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:
“Retaliation is related to nature and instinct, not to law. Law, by definition, cannot obey the same rules as nature.”
—Albert Camus (1913–1960)
“Syntax and vocabulary are overwhelming constraints—the rules that run us. Language is using us to talk—we think we’re using the language, but language is doing the thinking, we’re its slavish agents.”
—Harry Mathews (b. 1930)
“Let’s start with the three fundamental Rules of Robotics.... We have: one, a robot may not injure a human being, or, through inaction, allow a human being to come to harm. Two, a robot must obey the orders given it by human beings except where such orders would conflict with the First Law. And three, a robot must protect its own existence as long as such protection does not conflict with the First or Second Laws.”
—Isaac Asimov (1920–1992)