Difference between revisions of "Max"
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{{Pattern|type=Spacefiller| | {{Pattern | ||
'''Max''' is a [[spacefiller]] that was found by [[ | |name = Max | ||
|pname = max | |||
|type = Spacefiller | |||
|c = 187 | |||
|bx = 27 | |||
|by = 27 | |||
|discoverer = Tim Coe | |||
|discoveryear = 1995 | |||
|rulemin = B3/S23 | |||
|rulemax = B38/S238 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]] | |||
|isorulemin = B3-c/S23 | |||
|isorulemax = B34q5k6e7e8/S234eqt5ack6cei7e8 | |||
|plaintext = true | |||
|rle = true | |||
}} | |||
'''Max''' is a [[spacefiller]] that was found by [[Tim Coe]]<ref>{{cite web|url=https://www.conwaylife.com/ref/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, [[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;" | |||
|- | |||
| {{EmbedViewer | |||
|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]] | |||
|pname = maxpredecessor25x25 | |||
|caption = A smaller but higher-population grandparent<br />of the Max spacefiller, by [[Mateusz Naściszewski]]<br /> | |||
|position = center | |||
}} | |||
|| {{EmbedViewer | |||
|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]] | |||
|pname = max183 | |||
|caption = 183-cell Max variant, by [[Mateusz Naściszewski]]<br /> | |||
|position = center | |||
}} | |||
|} | |||
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]].<ref>{{CiteLexicon|file=lex_m.htm#max|name=Max|accessdate=May 24, 2009}}</ref> | |||
==Image gallery== | ==Image gallery== | ||
{| | {| | ||
|- | |- | ||
|[[Image:Max_gen50.png|framed|left|Max at generation 50]] | |[[Image:Max_gen50.png|framed|left|Max at [[generation]] 50]] | ||
|} | |} | ||
==See also== | ==See also== | ||
*[[Halfmax]] | *[[Halfmax]] | ||
*[[Spacefiller 1]] | |||
==References== | ==References== | ||
<references /> | <references> | ||
<ref name="message678458385414488064">{{CiteDiscord | |||
|author = Alex Greason | |||
|date = February 15, 2020 | |||
|channel = cgol | |||
|id = 678458385414488064 | |||
}}</ref> | |||
<ref name="message678530168649678850">{{CiteDiscord | |||
|author = Adam P. Goucher | |||
|date = February 16, 2020 | |||
|channel = cgol | |||
|id = 678530168649678850 | |||
}}</ref> | |||
<ref name="message700361705988816907">{{CiteDiscord | |||
|author = Mateusz Naściszewski | |||
|date = April 16, 2020 | |||
|channel = cgol | |||
|id = 700361705988816907 | |||
}}</ref> | |||
<ref name="message700583344085139496">{{CiteDiscord | |||
|author = Mateusz Naściszewski | |||
|date = April 17, 2020 | |||
|channel = cgol | |||
|id = 700583344085139496 | |||
}}</ref> | |||
</references> | |||
==External links== | |||
{{LinkLexicon|lex_s.htm#spacefiller}} | |||
{{Symmetry|180degree}} | |||
[[Category:Infinite growth]] | |||
[[Category:Breeders]] | |||
Revision as of 21:41, 26 November 2020
| Max | |||||||||
| View static image | |||||||||
| Pattern type | Spacefiller | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 187 | ||||||||
| Bounding box | 27 × 27 | ||||||||
| Discovered by | Tim Coe | ||||||||
| Year of discovery | 1995 | ||||||||
| |||||||||
| |||||||||
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]
|
|
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
 Max at generation 50 |
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