Difference between revisions of "Sawtooth 1212"
m (image gallery)
m (Sawtooth 1 moved to Sawtooth 1212: It seems more informative to have sawtooths indexed by their minimum repeating population than an arbitrary numbering scheme)
Revision as of 14:16, 17 February 2009
|View static image|
|Number of cells||983|
|Discovered by||Dean Hickerson|
|Year of discovery||1991|
Its population in generation t = 18(21n) + 222 (n ≥ 0) is 7t/60 + 1290, but the population in generation 6(21n) + 193 (n ≥ 1) is only 1212. It works by using a spark from a turtle to turn a heavyweight spaceship into a loaf, which is then pulled back by pairs of lightweight spaceships. When the loaf is pulled all the way back, another heavyweight spaceship is fired towards the turtle, starting the cycle again. The heavyweight spaceship synthesis, which uses two gliders, Kok's galaxy, and a figure eight, is due to David Buckingham.
The number of alive cells plotted versus the number of elapsed generations roughly forms an ever-increasing sawtooth graph.
- Sawtooth 1 Life 1.05 file and description