Difference between revisions of "Sawtooth 181"
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'''Sawtooth 181''' is a diagonal [[sawtooth]] discovered on April 28th, 2015 by Chris Cain,<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&t=1590&p=19270#p19139|title=Re: Smaller sawtooth|author=Chris Cain|date=April 28, 2015|accessdate=July 3, 2016|work=ConwayLife.com forums}}</ref> 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 It was the smallest known sawtooth in terms of its minimum repeating population of 181, until being superseded by [[Sawtooth 177]] (which differs only in the phases of the constituent guns).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''' is a diagonal [[sawtooth]] discovered on April 28th, {{year|2015}} by [[Chris Cain]],<ref>{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&t=1590&p=19270#p19139|title=Re: Smaller sawtooth|author=Chris Cain|date=April 28, 2015|accessdate=July 3, 2016|work=ConwayLife.com forums}}</ref> 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 It was the smallest known sawtooth in terms of its minimum repeating population of 181, until being superseded by [[Sawtooth 177]] (which differs only in the phases of the constituent guns). | ||
The sawtooth functions by letting two glider streams of period 120 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. | The sawtooth functions by letting two glider streams of period 120 generated by two [[Simkin glider gun|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== | ==Population== | ||
The population is equal to 181 at generations 0, 6960, 849120, 102750480, ..., 58 * (121<sup>n</sup> - 1), ..., giving an expansion factor of 121. | The population is equal to 181 at generations 0, 6960, 849120, 102750480, ..., 58 * (121<sup>n</sup> - 1), ..., giving an expansion factor of 121. | ||
==See also== | |||
*[[Simkin glider gun]] | |||
==References== | ==References== | ||
<references /> | <references /> | ||
Revision as of 23:10, 29 December 2019
| Sawtooth 181 | |||||
| View static image | |||||
| Pattern type | Sawtooth | ||||
|---|---|---|---|---|---|
| Number of cells | 181 | ||||
| Bounding box | 78 × 87 | ||||
| Expansion factor | 121 | ||||
| Discovered by | Chris Cain | ||||
| Year of discovery | 2015 | ||||
| |||||
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).
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.
See also
References
- ↑ Chris Cain (April 28, 2015). "Re: Smaller sawtooth". ConwayLife.com forums. Retrieved on July 3, 2016.