Scheduled System Maintenance
On Saturday, October 21, single article sales and account management will be unavailable until 6 PM ET.
Notice: There is currently an issue with the citation download feature. Learn more.

Self-reproduction by glider collisions: the beehive rule

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

The purchase and pricing options are temporarily unavailable. Please try again later.
5 Author(s)

We present a 3-value cellular automaton which supports self-reproduction by glider collisions. The complex dynamics emerge spontaneously in both 2d and 3d according to the 6-neighbor, k-totalistic, “beehive” rule; the 2d dynamics on a hexagonal lattice is examined in detail. We show how analogous complex rules can be found, firstly by mutating a complex rule to produce a family of related complex rules, and secondly by classifying rule-space by input-entropy variance. A variety of complex rules opens up the possibility of seeking a common thread to distinguish those few rules from the rest: an underlying principle of self-organization?