Importance
Gliders are important to the Game of Life because they are easily produced, can be collided with each other to form more complicated objects, and can be used to transmit information over long distances. For instance, eight gliders can be positioned so that they collide to form a Gosper glider gun. Glider collisions designed to result in certain patterns are also called glider syntheses.
Gliders can also be collided with other patterns with interesting results. For example, if two gliders are shot at a block in just the right way, the block will move closer to the source of the gliders. If three gliders are shot in just the right way, the block will move farther away. This "sliding block memory" can be used to simulate a counter, which would be modified by firing gliders at it. It is possible to construct logic gates such as AND, OR and NOT using gliders. One may also build a pattern that acts like a finite state machine connected to two counters. This has the same computational power as a universal Turing machine, so, using the glider, the Game of Life is theoretically as powerful as any computer with unlimited memory and no time constraints: it is Turing complete.
Read more about this topic: Glider (Conway's Life)
Famous quotes containing the word importance:
““I’m sure you’ve often wished there was an after-life.” Of course I had, I told him. Everybody has that wish at times. But that had no more importance than wishing to be rich, or to swim very fast, or to have a better-shaped mouth.”
—Albert Camus (1913–1960)
“The importance of its hat to a form becomes
More definite. The sweeping brim of the hat
Makes of the form Most Merciful Capitan,
If the observer says so....”
—Wallace Stevens (1879–1955)
“The importance of a lost romantic vision should not be underestimated. In such a vision is power as well as joy. In it is meaning. Life is flat, barren, zestless, if one can find one’s lost vision nowhere.”
—Sarah Patton Boyle, U.S. civil rights activist and author. The Desegregated Heart, part 1, ch. 19 (1962)