Sawtooth 1212
Sawtooth 1212 is an orthogonal sawtooth with expansion factor 21 that was discovered by Dean Hickerson on April 10, 1991. It was the first sawtooth to be constructed.
Sawtooth 1212 | |||||||
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Pattern type | Sawtooth | ||||||
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Number of cells | 983 | ||||||
Bounding box | 173×114 | ||||||
Expansion factor | 21 | ||||||
Discovered by | Dean Hickerson | ||||||
Year of discovery | 1991 | ||||||
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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.
Image gallery
- Sawtooth 1212 works by sending out a stream of c/2 lightweight spaceships to collide with a c/3 turtle, creating loaves along the way.
- The number of alive cells plotted versus the number of elapsed generations roughly forms an ever-increasing sawtooth graph.
Videos
gollark: .
gollark: Me toooooo
gollark: I'm going to just stick random chess pieces in my fort.
gollark: My chessboard dreams are thwarted by the fact that you can't actually place the chess pieces on chessboards.
gollark: I'm demolishing all my cannons and will make walls and stuff.
External links
- Sawtooth 1212 - Life 1.05 file and description
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