors ON. It is a zero player game, in the sense that all you can do is define some starting configuration, and everything else happens according to rules. Everything in this post pertains to the famous Game of Life, a cellular automaton identified in 1970 by the great mathematician John Conway. Conway’s Game of Lifeīefore we fall into the rabbit hole of things named after small creatures, let’s make sure to understand the context. After all, Gabriel Nivasch had done the same for the Caterpillar several years prior, and the Caterpillar was my inspiration to do any of this. When I completed the Waterbear spaceship back in December 2014, I claimed I would give a nice detailed explanation of how I built it and why it works.
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