Switch engine ping-pong: Difference between revisions
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The initial state of the pattern contains a [[pre-block]] and a [[glider]] headed towards an [[R-pentomino]] [[grandparent]] in the top-left corner, and a glider headed towards an R-pentomino in the bottom-right. The R-pentomino and glider interactions create two parallel switch engines headed to the top-right, and a [[middleweight spaceship]] which collides with them repeatedly to form switch engines headed to the bottom-right, leading to quadratic growth. | The initial state of the pattern contains a [[pre-block]] and a [[glider]] headed towards an [[R-pentomino]] [[grandparent]] in the top-left corner, and a glider headed towards an R-pentomino in the bottom-right. The R-pentomino and glider interactions create two parallel switch engines headed to the top-right, and a [[middleweight spaceship]] which collides with them repeatedly to form switch engines headed to the bottom-right, leading to quadratic growth. | ||
It | It was the first such pattern found that uses only 2 [[switch engine]]s. It showed that quadratic growth can be [[glider synthesis|synthesized]] with no more than 7 gliders<ref name="post135214" />. This record has since been improved to 6 gliders.<ref name="post143450" /> | ||
==Gallery== | ==Gallery== | ||
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|author = ColorfulGabrielsp138 | |author = ColorfulGabrielsp138 | ||
|date = August 23, 2021 | |date = August 23, 2021 | ||
}}</ref> | |||
<ref name="post143450">{{LinkForumThread | |||
|format = ref | |||
|p = 143450 | |||
|title = Re: Small Quadratic Growth Patterns | |||
|author = dani | |||
|date = March 27th, 2022 | |||
}}</ref> | }}</ref> | ||
</references> | </references> | ||
Latest revision as of 17:48, 17 January 2024
| Switch engine ping-pong | |||||||
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| Pattern type | Breeder | ||||||
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| Number of cells | 23 | ||||||
| Bounding box | 210515 × 183739 | ||||||
| Direction | Diagonal | ||||||
| Period | 2326656 | ||||||
| Speed | c/12 | ||||||
| Discovered by | Michael Simkin | ||||||
| Year of discovery | 2014 | ||||||
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Switch engine ping-pong is a quadratic growth pattern that was found by Michael Simkin on October 29, 2014.[1] In terms of its 23 cells it was formerly the smallest known quadratic growth pattern, superseding the previous record holder, 24-cell quadratic growth, also found by Simkin a week earlier, but having since been beaten out by 22-cell, 21-cell, and 20-cell quadratic growth patterns in 2022.
The initial state of the pattern contains a pre-block and a glider headed towards an R-pentomino grandparent in the top-left corner, and a glider headed towards an R-pentomino in the bottom-right. The R-pentomino and glider interactions create two parallel switch engines headed to the top-right, and a middleweight spaceship which collides with them repeatedly to form switch engines headed to the bottom-right, leading to quadratic growth.
It was the first such pattern found that uses only 2 switch engines. It showed that quadratic growth can be synthesized with no more than 7 gliders[2]. This record has since been improved to 6 gliders.[3]
Gallery
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Generation 40,210,710,958,656, viewed at a scale of 236:1. -
Generation 40,210,710,958,656, viewed at a scale of 213:1; zooming in on the left corner of the "solid triangle" reveals that it is in fact made up of branching "lines". -
Generation 40,210,710,958,656, viewed at a scale of 1:1; zooming in further on the leftmost "branching point" reveals the structure of the "lines".
References
- ↑ Michael Simkin (October 29, 2014). Re: 23 cells quadratic growth (new record) (discussion thread) at the ConwayLife.com forums
- ↑ ColorfulGabrielsp138 (August 23, 2021). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
- ↑ dani (March 27th, 2022). Re: Small Quadratic Growth Patterns (discussion thread) at the ConwayLife.com forums