Pentoad: Difference between revisions

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|viewerconfig    = #C [[ GPS 2 ZOOM 16 LOOP 5 ]]
|viewerconfig    = #C [[ GPS 2 ZOOM 16 LOOP 5 ]]
}}
}}
'''Pentoad''' (or '''eater-bound Z-hexomino'''<ref>{{LinkNiemiec|20et2z.rle|title=Eater-bound Z-hexomino glider synthesis RLE file|nobullet=nobullet}}</ref>) is a {{period|5}} [[oscillator]] that was found by [[Bill Gosper]] in June {{year|1977}}. It consists of a [[Z-hexomino]] that is stabilized by two [[eater 1]]s.
'''Pentoad''' (or '''eater-bound Z-hexomino'''<ref>{{cite web|url=http://codercontest.com/mniemiec/20et2z.rle|title=Eater-bound Z-hexomino glider synthesis RLE file|author=Mark D. Niemiec|accessdate=April 28, 2009}}</ref>) is a {{period|5}} [[oscillator]] that was found by [[Bill Gosper]] in June {{year|1977}}. It consists of a [[Z-hexomino]] that is stabilized by two [[eater 1]]s.


It was discovered by Scott Kim that this oscillator is [[extensible]] by moving one of the eaters diagonally away by four [[cell]]s and inserting another Z-hexomino in the gap.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> A pentoad constructed in this way with n Z-hexominoes has 14 + 6n cells and [[heat]] 8.8 + 6.4n. The pentoad with two Z-hexominoes is shown below.
It was discovered by Scott Kim that this oscillator is [[extensible]] by moving one of the eaters diagonally away by four [[cell]]s and inserting another Z-hexomino in the gap.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> A pentoad constructed in this way with n Z-hexominoes has 14 + 6n cells and [[heat]] 8.8 + 6.4n. The pentoad with two Z-hexominoes is shown below.
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{{EmbedViewer
{{EmbedViewer
|pname = pentoadwithtwohexominoes
|pname = pentoadwithtwohexominoes
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
|caption      = Pentoad with two Z-hexominoes<br />
}}
==Pentoad 2==
'''Pentoad 2''' is a {{period|5}} [[oscillator]] that is shown as the second pattern in the sixth row of Jason Summers' main period 5 collection.  It is extensible.  The central part is the same as in [[pentoad]].
A {{gliders|16}} [[Glider synthesis|synthesis]] was found by [[Jeremy Tan]] on March 19, {{year|2019}},<ref name="post73454" /> which was later improved to {{gliders|12|text=12 gliders}} by [[Goldtiger997]].<ref name="post74280" />
This oscillator first appeared [[semi-natural]]ly in September {{year|2016}}.<ref name="post35579" />
{{EmbedViewer
|pname = pentoad2
|position    = center
|position    = center
|caption      = Pentoad with two Z-hexominoes
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
|style        = width:360px;
|caption      = An fairly common alternate stabilization of pentoad, named '''pentoad 2'''<br />
}}
 
{{EmbedViewer
|pname = pentoad1h2
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
|caption      = A hybrid version of the two stabilizations, named '''pentoad 1H2'''<br />
}}
}}




==See also==
==See also==
*[[Biting off more than they can chew]]
* [[Biting off more than they can chew]]
*[[Toad]]
* [[Toad]]
*[[Smallest period 5 oscillators]]
* [[Pentoad 1H2]]
* [[Smallest period 5 oscillators]]


==References==
==References==
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|author = goldenratio
|author = goldenratio
|date  = September 3, 2020
|date  = September 3, 2020
}}</ref>
<ref name="post35579">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 35579
|author = Apple Bottom
|date  = September 11, 2016
}}</ref>
<ref name="post73454">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 73454
|author = Jeremy Tan
|date  = March 19, 2019
}}</ref>
<ref name="post74280">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 74280
|author = Goldtiger997
|date  = April 1, 2019
}}</ref>
}}</ref>
</references>
</references>

Revision as of 12:57, 26 August 2022

Pentoad
x = 13, y = 12, rule = B3/S23 11b2o$11bo$9bobo$9b2o$5b2o$6bo$6bo$6b2o$2b2o$bobo$bo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 2 ZOOM 16 LOOP 5 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 20
Bounding box 13 × 12
Period 5 (mod: 5)
Heat 8.8
Volatility 0.65 | 0.65
Kinetic symmetry Unspecified
Discovered by Bill Gosper
Year of discovery 1977

Pentoad (or eater-bound Z-hexomino[1]) is a period-5 oscillator that was found by Bill Gosper in June 1977. It consists of a Z-hexomino that is stabilized by two eater 1s.

It was discovered by Scott Kim that this oscillator is extensible by moving one of the eaters diagonally away by four cells and inserting another Z-hexomino in the gap.[2] A pentoad constructed in this way with n Z-hexominoes has 14 + 6n cells and heat 8.8 + 6.4n. The pentoad with two Z-hexominoes is shown below.

goldenratio found a 10-glider synthesis of this oscillator on September 3, 2020.[3]

x = 17, y = 16, rule = b3/s23 15b2o$15bob$13bobob$13b2o2b$9b2o6b$10bo6b$10bo6b$10b2o5b$5b2o10b$6bo 10b$6bo10b$6b2o9b$2b2o13b$bobo13b$bo15b$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
Pentoad with two Z-hexominoes

(click above to open LifeViewer)
RLE: here Plaintext: here

Pentoad 2

Pentoad 2 is a period-5 oscillator that is shown as the second pattern in the sixth row of Jason Summers' main period 5 collection. It is extensible. The central part is the same as in pentoad.

A 16-glider synthesis was found by Jeremy Tan on March 19, 2019,[4] which was later improved to 12 gliders by Goldtiger997.[5]

This oscillator first appeared semi-naturally in September 2016.[6]

x = 17, y = 12, rule = B3/S23 10b2o$10bobo2b2o$11b3ob2o2$7b2o$8bo$8bo$8b2o2$2ob3o$2o2bobo$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
An fairly common alternate stabilization of pentoad, named pentoad 2

(click above to open LifeViewer)
RLE: here Plaintext: here
x = 15, y = 12, rule = B3/S23 8b2o$8bobo2b2o$9b3ob2o2$5b2o$6bo$6bo$6b2o$2b2o$bobo$bo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
A hybrid version of the two stabilizations, named pentoad 1H2

(click above to open LifeViewer)
RLE: here Plaintext: here


See also

References

  1. ↑ Mark D. Niemiec. "Eater-bound Z-hexomino glider synthesis RLE file". Retrieved on April 28, 2009.
  2. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  3. ↑ goldenratio (September 3, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. ↑ Jeremy Tan (March 19, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. ↑ Goldtiger997 (April 1, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  6. ↑ Apple Bottom (September 11, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
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