Max: Difference between revisions
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|discoveryear = 1995 | |discoveryear = 1995 | ||
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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]].<ref>{{CiteLexicon|file=lex_m.htm#max|name=Max|accessdate=May 24, 2009}}</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> | ||
== | == Gallery == | ||
{| | {| | ||
|[[File:Max gen50.png|thumb|left|Max at [[generation]] 50]] | |||
|[[ | |||
|} | |} | ||
==See also== | == See also == | ||
*[[Halfmax]] | * [[Halfmax]] | ||
*[[Quartermax]] | * [[Quartermax]] | ||
*[[Spacefiller 1]] | * [[Spacefiller 1]] | ||
==References== | == References == | ||
<references> | <references> | ||
<ref name="message678458385414488064">{{CiteDiscord | <ref name="message678458385414488064">{{CiteDiscord | ||
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</references> | </references> | ||
==External links== | == External links == | ||
* {{LinkLexicon|lex_s.htm#spacefiller}} | * {{LinkLexicon|lex_s.htm#spacefiller}} | ||
[[Category:Infinite growth]] | [[Category:Infinite growth]] | ||
[[Category:Quadratic growth]] | [[Category:Quadratic growth]] | ||
__NOTOC__ | __NOTOC__ | ||
Latest revision as of 16:11, 21 August 2024
| Max | |||||||||
| View static image | |||||||||
| Pattern type | Spacefiller | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 187 | ||||||||
| Bounding box | 27 × 27 | ||||||||
| Static symmetry | C2_1 | ||||||||
| 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] In December 2022, iNoMed constructed a 127-cell 27 × 23 variant of Rocknlol's 151-cell pattern;[8] a few days later Rocknlol found a 134-cell 21 × 21 variation as well as a 110-cell 27 × 23 variation. Both of these records were reduced further still to a 107-cell predecessor and a 21 × 19 predecessor.[9]
| A smaller but higher-population grandparent of the Max spacefiller, by Mateusz Naściszewski (click above to open LifeViewer) RLE: here Plaintext: here |
| 183-cell Max variant, by Mateusz Naściszewski (click above to open LifeViewer) RLE: here Plaintext: here |
| 127-cell 27 × 23 spacefiller, by iNoMed (click above to open LifeViewer) RLE: here Plaintext: here |
| 110-cell 27 × 23 spacefiller, by Rocknlol (click above to open LifeViewer) RLE: here Plaintext: here |
| 134-cell 21 × 21 spacefiller, by Rocknlol (click above to open LifeViewer) RLE: here Plaintext: here |
| 107-cell 25 × 23 predecessor, by Rocknlol (click above to open LifeViewer) RLE: here Plaintext: here |
| 142-cell 21 × 19 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.[10]
Gallery
 |
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
- ↑ iNoMed (December 29, 2022). Re: Small Spacefillers (discussion thread) at the ConwayLife.com forums
- ↑ Rocknlol (January 8, 2023). Re: 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