Byl's loop
Encyclopedia
The Byl's loop is an artificial lifeform
similar in concept to Langton's loop
. It is a two-dimensional, 5-neighbor cellular automaton
with 6 states per cell, and was developed in 1989 by John Byl, from the Department of Mathematical Sciences of Trinity Western University
.
Essentially, the simplification consisted in using less cellular states (6 as compared with Langton's 8) and a smaller replicating loop (12 cells as compared with Langton's 86).
Artificial life
Artificial life is a field of study and an associated art form which examine systems related to life, its processes, and its evolution through simulations using computer models, robotics, and biochemistry. The discipline was named by Christopher Langton, an American computer scientist, in 1986...
similar in concept to Langton's loop
Langton's loops
Langton's loops are a particular "species" of artificial life in a cellular automaton created in 1984 by Christopher Langton. They consist of a loop of cells containing genetic information, which flows continuously around the loop and out along an "arm" , which will become the daughter loop...
. It is a two-dimensional, 5-neighbor cellular automaton
Cellular automaton
A cellular automaton is a discrete model studied in computability theory, mathematics, physics, complexity science, theoretical biology and microstructure modeling. It consists of a regular grid of cells, each in one of a finite number of states, such as "On" and "Off"...
with 6 states per cell, and was developed in 1989 by John Byl, from the Department of Mathematical Sciences of Trinity Western University
Trinity Western University
Trinity Western University is a private, Christian liberal arts university located in Langley, British Columbia, Canada.The school was founded in 1962 as Trinity Junior College, and now enrolls approximately 4000 students and sits on a campus....
.
Details
The Byl's loop was developed just a few years after Langton's simplification of Codd's automaton, which produced a simpler automaton that would reproduce itself in 151 time-steps. John Byl simplified Langton's automaton further, with an even smaller automaton that reproduced in just 25 time-steps. Byl's automaton consisted of an array of 12 chips — of which 4 or 5 could be counted as the instruction tape — and 43 transition rules, while Langton's device consisted of some 10»15 chips, including an instruction tape of 33 chips, plus some 190 transition rules.Essentially, the simplification consisted in using less cellular states (6 as compared with Langton's 8) and a smaller replicating loop (12 cells as compared with Langton's 86).
External links
- visual representation of the Byl's loop in JavaJavaJava is an island of Indonesia. With a population of 135 million , it is the world's most populous island, and one of the most densely populated regions in the world. It is home to 60% of Indonesia's population. The Indonesian capital city, Jakarta, is in west Java...
- See Cellular Automata FAQ - Applications (section "What are Byl's rules for a self reproducing CA?") for the full rule set of Byl's loop