'''Sawtooth 1''' is an orthogonal [[sawtooth]] with expansion factor 21 that was discovered by [[:Category:Patterns found by Dean Hickerson|Dean Hickerson]] on April 10, [[:Category:Patterns found in 1991|1991]]. It was the first sawtooth to be constructed.

'''Sawtooth 1''' is an orthogonal [[sawtooth]] with expansion factor 21 that was discovered by [[:Category:Patterns found by Dean Hickerson|Dean Hickerson]] on April 10, [[:Category:Patterns found in 1991|1991]]. It was the first sawtooth to be constructed.

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Its population in generation t = 18*21^n + 222 (n ≥ 0) is 7t/60 + 1290, but the population in generation 6*21^n + 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 spaceship]]s. 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 [[glider]]s, [[Kok's galaxy]], and a [[figure eight]], is due to [[:Category:Patterns found by David Buckingham|David Buckingham]].

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Its population in generation t = 18(21<sup>n</sup>) + 222 (n ≥ 0) is 7t/60 + 1290, but the population in generation 6(21<sup>n</sup>) + 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 spaceship]]s. 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 [[glider]]s, [[Kok's galaxy]], and a [[figure eight]], is due to [[:Category:Patterns found by David Buckingham|David Buckingham]].

Sawtooth 1 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.

Its population in generation t = 18(21^{n}) + 222 (n ≥ 0) is 7t/60 + 1290, but the population in generation 6(21^{n}) + 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 1 works by sending out a stream of c/2 lightweight spaceships to collide with a c/3 turtle, creating loaves along the way.