Difference between revisions of "Pi splitter"
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The '''pi splitter''' is a [[catalyst]] found by | The '''pi splitter''' is a [[catalyst]] found by Ivan Fomichev using Bellman in August {{year|2013}}, transforming ("splitting") a pi-heptomino into two gliders.<ref name="post8734" /> It consists of a [[regenerative loop]] used to regenerate a [[tub]] [[motif]]. | ||
A [[glider synthesis]] for a reduced form of the catalyst was completed by Extrementhusiast later the same month.<ref name="post8794" /> | A [[glider synthesis]] for a reduced form of the catalyst was completed by Extrementhusiast later the same month.<ref name="post8794" /> | ||
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|title = Pi splitter | |title = Pi splitter | ||
|author = | |author = Ivan Fomichev | ||
|date = August 7, | |date = August 7, 2013 | ||
}}</ref> | }}</ref> | ||
<ref name="post8736">{{LinkForumThread | <ref name="post8736">{{LinkForumThread | ||
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|title = Re: Pi splitter | |title = Re: Pi splitter | ||
|author = Extrementhusiast | |author = Extrementhusiast | ||
|date = August 7, | |date = August 7, 2013 | ||
}}</ref> | }}</ref> | ||
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|title = Re: Catalyst Discussion Thread | |title = Re: Catalyst Discussion Thread | ||
|author = David Raucci | |author = David Raucci | ||
|date = | |date = May 10, 2022 | ||
}}</ref> | }}</ref> | ||
<ref name="post151467">{{LinkForumThread | <ref name="post151467">{{LinkForumThread | ||
Revision as of 17:10, 11 October 2025
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This article is a stub. You can help LifeWiki by expanding it. |
| Pi splitter | |||||||||
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| Pattern type | Catalyst | ||||||||
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| Number of cells | 31 | ||||||||
| Bounding box | 9 × 14 | ||||||||
| Static symmetry | C1 | ||||||||
| Discovered by | Ivan Fomichev | ||||||||
| Year of discovery | 2013 | ||||||||
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The pi splitter is a catalyst found by Ivan Fomichev using Bellman in August 2013, transforming ("splitting") a pi-heptomino into two gliders.[1] It consists of a regenerative loop used to regenerate a tub motif. A glider synthesis for a reduced form of the catalyst was completed by Extrementhusiast later the same month.[2]
In May 2022, ljkiernan1 found a Spartan replacement consisting of two beehives and two tubs, using mvr's symmetric version of CatForce.[3]
The catalyst is widely used in glider guns[note 1] and other engineered patterns.
| A reduced form[5] (click above to open LifeViewer) Catagolue: here |
| A Spartan replacement with lower population and different clearance[3] (click above to open LifeViewer) Catagolue: here |
| Alternative usage of Pi splitter, showing that it has multiple applications. (click above to open LifeViewer) |
Notes
References
- ↑ Ivan Fomichev (August 7, 2013). Pi splitter (discussion thread) at the ConwayLife.com forums
- ↑ Extrementhusiast (August 14, 2023). Re: Pi splitter (discussion thread) at the ConwayLife.com forums
- ↑ 3.0 3.1 David Raucci (May 10, 2022). Re: Catalyst Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ nokangaroo (September 28, 2022). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
- ↑ Extrementhusiast (August 7, 2013). Re: Pi splitter (discussion thread) at the ConwayLife.com forums