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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 is tied with [[spacefiller 2]] as the smallest known spacefiller, and in terms of its 27&times;27 bounding box it wins outright.<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 is 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>


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><ref>{{Cite web|url=http://www.ericweisstein.com/encyclopedias/life/Max.html|title=Max|publisher=Eric Weisstein's Treasure Trove of Life C.A.|author=Eric Weisstein|accessdate=May 24, 2009}}</ref>
On February 16, 2020, Alex Greason and Adam P. Goucher found 26x26 and 25x25 predecessors to Max that improved on the bounding box at the cost of increased population.<ref>{{Cite web|url=https://discordapp.com/channels/357922255553953794/370571014654001154/678530168649678850|title=Discord #cgol board|publisher=Conwaylife Lounge|author=Adam P. Goucher|accessdate=February 16, 2020}}</ref>
 
{{EmbedViewer
|viewerconfig = #C [[ THUMBLAUNCH THUMBSIZE 2 ]]
|pname        = maxpredecessor25x25
|caption      = A smaller but higher-population grandparent<br />of the Max spacefiller, by Adam P. Goucher<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==

Revision as of 10:02, 16 February 2020

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 ]]
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 is 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]

On February 16, 2020, Alex Greason and Adam P. Goucher found 26x26 and 25x25 predecessors to Max that improved on the bounding box at the cost of increased population.[3]

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 [[ THUMBLAUNCH THUMBSIZE 2 ]]
A smaller but higher-population grandparent
of the Max spacefiller, by Adam P. Goucher

(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.[4]

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. ↑ Adam P. Goucher. "Discord #cgol board". Conwaylife Lounge. Retrieved on February 16, 2020.
  4. ↑ "Max". The Life Lexicon. Stephen Silver. Retrieved on May 24, 2009.
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