Difference between revisions of "Sawtooth 260"

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{{Pattern|type=Sawtooth|name=Sawtooth 2|discoverer=David Bell|discoveryear=2005|pname=sawtooth2|c=262|bx=223|by=161|life105=true|life106=true|plaintext=true|rle=true}}
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{{Sawtooth
'''Sawtooth 2''' is a diagonal [[sawtooth]] that was discovered by [[:Category:Patterns found by David Bell|David Bell]] on July 9, [[:Category:Patterns found in 2005|2005]]. It is currently the smallest sawtooth in the sense that its minimum repeating population of 262 is the least of any known sawtooth.
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|name         = Sawtooth 260
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|pname       = sawtooth260
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|c           = 260
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|bx           = 154
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|by           = 100
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|discoverer  = David Bell
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|discoveryear = 2010
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|plaintext   = true
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|rle         = true
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}}
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'''Sawtooth 260''' is a diagonal [[sawtooth]] that was discovered by [[David Bell]] on March 19, {{year|2010}}. It was the smallest known sawtooth in terms of its minimum repeating population of 260 up until January 26th, 2015.
  
The pattern works by using 180-degree [[glider]] reflections from a 136-cell [[Cordership]]. A single [[figure eight]] reflector is used to delete two outbound gliders with each returning glider.
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The pattern works by using 180-degree [[glider]] reflections from the [[4-engine Cordership]]. Two [[figure eight]]s are used to delete two outbound gliders with each returning glider.
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On January 26th, 2015, [[Chris Cain]] discovered a way to use a [[blocker]] and a [[snake]] in places of the two figure eights, reducing the minimum population by to 252. 4 days later, [[Dave Greene]] moved the blocker so that the snake could be removed, reducing the population to 246. These variants have since been surpassed by other sawtooths such as [[Sawtooth 177]], the current record holder as of January 2019.
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==Original form==
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The original form of this sawtooth was discovered on July 7, 2005. It used the slightly larger [[3-engine Cordership]] at its top-left and had a minimum repeating population of 269.  On July 9, 2005 David Bell found a related sawtooth with a minimum repeating population of 262 which used the 136-cell version of the 4-engine Cordership and a period-8 reflector instead of two figure eights.
  
 
==Image gallery==
 
==Image gallery==
 
<gallery>
 
<gallery>
Image:Sawtooth2_pop.png|The number of alive cells plotted versus the number of elapsed [[generation]]s roughly forms an ever-increasing sawtooth graph.
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Image:Sawtooth260_pop.png|The number of alive cells plotted versus the number of elapsed [[generation]]s roughly forms an ever-increasing sawtooth graph.
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Image:Sawtooth262_orig.png|The original form of this sawtooth used the 3-engine Cordership.<br/>{{JavaRLE|sawtooth269|brief}}
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Image:sawtooth262.png|A related sawtooth with a minimum repeating population of 262<br/>{{JavaRLE|sawtooth262|brief}}
 
</gallery>
 
</gallery>
  
 
==External links==
 
==External links==
 
*[http://pentadecathlon.com/lifenews/2005/08/new_sawtooth_patterns.html New Sawtooth Patterns] at Game of Life News
 
*[http://pentadecathlon.com/lifenews/2005/08/new_sawtooth_patterns.html New Sawtooth Patterns] at Game of Life News
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{{LinkForumThread|f=2|t=1590|title=Smallar Sawtooth}}

Latest revision as of 01:46, 29 December 2019

Sawtooth 260
x = 154, y = 100, rule = B3/S23 46bo$45bobo2$45bo2bo3bob3o$47bo4bo$48bob2obobo$49b2o3bo$50bo15b2o$66b 2o7$74b2o$57bo16b2o$57b3o$49bo6bo3bo$49bo3b3o4bo$49bo3b3obob2o$53b2o3b o2$39bo$39bo$39bo8bo$46bobo$40b3o2bo3bo$41bob5o$47bo$42b2o9$23b3o$27bo $27b2o$27bo2bo$28bobo$28bo$bobo23b2o$o25bobo$bo2bo23b2o$3bobo19b2o$6bo 11b3o6bo$5b3o94bo$5bo95bobo17b2o$3b2o95bo3bo9b2o5b2o$5bo13b3o79bo3bo8b 2o$3bo2bo12b3o80bo3bo$3bobo13b2o82bo3bo$3bo14bo85bobo9b2o27b2o$16b2o2b o84bo10b2o18b2obo5b2o$17bo3bo88b2o24bob2o$17bo2bo89b2o$18b3o130b2o$ 151b2o$147b2o$147b2o3$7b2o$7b2o143b2o$152b2o2$97b2o$95bob2o$94bo$97bo$ 15b2o76b2obo$15b2o76b2o7$105b2o39b2o$105b2o40bo$146bo$146b2o$126bo$ 110b2o15b3o$110b2o18bob2o$106b2o20bo4bo$106b2o22b3o$147b2o$119b2obo24b 2o$112b2o5bob2o18b2o$112b2o27b2o3$143b2o$136b2o5b2o$136b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Pattern type Sawtooth
Number of cells 260
Bounding box 154×100
Expansion factor Unknown
Discovered by David Bell
Year of discovery 2010

Sawtooth 260 is a diagonal sawtooth that was discovered by David Bell on March 19, 2010. It was the smallest known sawtooth in terms of its minimum repeating population of 260 up until January 26th, 2015.

The pattern works by using 180-degree glider reflections from the 4-engine Cordership. Two figure eights are used to delete two outbound gliders with each returning glider.

On January 26th, 2015, Chris Cain discovered a way to use a blocker and a snake in places of the two figure eights, reducing the minimum population by to 252. 4 days later, Dave Greene moved the blocker so that the snake could be removed, reducing the population to 246. These variants have since been surpassed by other sawtooths such as Sawtooth 177, the current record holder as of January 2019.

Original form

The original form of this sawtooth was discovered on July 7, 2005. It used the slightly larger 3-engine Cordership at its top-left and had a minimum repeating population of 269. On July 9, 2005 David Bell found a related sawtooth with a minimum repeating population of 262 which used the 136-cell version of the 4-engine Cordership and a period-8 reflector instead of two figure eights.

Image gallery

External links