Rules
Squares on a plane are colored variously either black or white. We arbitrarily identify one square as the "ant". The ant can travel in any of the four cardinal directions at each step it takes. The ant moves according to the rules below:
- At a white square, turn 90° right, flip the color of the square, move forward one unit
- At a black square, turn 90° left, flip the color of the square, move forward one unit
Langton's ant can also be described as a cellular automaton, where the grid is colored black or white, the "ant" square has one of eight different colors assigned to encode the combination of black/white state and the current direction of motion of the ant.
Read more about this topic: Langton's Ant
Famous quotes containing the word rules:
“The average educated man in America has about as much knowledge of what a political idea is as he has of the principles of counterpoint. Each is a thing used in politics or music which those fellows who practise politics or music manipulate somehow. Show him one and he will deny that it is politics at all. It must be corrupt or he will not recognize it. He has only seen dried figs. He has only thought dried thoughts. A live thought or a real idea is against the rules of his mind.”
—John Jay Chapman (1862–1933)
“As no one can tell what was the Roman pronunciation, each nation makes the Latin conform, for the most part, to the rules of its own language; so that with us of the vowels only A has a peculiar sound.”
—Henry David Thoreau (1817–1862)
“In really hard times the rules of the game are altered. The inchoate mass begins to stir. It becomes potent, and when it strikes,... it strikes with incredible emphasis. Those are the rare occasions when a national will emerges from the scattered, specialized, or indifferent blocs of voters who ordinarily elect the politicians. Those are for good or evil the great occasions in a nation’s history.”
—Walter Lippmann (1889–1974)