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|plaintext    = true
|plaintext    = true
|rle          = true
|rle          = true
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
}}
}}
'''Max''' is a [[spacefiller]] that was found by [[Tim Coe]]<ref>{{cite web|url=https://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&times;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=https://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 {{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 26&times;26 and 25&times;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&times;25 predecessor with a population of only 215,<ref name="message700361705988816907" /> as well as a Max variant with a 27&times;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 (23&times;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" />


{| style="margin-left:auto;margin-right:auto;"
{|style="margin:auto;width:300px;"
|-
| {{EmbedViewer
| {{EmbedViewer
|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|pname        = maxpredecessor25x25
|pname        = maxpredecessor25x25
|caption      = A smaller but higher-population grandparent<br />of the Max spacefiller, by [[Mateusz Naściszewski]]<br />
|caption      = A smaller but higher-population grandparent of the Max spacefiller, by [[Mateusz Naściszewski]]
|position    = center
|position    = center
}}
}}
|| {{EmbedViewer
|| {{EmbedViewer
|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|pname        = max183
|pname        = max183
|caption      = 183-cell Max variant, by [[Mateusz Naściszewski]]<br />
|caption      = 183-cell Max variant, by [[Mateusz Naściszewski]]
|position    = center
|position    = center
}}
}}
|-
|| {{EmbedViewer
|| {{EmbedViewer
|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|pname        = max151
|pname        = max151
|caption      = 151-cell 27&times;23 predecessor, by [[Rocknlol]]<br />
|caption      = 151-cell {{times|27|23}} predecessor, by [[Rocknlol]]
|position    = center
|position    = center
}}
}}
|-
| {{EmbedViewer
| {{EmbedViewer
|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|pname        = max155
|pname        = max155
|caption      = 155-cell 25&times;23 predecessor, by Rocknlol<br />
|caption      = 155-cell {{times|25|23}} predecessor, by Rocknlol
|position    = center
|position    = center
}}
}}
|-
|| {{EmbedViewer
|| {{EmbedViewer
|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 THUMBZOOM 7.5 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|pname        = max161
|pname        = max161
|caption      = 161-cell 25&times;21 predecessor, by Rocknlol<br />
|caption      = 161-cell {{times|25|21}} predecessor, by Rocknlol
|position    = center
|position    = center
}}
}}
|| {{EmbedViewer
|| {{EmbedViewer
|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]]
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 8 ]]
|pname        = max189
|pname        = max189
|caption      = 189-cell 23&times;23 predecessor, by Rocknlol<br />
|caption      = 189-cell {{times|23|23}} predecessor, by Rocknlol
|position    = center
|position    = center
}}
}}

Revision as of 00:37, 9 November 2022

Max
x = 27, y = 27, rule = B3/S23 18bo$17b3o$12b3o4b2o$11bo2b3o2bob2o$10bo3bobo2bobo$10bo4bobobobob2o$ 12bo4bobo3b2o$4o5bobo4bo3bob3o$o3b2obob3ob2o9b2o$o5b2o5bo$bo2b2obo2bo 2bob2o$7bobobobobobo5b4o$bo2b2obo2bo2bo2b2obob2o3bo$o5b2o3bobobo3b2o5b o$o3b2obob2o2bo2bo2bob2o2bo$4o5bobobobobobo$10b2obo2bo2bob2o2bo$13bo5b 2o5bo$b2o9b2ob3obob2o3bo$2b3obo3bo4bobo5b4o$2b2o3bobo4bo$2b2obobobobo 4bo$5bobo2bobo3bo$4b2obo2b3o2bo$6b2o4b3o$7b3o$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
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

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]

x = 25, y = 25, rule = B3/S23 6bo5bo3b3o2bo$7bob4obo2b2o2b3o$8b2ob2o2bo3bob2o$9bo4b3obo3bo$6bo7bobob obobobo$bo2bo3bo3b3obo2b5o$o4b3o2bo2bo2bo$o2bobob4o2bobo3bo3b2o$3ob2o 7bo$3bo2b4obo3bo2bo4bo$6bobobo2bo2bo7bo$3bo2b5obobobo2bobo2bo$3ob2o6bo 6b2ob3o$o2bobo2bobobob5o2bo$o7bo2bo2bobobo$bo4bo2bo3bob4o2bo$11bo7b2ob 3o$2o3bo3bobo2b4obobo2bo$8bo2bo2bo2b3o4bo$b5o2bob3o3bo3bo2bo$obobobobo bo7bo$2bo3bob3o4bo$2b2obo3bo2b2ob2o$b3o2b2o2bob4obo$3bo2b3o3bo5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
A smaller but higher-population grandparent of the Max spacefiller, by Mateusz Naściszewski
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 27, y = 27, rule = B3/S23 18bo$17b3o$12b3o4b2o$11bo2b3o2bob2o$10bo3bobo2bobo$10bo4bobobobob2o$ 12bo4bobo3b2o$4obobobobo4bo3bob3o$o3bo4b3ob2o9b2o$o5b2o3bobo$bo2bo4b2o 3b2o$8b2obobobobobobob4o$bo2bo4b2o2bo2b2o4bo3bo$o5b2o3bobobo3b2o5bo$o 3bo4b2o2bo2b2o4bo2bo$4obobobobobobob2o$11b2o3b2o4bo2bo$13bobo3b2o5bo$b 2o9b2ob3o4bo3bo$2b3obo3bo4bobobobob4o$2b2o3bobo4bo$2b2obobobobo4bo$5bo bo2bobo3bo$4b2obo2b3o2bo$6b2o4b3o$7b3o$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
183-cell Max variant, by Mateusz Naściszewski
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 27, y = 23, rule = B3/S23 17b2o$17bob2o$12b3o3b2obob2o$11bo2b3o2bobobo$4b2o4bo3b2o5b3o$4bo5bo5bo bobo2bo$b4o7bo5bo$bo7bobo9bo2bobo$3bo2b2ob3ob2o6bobobo$o4bo3bobobo$bob o3bobo2bo2b2o7bo$2bob2o2bo2bobobo2bo2b2obo$2bo7b2o2bo2bobo3bobo$13bobo bo3bo4bo$bobobo6b2ob3ob2o2bo$obo2bo9bobo7bo$8bo5bo7b4o$3bo2bobobo5bo5b o$3b3o5b2o3bo4b2o$3bobobo2b3o2bo$2b2obob2o3b3o$6b2obo$8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
151-cell 27 × 23 predecessor, by Rocknlol
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 25, y = 23, rule = B3/S23 16b2o$11bo5b2o3b2o$4b2o6b2o4b2o$2bo5bobo2b4ob3o2bo$3b3o3b2o2bo8bo$15bo 3bo3bo$4o7bo3bobobobo$o2bo4b3o10bobo$6bobobob2o6bo2b2o$4bobobo3bobo7bo $3obo2b2ob2o3bo$bobo4bobobobobo4bobo$9bo3b2ob2o2bob3o$2bo7bobo3bobobo$ 2o2bo6b2obobobo$bobo10b3o4bo2bo$3bobobobo3bo7b4o$bo3bo3bo$2bo8bo2b2o3b 3o$bo2b3ob4o2bobo5bo$5b2o4b2o6b2o$b2o3b2o5bo$7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
155-cell 25 × 23 predecessor, by Rocknlol
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 25, y = 21, rule = B3/S23 11bo2bob3obobo$16bobo2b2o$2bo6b3ob3obo4bobo$14bobo2bobo2bo$3b3o3bo11bo $2o8b2o4b3o5bo$obo3bobo7bobobo$5b2o4b2o6bo2b2o$2bo3b3o3bo2b2o4bob2o$2b ob2o2b3obobo2bob3ob2o$bo2bo5bobobo5bo2bo$2ob3obo2bobob3o2b2obo$2obo4b 2o2bo3b3o3bo$b2o2bo6b2o4b2o$4bobobo7bobo3bobo$o5b3o4b2o8b2o$3bo11bo3b 3o$o2bobo2bobo$obo4bob3ob3o6bo$2b2o2bobo$2bobob3obo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
161-cell 25 × 21 predecessor, by Rocknlol
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 23, y = 23, rule = B3/S23 14bobobobo$b2o13b2o3b2o$4bo2bo2b2o5bo$b2obo4bo2b2obobo2bobo$4b2obobo2b o2bo2b2o$bo2b3o6bobo3bob2o$o2bo2bob2o2b2o2b2obo2bo$o4b2o2bo5bobo2bobo$ 3o4bobob2o2b2o3bobo$5b3o6bo3b2o$ob3o2bob2o4bo2b2ob2o$obo5b2obob2o5bobo $2ob2o2bo4b2obo2b3obo$3b2o3bo6b3o$obo3b2o2b2obobo4b3o$obo2bobo5bo2b2o 4bo$o2bob2o2b2o2b2obo2bo2bo$2obo3bobo6b3o2bo$3b2o2bo2bo2bobob2o$obo2bo bob2o2bo4bob2o$5bo5b2o2bo2bo$2o3b2o13b2o$2bobobobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
189-cell 23 × 23 predecessor, by Rocknlol
(click above to open LifeViewer)
RLE: here Plaintext: here

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]

Max at generation 50

See also

References

  1. ↑ "Coe's improvements on the spacefiller". Paul Callahan. Retrieved on June 10, 2011.
  2. ↑ Spacefiller.lif in Alan Hensel's lifebc.zip pattern collection.
  3. ↑ Alex Greason (February 15, 2020). Message in #cgol on the Conwaylife Lounge Discord server
  4. ↑ Adam P. Goucher (February 16, 2020). Message in #cgol on the Conwaylife Lounge Discord server
  5. ↑ Mateusz Naściszewski (April 16, 2020). Message in #cgol on the Conwaylife Lounge Discord server
  6. ↑ Mateusz Naściszewski (April 17, 2020). Message in #cgol on the Conwaylife Lounge Discord server
  7. ↑ Rocknlol (November 17, 2021). Small Spacefillers (discussion thread) at the ConwayLife.com forums
  8. ↑ "Max". The Life Lexicon. Stephen Silver. Retrieved on May 24, 2009.


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