Metamorphosis II: Difference between revisions
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|rulemax = B38/S238 | |rulemax = B38/S238 | ||
|rulespecial = [[Conway's Game of Life|Conway Life]] | |rulespecial = [[Conway's Game of Life|Conway Life]] | ||
|synthesis = | |synthesis = 40 | ||
|isorulemin = B3/S23-k | |isorulemin = B3/S23-k | ||
|isorulemax = B34eqy5jk6ace8/S234cez5ekr6ei8 | |isorulemax = B34eqy5jk6ace8/S234cez5ekr6ei8 | ||
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|apgcode = xp60_yc33yb33zzy95hg1gh5y75hg1gh5zy8g8g01yd10g8gz33y578g877yd778g87y533zy8g8gy1712y1217y1g8gz66y578g877yd778g87y566zya88488y988488zy95404045y75404045zzyc66yb66 | |apgcode = xp60_yc33yb33zzy95hg1gh5y75hg1gh5zy8g8g01yd10g8gz33y578g877yd778g87y533zy8g8gy1712y1217y1g8gz66y578g877yd778g87y566zya88488y988488zy95404045y75404045zzyc66yb66 | ||
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'''Metamorphosis II''' is a {{period|60}} [[oscillator]] built by [[Robert Wainwright]] on December 13, {{year|1994}} based on a period 30 [[glider]]-to-[[LWSS]] [[converter]] using a [[queen bee shuttle pair]] and [[LWSS-LWSS bounce]]. This converter was first found by [[Paul Rendell]], January 1986 or earlier, but wasn't widely known about until [[Paul Callahan]] rediscovered it on December 9, 1994.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> [[GUYTU6J]] found a {{gliders|43}} [[synthesis]] for this oscillator on May 11, {{year|2020}},<ref name="post96624" /> and reduced it to {{gliders|41| | '''Metamorphosis II''' is a {{period|60}} [[oscillator]] built by [[Robert Wainwright]] on December 13, {{year|1994}} based on a period 30 [[glider]]-to-[[LWSS]] [[converter]] using a [[queen bee shuttle pair]] and [[LWSS-LWSS bounce]]. This converter was first found by [[Paul Rendell]], January 1986 or earlier, but wasn't widely known about until [[Paul Callahan]] rediscovered it on December 9, 1994.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> | ||
[[GUYTU6J]] found a {{gliders|43}} [[synthesis]] for this oscillator on May 11, {{year|2020}},<ref name="post96624" /> and reduced it to {{gliders|41|text=41 gliders}} on August 3, {{year|2021}}.<ref name="post134437" /> On September 25, {{year|2024}}, [[KtT]] reduced the cost to {{gliders|40|text=40 gliders}}.<ref name="post194781"/><ref name="j7918920383"/> | |||
It can be {{LinkCatagolue|xp420_yc33yzyw33zzy95hg1gh5yzys5hg1gh5zy8g8g01yzyy10g8gz33y578g877yzyy778g87y533zzzzzzzy8g8gyv712y1217yvg8gz66y578g877yzyy778g87y566zya88488yzyu88488zy95404045yzys5404045zzyc66yzyw66|name=extended|style=raw}}, providing a 150-cell oscillator of all periods of the form <tt>60 + 360*n</tt>. | It can be {{LinkCatagolue|xp420_yc33yzyw33zzy95hg1gh5yzys5hg1gh5zy8g8g01yzyy10g8gz33y578g877yzyy778g87y533zzzzzzzy8g8gyv712y1217yvg8gz66y578g877yzyy778g87y566zya88488yzyu88488zy95404045yzys5404045zzyc66yzyw66|name=extended|style=raw}}, providing a 150-cell oscillator of all periods of the form <tt>60 + 360*n</tt>. | ||
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== References == | == References == | ||
<references> | <references> | ||
<ref name="j7918920383">{{CiteCatagolueJob|job=7918920383|date=September 25, 2024}}</ref> | |||
<ref name="post96624">{{LinkForumThread | <ref name="post96624">{{LinkForumThread | ||
|format = ref | |format = ref | ||
| Line 48: | Line 51: | ||
|author = GUYTU6J | |author = GUYTU6J | ||
|date = August 3, 2021 | |date = August 3, 2021 | ||
}}</ref> | |||
<ref name="post194781">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Synthesising Oscillators | |||
|p = 194781 | |||
|author = KtT | |||
|date = September 25, 2024 | |||
}}</ref> | }}</ref> | ||
</references> | </references> | ||
Revision as of 17:18, 25 September 2024
| Metamorphosis II | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Oscillator type | Relay | ||||||||
| Number of cells | 150 | ||||||||
| Bounding box | 53 × 51 | ||||||||
| Period | 60 (mod: 39) | ||||||||
| Heat | 153.9 | ||||||||
| Volatility | 0.98 | 0.24 | ||||||||
| Kinetic symmetry | -c+c | ||||||||
| Discovered by | Robert Wainwright | ||||||||
| Year of discovery | 1994 | ||||||||
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Metamorphosis II is a period-60 oscillator built by Robert Wainwright on December 13, 1994 based on a period 30 glider-to-LWSS converter using a queen bee shuttle pair and LWSS-LWSS bounce. This converter was first found by Paul Rendell, January 1986 or earlier, but wasn't widely known about until Paul Callahan rediscovered it on December 9, 1994.[1]
GUYTU6J found a 43-glider synthesis for this oscillator on May 11, 2020,[2] and reduced it to 41 gliders on August 3, 2021.[3] On September 25, 2024, KtT reduced the cost to 40 gliders.[4][5]
It can be extended, providing a 150-cell oscillator of all periods of the form 60 + 360*n.
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ GUYTU6J (May 11, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ GUYTU6J (August 3, 2021). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ KtT (September 25, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#7918920383) (September 25, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
External links
- Metamorphosis II at the Life Lexicon
Categories:
- Patterns
- Oscillators with between 150 and 159 cells
- Periodic objects with minimum population between 150 and 159
- Patterns with between 150 and 159 cells
- Patterns found by Robert Wainwright
- Patterns found in 1994
- Patterns that can be constructed with 40 gliders
- Oscillators
- Relays
- Oscillators with period 60
- Oscillators with mod 39
- Oscillators with heat between 150 and 159
- Oscillators with volatility 0.98
- Oscillators with strict volatility 0.24
- Oscillators with -c+c symmetry