The chaos game or chaosgame is a means of creating a fractal, using a polygon and a random point inside it. The fractal is created by finding the point a given fraction of the distance between the previous point and one of the vertices for a large number of times. Using a regular triangle and the vulgar fraction 1/2 will result in the Sierpinski triangle. The Mandelbrot set, named after its discoverer, is a famous example of a fractal. ... Look up Polygon on Wiktionary, the free dictionary For other use please see Polygon (disambiguation) A polygon (literally many angle, see Wiktionary for the etymology) is a closed planar path composed of a finite number of sequential line segments. ... A cake divided into four equal quarters. ... It has been suggested that this article or section be merged with fraction (mathematics). ... The Sierpinski triangle, also called the Sierpinski gasket, is a fractal, named after Wacław Sierpiński. ...
More generally, the chaos game is a way of generating the attractor, or the fixed point, of any iterated function system (IFS). Starting with any point x0, successive iterations are formed as xk+1 = fr(xk), where fr is a member of the given IFS randomly selected for each iteration. The iterations converge to the fixed point of the IFS. Whenever x0 belongs to the attractor of the IFS, all iterations xk stay inside the attractor and, with probability 1, form a dense set in the latter. In dynamical systems, an attractor is a set to which the system evolves after a long enough time. ... In mathematics, a fixed point of a function f is an argument x such that f(x) = x; see fixed point (mathematics). ... Menger sponge, created by using IFS. Iterated function systems or IFS, are a kind of fractal that was conceived in its present form by John Hutchinson in 1981 and popularized by Michael Barnsleys book Fractals Everywhere. ... In topology and related areas of mathematics a subset A of a topological space X is called dense (in X) if the only closed subset of X containing A is X itself. ...
ChaosGames are based on the principle that you cannot control everything in this world and that much of it will function independently of you.
The result of the Ordered Game version of the campaign is that the Germans know they are the superior force and the French fear them, and that the French manoeuvre in such a fashion as to "harden" up the front in the areas in which the panzers operate.
The simplest route, in game terms, for this is the use of a mutual activation phase.
Chaos - The Battle of Wizards is a simple turn based strategy game where the player(s) take the role of wizards who vie with one another to rule the game.
Written by Martin Brownlow, the game was released by hacking group D-Bug on Disk #173 and featured the previously missing spell "Teleport", as well as a new creature based on the alien from the Alien films.
Chaos Groove, (was Chaos Bass), a work in progress from the same author.
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