Switch engine ping-pong: Difference between revisions
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|bx = 210515 | |bx = 210515 | ||
|by = 183739 | |by = 183739 | ||
|dir = Diagonal | |||
|p = 2326656 | |||
|s = c/12 | |||
|discoverer = Michael Simkin | |discoverer = Michael Simkin | ||
|discoveryear = 2014 | |discoveryear = 2014 | ||
|rle = true | |rle = true | ||
|synthesis = 12 | |||
|synthesis2 = 7 | |||
}} | }} | ||
'''Switch engine ping-pong''' is a [[quadratic growth]] pattern that was found by [[ | '''Switch engine ping-pong''' is a [[quadratic growth]] pattern that was found by [[Michael Simkin]] on October 29, {{year|2014}}.<ref name="post14050" /> In terms of its {{cells|23|text=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 quadratic growth|22-cell]], [[21-cell quadratic growth|21-cell]], and [[20-cell quadratic growth|20-cell]] quadratic growth patterns in {{year|2022}}. | ||
It | 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 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== | ||
<gallery> | <gallery style="text-align:center;"> | ||
File:Switchenginepingpong 40e12.png|Generation 40,210,710,958,656 | File:Switchenginepingpong 40e12.png|Generation 40,210,710,958,656, viewed at a scale of 2<sup>36</sup>:1. | ||
File:Switchenginepingpong 40e12 2e13.png|Generation 40,210,710,958,656, viewed at a scale of 2<sup>13</sup>:1; zooming in on the left corner of the "solid triangle" reveals that it is in fact made up of branching "lines". | |||
File:Switchenginepingpong 40e12 scale1.png|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". | |||
</gallery> | </gallery> | ||
==References== | ==References== | ||
<references/> | <references> | ||
<ref name="post14050">{{LinkForumThread | |||
|format = ref | |||
|p = 14050 | |||
|title = Re: 23 cells quadratic growth (new record) | |||
|author = Michael Simkin | |||
|date = October 29, 2014 | |||
}}</ref> | |||
<ref name="post135214">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Thread For Your Accidental Discoveries | |||
|p = 135214 | |||
|author = ColorfulGabrielsp138 | |||
|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> | |||
</references> | |||
==External links== | ==External links== | ||
{{LinkLexicon|lex_s.htm#switchenginepingpong}} | * {{LinkLexicon|lex_s.htm#switchenginepingpong}} | ||
[[Category:Patterns involving switch engines]] | |||
Latest revision as of 17:48, 17 January 2024
| Switch engine ping-pong | |||||||
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| View static image | |||||||
| Pattern type | Breeder | ||||||
|---|---|---|---|---|---|---|---|
| Number of cells | 23 | ||||||
| Bounding box | 210515 × 183739 | ||||||
| Direction | Diagonal | ||||||
| Period | 2326656 | ||||||
| Speed | c/12 | ||||||
| Discovered by | Michael Simkin | ||||||
| Year of discovery | 2014 | ||||||
| |||||||
| |||||||
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
-
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