Search results
Results from the WOW.Com Content Network
A Garden of Eden in Conway's Game of Life, discovered by R. Banks in 1971. [1] The cells outside the image are all dead (white). An orphan in Life found by Achim Flammenkamp. Black squares are required live cells; blue x's are required dead cells. In a cellular automaton, a Garden of Eden is a configuration that
Pages in category "Cellular automaton patterns" The following 18 pages are in this category, out of 18 total. ... Garden of Eden (cellular automaton) Glider (Conway's ...
In the theory of cellular automata, Myhill is known for proving (along with E. F. Moore) the Garden of Eden theorem, which states that a cellular automaton has a configuration with no predecessor if and only if it has two different asymptotic configurations which evolve to the same configuration.
A cellular automaton is defined by its cells (often a one- or two-dimensional array), a finite set of values or states that can go into each cell, a neighborhood associating each cell with a finite set of nearby cells, and an update rule according to which the values of all cells are updated, simultaneously, as a function of the values of their neighboring cells.
The Rule 110 cellular automaton (often called simply Rule 110) [a] is an elementary cellular automaton with interesting behavior on the boundary between stability and chaos. In this respect, it is similar to Conway's Game of Life .
7 What is a Garden of Eden? 7 comments. 8 A universal construction. 2 comments. 9 B-class assessment. 1 comment. 10 GA Review. 5 comments Toggle GA Review subsection.
A special class of cellular automata are totalistic cellular automata. The state of each cell in a totalistic cellular automaton is represented by a number (usually an integer value drawn from a finite set), and the value of a cell at time t depends only on the sum of the values of the cells in its neighborhood (possibly including the cell ...
The Garden of Eden theorem of Moore and Myhill implies that every injective cellular automaton must be surjective, but this example shows that the converse is not true. [ 13 ] [ 14 ] Because each configuration has only a bounded number of predecessors, the evolution of Rule 90 preserves the entropy of any configuration.