Log(t)^2 growth
From LifeWiki
Log(t)^{2} growth  
View static image  
Pattern type  Miscellaneous  

Number of cells  1431  
Bounding box  290×218  
Discovered by  Dean Hickerson  
Year of discovery  1992  

Log(t)^{2} growth is a pattern that was found by Dean Hickerson on April 24, 1992. It experiences infinite growth that is O(log(t)^{2}) and is the first such pattern that was constructed.
A bit more specifically, its population in generation n is asymptotic to (5log(t)^{2})/(3log(2)^{2}). Even more specifically, for n ≥ 2, the population in generation 960×2^{n} is 5n^{2}/3 + 60n + 1875 + (100/9)*sin²(pi*n/3).
It is constructed out of a caber tosser, a modified block pusher, and a toggleable period 120 gun. Each glider from the caber tosser turns on the gun and causes the block pusher to go through one cycle (sending out a salvo and then waiting for the return gliders). When the cycle is complete, the gun is turned back off.^{[1]}
See also
References
 ↑ Alan Hensel's lifep.zip pattern collection. Retrieved on August 9, 2009.