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>{{Cite web|url=https://conwaylife.com/forums/viewtopic.php?p=14050#p14050|title=Re: 23 cells quadratic growth (new record)|author=Michael Simkin|date=October 29, 2014|accessdate=October 30, 2014}}</ref> In terms of its {{cells|23}} cells it is the smallest currently known quadratic growth pattern, superseding the previous record holder, [[24-cell quadratic growth]], also found by Simkin a week earlier. 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.
'''Switch engine ping-pong''' is a [[quadratic growth]] pattern that was found by [[Michael Simkin]] on October 29, {{year|2014}}.<ref>{{Cite web|url=https://conwaylife.com/forums/viewtopic.php?p=14050#p14050|title=Re: 23 cells quadratic growth (new record)|author=Michael Simkin|date=October 29, 2014|accessdate=October 30, 2014}}</ref> In terms of its {{cells|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|a 22-cell pattern]] 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.


It is the first such pattern found that uses only 2 [[switch engine]]s, and it shows that quadratic growth can be [[glider synthesis|synthesized]] with no more than 7 gliders.<ref name="post135214" />
It is the first such pattern found that uses only 2 [[switch engine]]s, and it shows that quadratic growth can be [[glider synthesis|synthesized]] with no more than 7 gliders.<ref name="post135214" />

Revision as of 19:51, 12 March 2022

Switch engine ping-pong
Switch engine ping-pong image
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 a 22-cell pattern 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]

  • Generation 40,210,710,958,656, viewed at a scale of 236:1.
    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 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".
    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

  1. ↑ Michael Simkin (October 29, 2014). "Re: 23 cells quadratic growth (new record)". Retrieved on October 30, 2014.
  2. ↑ ColorfulGabrielsp138 (August 23, 2021). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
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