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'''Max''' is a [[spacefiller]] that was found by [[Tim Coe]]<ref>{{cite web|url=http://www.radicaleye.com/lifepage/patterns/sf/sfiller.html|title=Coe's improvements on the spacefiller|publisher=Paul Callahan|accessdate=June 10, 2011}}</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 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> | '''Max''' is a [[spacefiller]] that was found by [[Tim Coe]]<ref>{{cite web|url=http://www.radicaleye.com/lifepage/patterns/sf/sfiller.html|title=Coe's improvements on the spacefiller|publisher=Paul Callahan|accessdate=June 10, 2011}}</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 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 26×26 and 25×25 predecessors to Max that improved on the bounding box at the cost of increased population.<ref name="message678458385414488064" /><ref name="message678530168649678850" /> In April, [[ | In February {{year|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.<ref name="message678458385414488064" /><ref name="message678530168649678850" /> In April, [[Mateusz Naściszewski]] found a 25×25 predecessor with a population of only 215,<ref name="message700361705988816907" /> as well as a Max variant with a 27×27 bounding box but a population of only 183 cells.<ref name="message700583344085139496" /> | ||
{| style="margin-left:auto;margin-right:auto;" | {| style="margin-left:auto;margin-right:auto;" | ||
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|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]] | |viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]] | ||
|pname = maxpredecessor25x25 | |pname = maxpredecessor25x25 | ||
|caption = A smaller but higher-population grandparent<br />of the Max spacefiller, by [[ | |caption = A smaller but higher-population grandparent<br />of the Max spacefiller, by [[Mateusz Naściszewski]]<br /> | ||
|position = center | |position = center | ||
}} | }} | ||
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|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]] | |viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]] | ||
|pname = max183 | |pname = max183 | ||
|caption = 183-cell Max variant, by [[ | |caption = 183-cell Max variant, by [[Mateusz Naściszewski]]<br /> | ||
|position = center | |position = center | ||
}} | }} | ||
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}}</ref> | }}</ref> | ||
<ref name="message700361705988816907">{{CiteDiscord | <ref name="message700361705988816907">{{CiteDiscord | ||
|author = | |author = Mateusz Naściszewski | ||
|date = April 16, 2020 | |date = April 16, 2020 | ||
|channel = cgol | |channel = cgol | ||
| Line 64: | Line 64: | ||
}}</ref> | }}</ref> | ||
<ref name="message700583344085139496">{{CiteDiscord | <ref name="message700583344085139496">{{CiteDiscord | ||
|author = | |author = Mateusz Naściszewski | ||
|date = April 17, 2020 | |date = April 17, 2020 | ||
|channel = cgol | |channel = cgol | ||
Revision as of 11:48, 23 April 2020
| Max | |||||||
| View static image | |||||||
| Pattern type | Spacefiller | ||||||
|---|---|---|---|---|---|---|---|
| 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]
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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.[7]
Image gallery
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See also
References
- ↑ "Coe's improvements on the spacefiller". Paul Callahan. Retrieved on June 10, 2011.
- ↑ 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
- ↑ "Max". The Life Lexicon. Stephen Silver. Retrieved on May 24, 2009.
External links
- Max at the Life Lexicon