Max: Difference between revisions
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'''Max''' is a [[spacefiller]] that was found by [[Tim Coe]]<ref>{{ | '''Max''' is a [[spacefiller]] that was found by [[Tim Coe]]<ref>{{LinkCallahan|patterns/sf/sfiller.html|patternname=Coe's improvements on the spacefiller}}</ref> in October {{year|1995}} that fills the plane with [[zebra stripes]]. In terms of its 187 [[cell]]s, it was formerly tied with [[spacefiller 2]] as the smallest known spacefiller, and in terms of its {{times|27|27}} [[bounding box]] it was the outright smallest for many years.<ref>Spacefiller.lif in [[Alan Hensel]]'s [http://www.ibiblio.org/lifepatterns/ lifebc.zip pattern collection].</ref> | ||
In February {{year|2020}}, [[Alex Greason]] and [[Adam P. Goucher]] found {{times|26|26}} and {{times|25|25}} [[predecessor]]s to Max that improved on the bounding box at the cost of increased [[population]].<ref name="message678458385414488064" /><ref name="message678530168649678850" /> In April, [[Mateusz Naściszewski]] found a {{times|25|25}} predecessor with a population of only 215,<ref name="message700361705988816907" /> as well as a Max variant with a {{times|27|27}} bounding box but a population of only 183 cells.<ref name="message700583344085139496" /> In November {{year|2021}}, [[Rocknlol]] found several new patterns with [[LogicLifeSearch]] which separately break the records for smallest population (151) and bounding box ({{times|23|23}}) of known Max predecessors.<ref name="post137788" /> | In February {{year|2020}}, [[Alex Greason]] and [[Adam P. Goucher]] found {{times|26|26}} and {{times|25|25}} [[predecessor]]s to Max that improved on the bounding box at the cost of increased [[population]].<ref name="message678458385414488064" /><ref name="message678530168649678850" /> In April, [[Mateusz Naściszewski]] found a {{times|25|25}} predecessor with a population of only 215,<ref name="message700361705988816907" /> as well as a Max variant with a {{times|27|27}} bounding box but a population of only 183 cells.<ref name="message700583344085139496" /> In November {{year|2021}}, [[Rocknlol]] found several new patterns with [[LogicLifeSearch]] which separately break the records for smallest population (151) and bounding box ({{times|23|23}}) of known Max predecessors.<ref name="post137788" /> | ||
Revision as of 08:38, 16 December 2022
| Max | |||||||||
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| Pattern type | Spacefiller | ||||||||
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| Number of cells | 187 | ||||||||
| Bounding box | 27 × 27 | ||||||||
| Static symmetry | Unspecified | ||||||||
| Discovered by | Tim Coe | ||||||||
| Year of discovery | 1995 | ||||||||
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Max is a spacefiller that was found by Tim Coe[1] in October 1995 that fills the plane with zebra stripes. In terms of its 187 cells, it was formerly tied with spacefiller 2 as the smallest known spacefiller, and in terms of its 27 × 27 bounding box it was the outright smallest for many years.[2]
In February 2020, Alex Greason and Adam P. Goucher found 26 × 26 and 25 × 25 predecessors to Max that improved on the bounding box at the cost of increased population.[3][4] In April, Mateusz Naściszewski found a 25 × 25 predecessor with a population of only 215,[5] as well as a Max variant with a 27 × 27 bounding box but a population of only 183 cells.[6] In November 2021, Rocknlol found several new patterns with LogicLifeSearch which separately break the records for smallest population (151) and bounding box (23 × 23) of known Max predecessors.[7]
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Alternatively, the term Max may be used to describe whatever the smallest-known spacefiller is at the current time. The term represents the fact that the growth rate is the fastest possible of any pattern in Conway's Game of Life.[8]
Image gallery
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See also
References
- ↑ Coe's improvements on the spacefiller at Paul Callahan's Page of Conway's Life Miscellany
- ↑ Spacefiller.lif in Alan Hensel's lifebc.zip pattern collection.
- ↑ Alex Greason (February 15, 2020). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ Adam P. Goucher (February 16, 2020). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ Mateusz Naściszewski (April 16, 2020). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ Mateusz Naściszewski (April 17, 2020). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ Rocknlol (November 17, 2021). Small Spacefillers (discussion thread) at the ConwayLife.com forums
- ↑ "Max". The Life Lexicon. Stephen Silver. Retrieved on May 24, 2009.
External links
- Max at the Life Lexicon