Sawtooth 181

Sawtooth 181 is a diagonal sawtooth discovered on April 28th, 2015 by Chris Cain,[1] based on a suggestion by Dongook Lee and initial two-glider shotgun constructed by Brett Berger. It was the smallest known sawtooth in terms of its minimum repeating population of 181, until being superseded by Sawtooth 177 (which differs only in the phases of the constituent guns).

Sawtooth 181
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Pattern type Sawtooth
Number of cells 181
Bounding box 78×87
Expansion factor 121
Discovered by Chris Cain
Year of discovery 2015

The sawtooth functions by letting two glider streams of period 120 generated by two Simkin glider guns (which were first discovered the same day) retract a block, created by collision with a spark from a 58P5H1V1, one cell at a time. The retracted block is deleted via interaction with a pentadecathlon, and the streams are allowed to return to the now-farther-away 58P5H1V1 to create another block.

Population

The population is equal to 181 at generations 0, 6960, 849120, 102750480, ..., 58 * (121n - 1), ..., giving an expansion factor of 121.

gollark: Create a new section "Bees" %bees.Create a rule "Bee utilization part 1" (%bees-1) in %bees:> The deployment status of bees is considered part of the Game State. No bee action (except for bee deployment) may be taken unless bees are currently deployed. Bee actions include deployment of bees, which makes bees become deployed, cessation of bees, which makes bees not be deployed, and use of bees against a player. The player bees are to be used against must be indicated in the Bee Poll authorizing this action. Use of bees against players causes their Points quantity to be reduced by 1, unless it is already 0, in which case there is no effect.Create a rule "Bee Poll" (%bee-poll) in %polls:> A Bee Poll is required to authorize bees to perform actions, as described in %bees. The default allowed reactions for a Bee Poll are 👍 (representing a vote for) and 👎 (representing a vote against). Bee Polls may be closed if they have existed for 12 hours or more, rather than the usual 24. If a Bee Poll is passed, the action it describes is taken. Players are permitted to use multiple reactions on a Bee Poll. A Bee Poll must clearly indicate that it is a Bee Poll.Due to the passage of proposal #207, bees are to be considered "deployed" initially.
gollark: Because funlolz.
gollark: I'm describing it.
gollark: No.
gollark: I'm rewriting mine and it's better because it provides a general framework for bee deployment.

See also

References
  1. Chris Cain (April 28, 2015). "Re: Smaller sawtooth". ConwayLife.com forums. Retrieved on July 3, 2016.
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