Switch engine ping-pong: Difference between revisions
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'''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}} | '''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}}. | ||
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. | ||
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==Gallery== | ==Gallery== | ||
<gallery> | <gallery style="text-align:center;"> | ||
File:Switchenginepingpong 40e12.png|Generation 40,210,710,958,656, viewed at a scale of 2<sup>36</sup>:1. | 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 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". | ||
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==External links== | ==External links== | ||
{{LinkLexicon|lex_s.htm#switchenginepingpong}} | * {{LinkLexicon|lex_s.htm#switchenginepingpong}} | ||
[[Category:Patterns involving switch engines]] | [[Category:Patterns involving switch engines]] | ||
Revision as of 16:07, 3 September 2022
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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 is the first such pattern found that uses only 2 switch engines, and it shows that quadratic growth can be synthesized with no more than 7 gliders.[2]
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