Difference between revisions of "Sawtooth 260"

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'''Sawtooth 262''' 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.
 
'''Sawtooth 262''' 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.
  
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 136-[[cell]] version of the [[4-engine Cordership]]. A single [[figure eight]] reflector is used to delete two outbound gliders with each returning glider.
  
 
==Original form==
 
==Original form==
The original form of this sawtooth was discovered on July 7, 2005. It used a slightly larger Cordership at its top-left, and two figure eights instead of one figure eight, [[eater 1]], [[boat]] and [[block]] for glider deletion. It had a minimum repeating population of 269.
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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 two figure eights instead of one figure eight, [[eater 1]], [[boat]] and [[block]] for glider deletion. It had a minimum repeating population of 269.
  
 
==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.
 
Image:Sawtooth2_pop.png|The number of alive cells plotted versus the number of elapsed [[generation]]s roughly forms an ever-increasing sawtooth graph.
Image:Sawtooth262_orig.png|The original form of this sawtooth used a different Cordership and an extra figure eight. <br />'''Manipulate via Java:''' [http://www.conwaylife.com/?p=sawtooth269 click here]<br />'''Download [[RLE]]:''' [http://www.conwaylife.com/pattern.asp?p=sawtooth269.rle click here]
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Image:Sawtooth262_orig.png|The original form of this sawtooth used the 3-engine Cordership and an extra figure eight. <br />'''Manipulate via Java:''' [http://www.conwaylife.com/?p=sawtooth269 click here]<br />'''Download [[RLE]]:''' [http://www.conwaylife.com/pattern.asp?p=sawtooth269.rle click here]
 
</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

Revision as of 14:54, 25 March 2009

Sawtooth 262
Sawtooth 262 image
Pattern type Sawtooth
Number of cells 262
Bounding box 223×161
Discovered by David Bell
Year of discovery 2005

Sawtooth 262 is a diagonal sawtooth that was discovered by David Bell on July 9, 2005. It is currently the smallest sawtooth in the sense that its minimum repeating population of 262 is the least of any known sawtooth.

The pattern works by using 180-degree glider reflections from the 136-cell version of the 4-engine Cordership. A single figure eight reflector is used to delete two outbound gliders with each returning glider.

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 two figure eights instead of one figure eight, eater 1, boat and block for glider deletion. It had a minimum repeating population of 269.

Image gallery

External links