Difference between revisions of "Sawtooth 260"
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'''Sawtooth 260''' is a diagonal [[sawtooth]] that was discovered by [[ | '''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 the [[4-engine Cordership]]. Two [[figure eight]]s are used to delete two outbound gliders with each returning glider. | 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. |
Revision as of 01:46, 29 December 2019
Sawtooth 260 | |||||||
View static image | |||||||
Pattern type | Sawtooth | ||||||
---|---|---|---|---|---|---|---|
Number of cells | 260 | ||||||
Bounding box | 154 × 100 | ||||||
Expansion factor | Unknown | ||||||
Discovered by | David Bell | ||||||
Year of discovery | 2010 | ||||||
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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
The number of alive cells plotted versus the number of elapsed generations roughly forms an ever-increasing sawtooth graph.
External links
- New Sawtooth Patterns at Game of Life News
- Smallar Sawtooth (discussion thread) at the ConwayLife.com forums