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HighLife



 
 
HighLife is a cellular automaton
Cellular automaton

A cellular automaton is a discrete mathematics model studied in Computability theory , mathematics, theoretical biology and microstructure modeling....
 similar to Conway's Game of Life
Conway's Game of Life

The Game of Life, also known simply as Life, is a cellular automaton devised by the United Kingdom mathematician John Horton Conway in 1970....
. It was devised in 1994 by Nathan Thompson. It is a two-dimensional, two-state cellular automaton in the "Life family
Life-like cellular automaton

A cellular automaton is Life-like if it meets the following criteria:* The CA has two dimensions.* The CA has two states .* The neighborhood is the Moore neighborhood; it consists of the eight adjacent cells to the one under consideration and the cell itself....
" and is described by the rule B36/S23; that is, a cell is born if it has 3 or 6 neighbors and survives if it has 2 or 3 neighbors. Because the rules of HighLife and Conway's Life (rule B3/S23) are similar, many simple patterns in Conway's Life function identically in HighLife.






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HighLife is a cellular automaton
Cellular automaton

A cellular automaton is a discrete mathematics model studied in Computability theory , mathematics, theoretical biology and microstructure modeling....
 similar to Conway's Game of Life
Conway's Game of Life

The Game of Life, also known simply as Life, is a cellular automaton devised by the United Kingdom mathematician John Horton Conway in 1970....
. It was devised in 1994 by Nathan Thompson. It is a two-dimensional, two-state cellular automaton in the "Life family
Life-like cellular automaton

A cellular automaton is Life-like if it meets the following criteria:* The CA has two dimensions.* The CA has two states .* The neighborhood is the Moore neighborhood; it consists of the eight adjacent cells to the one under consideration and the cell itself....
" and is described by the rule B36/S23; that is, a cell is born if it has 3 or 6 neighbors and survives if it has 2 or 3 neighbors. Because the rules of HighLife and Conway's Life (rule B3/S23) are similar, many simple patterns in Conway's Life function identically in HighLife. More complicated engineered patterns for one rule, though, typically do not work in the other rule.

Highlife Replicator
The main reason for interest in HighLife comes from the existence of a pattern called the replicator. After running the replicator for twelve generations, the result is two replicators. The replicators will repeatedly reproduce themselves, all on a diagonal line. Whenever two replicators try to expand into each other, the pattern in the middle simply vanishes. Replicators can be used to engineer other more complex patterns, such as glider guns and high period oscillators.

In Conway's Life, it has been proven that replicators exist, but no explicit construction for one is known.

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