Difference between revisions of "P76 pi-heptomino hassler"

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m (Note on emulator usage.)
(move heavyweight emulator link so that the statement becomes true; add the 82-cell specification to the appropriate caption; move link to Sokwe's post to earlier in the sentence)
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{{distinguish|p76 pi-heptomino shuttle}}
{{distinguish|p76 pi-heptomino shuttle}}
: ''Alternatively, for other p76 [[pi-heptomino]] [[hassle]]rs, see [[pi-heptomino hassler#p76]].''
: ''Alternatively, for other p76 [[pi-heptomino]] [[hassle]]rs, see [[pi-heptomino hassler#p76]].''
'''p76 pi-heptomino hassler''' is a small {{period|76}} [[oscillator]] found by [[David Raucci]] on April 11, {{year|2021}}. It was originally found in the rotationally symmetric form of two [[pi heptomino]]es and two period-4 oscillators;<ref name="post128061" /> this form with a smaller period-4 oscillator has 82 cells. A monomer was found later the same day by [[James Pascua]],<ref name="post128065" /> which was then improved by [[Matthias Merzenich]] using a [[heavyweight emulator]]; this is the form with the minimum bounding box at {{times|28|28}}.<ref name="post128083" /> On December 18, [[cvojan]] discovered that the oscillator could be stabilized by the [[traffic stop]]; this form has the same bounding box but an even smaller population of 57 cells, and was formerly the smallest-known period-76 oscillator,<ref name="post139008" /> until the discovery of [[44P38|mold on 44P38]] in {{year|2022}}.
'''p76 pi-heptomino hassler''' is a small {{period|76}} [[oscillator]] found by [[David Raucci]] on April 11, {{year|2021}}. It was originally found in the rotationally symmetric form of two [[pi heptomino]]es supported by [[heavyweight emulator]] variants;<ref name="post128061" /> this form with a standard heavyweight emulator has 82 cells. A monomer form supported by a p4 oscillator was found later the same day by [[James Pascua]],<ref name="post128065" /> and was then improved by [[Matthias Merzenich]]<ref name="post128083" />; this is the form with the minimum bounding box at {{times|28|28}}. On December 18, [[cvojan]] discovered that the oscillator could be stabilized by the [[traffic stop]]; this form has the same bounding box but an even smaller population of 57 cells, and was formerly the smallest-known period-76 oscillator,<ref name="post139008" /> until the discovery of [[44P38|mold on 44P38]] in {{year|2022}}.


In its dual form, the bottom pi heptomino and associated [[heavyweight emulator]] can be moved one or two cells to the right, and the oscillator will still work.
In its dual form, the bottom pi heptomino and associated [[heavyweight emulator]] can be moved one or two cells to the right, and the oscillator will still work.
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|viewerconfig = #C [[ ZOOM 8 GPS 8 AUTOSTART ]]
|viewerconfig = #C [[ ZOOM 8 GPS 8 AUTOSTART ]]
|position    = center
|position    = center
|caption      = The original dimer form
|caption      = The early dimer form with 82 cells
|style        = width:300px;
|style        = width:300px;
|apgcode      = xp76_c4o796zuvvy4sgszc97o4ozx11zyf697o4czy7e2ey4vvuzyfo4o79czyg11
|apgcode      = xp76_c4o796zuvvy4sgszc97o4ozx11zyf697o4czy7e2ey4vvuzyfo4o79czyg11

Revision as of 13:02, 9 February 2024

p76 pi-heptomino hassler
x = 23, y = 28, rule = B3/S23 b2o$obo$obob2o$bobobo$3bo$2b2o$b3o$b3o8bobo$b3o8bobo$b3o8b3o$2b2o$3bo$ bobobo$obob2o$obo$b2o4$13b3o2$11bo$11bo$11bo$19b2o$13b3o3bobo$21bo$21b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 15 GPS 8 ]]
View static image
Pattern type Oscillator
Number of cells 57
Bounding box 28 × 28
Period 76
Mod 76
Heat 52.4
Volatility 0.91
Strict volatility 0.81
Discovered by David Raucci
Year of discovery 2021
Not to be confused with p76 pi-heptomino shuttle.
Alternatively, for other p76 pi-heptomino hasslers, see pi-heptomino hassler#p76.

p76 pi-heptomino hassler is a small period-76 oscillator found by David Raucci on April 11, 2021. It was originally found in the rotationally symmetric form of two pi heptominoes supported by heavyweight emulator variants;[1] this form with a standard heavyweight emulator has 82 cells. A monomer form supported by a p4 oscillator was found later the same day by James Pascua,[2] and was then improved by Matthias Merzenich[3]; this is the form with the minimum bounding box at 28 × 28. On December 18, cvojan discovered that the oscillator could be stabilized by the traffic stop; this form has the same bounding box but an even smaller population of 57 cells, and was formerly the smallest-known period-76 oscillator,[4] until the discovery of mold on 44P38 in 2022.

In its dual form, the bottom pi heptomino and associated heavyweight emulator can be moved one or two cells to the right, and the oscillator will still work.

On October 16, 2021, Raucci discovered that two of these oscillators could be used to create a p152 loaf hassler.[5]

Gallery

x = 27, y = 36, rule = B3/S23 4b2o$4bobo$b2obobo$bobobo$3bo$bo2bo$4bo$o3bo$o3bo6b2ob2o$4bo7bobo$bo2b o8bo$3bo$bobobo$b2obobo$4bobo$4b2o5$21b2o$20bobo$20bobob2o$21bobobo$ 23bo$13bo8bo2bo$12bobo7bo$11b2ob2o6bo3bo$22bo3bo$22bo$22bo2bo$23bo$21b obobo$20bobob2o$20bobo$21b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 GPS 8 AUTOSTART ]]
The early dimer form with 82 cells
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 23, y = 28, rule = B3/S23 b2o$obo$obob2o$bobobo$3bo$2b2o$b3o$b3o8bobo$b3o8bobo$b3o8b3o$2b2o$3bo$ bobobo$obob2o$obo$b2o3$5bo$5b3o4b3o$3b2o3bo$2bo3bobo9b2o$3b5o3b5o3bo$ 8b3o6bobob2o$3b2ob2obo7bobo2bo$4bobo3bo3b2obob2o$4bobo10bo$5bo10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 GPS 8 AUTOSTART ]]
The monomer in its former smallest form by bounding box
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here


LCM oscillators

The LCM oscillators below are listed due to being the smallest known ones by population while satisfying the condition that at least one cell oscillates at the full period.[6]

x = 34, y = 26, rule = B3/S23 32b2o$29b2o2bo$29bob2o$o27bo$3o25bo$3bo25bob2o$2b2o25b2o2bo$32b2o3$19b o$b3o3b3o8b2o$17bo$5bo12b2o$5bo13bo$5bo5$14b2o8b2o$14bo2b6o2bo$15b2o6b 2o$12b3o10b3o$12bo2bobo4bobo2bo$13b2o4b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 HEIGHT 500 ]]
75P380 with fumarole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 40, y = 30, rule = B3/S23 30b2o5b2o$30b2o5b2o4$33bobo2$o29b3o3b3o$3o26bo9bo$3bo25b3o5b3o$2b2o26b o7bo3$30b2o5b2o$19bo10b2o5b2o$b3o3b3o8b2o$17bo$5bo12b2o$5bo13bo$5bo5$ 14b2o8b2o$14bo2b6o2bo$15b2o6b2o$12b3o10b3o$12bo2bobo4bobo2bo$13b2o4b2o 4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 HEIGHT 500 ]]
91P532 with 34P14 shuttle
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 45, y = 25, rule = B3/S23 31b2o$31b2o$o$3o$3bo$2b2o37bob2o$40bo3bo$34bo4bo$33bobo4bobo$19bo16bo 4bo$b3o3b3o8b2o11bo3bo$17bo13b2obo$5bo12b2o$5bo13bo$5bo$43b2o$43b2o3$ 14b2o8b2o$14bo2b6o2bo$15b2o6b2o$12b3o10b3o$12bo2bobo4bobo2bo$13b2o4b2o 4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 HEIGHT 500 ]]
83P760 with Beluchenko's p40
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 34, y = 32, rule = B3/S23 30bo$30b3o$28b2o3bo$27bo2b3o$21bob2obobo$21b2obobobobo$26bob2o$26b2o2$ o$3o$3bo25b2o$2b2o26bo$29bo$29b2o2$19bo$b3o3b3o8b2o$17bo$5bo12b2o$5bo 13bo$5bo5$14b2o8b2o$14bo2b6o2bo$15b2o6b2o$12b3o10b3o$12bo2bobo4bobo2bo $13b2o4b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 HEIGHT 500 ]]
90P836 with rattlesnake
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 42, y = 31, rule = B3/S23 31b2o$31b2o2$34bo2bo$33bo6bo$33bo7bo$25b2o6bo3b2obo$25b2o7b3o$o28b3o$ 3o25bo3bo$3bo28bo$2b2o28bo$28bo2bo$31bo2$19bo9bobo$b3o3b3o8b2o10bo$17b o$5bo12b2o$5bo13bo$5bo5$14b2o8b2o$14bo2b6o2bo$15b2o6b2o$12b3o10b3o$12b o2bobo4bobo2bo$13b2o4b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 HEIGHT 500 ]]
91P988 with Beluchenko's p13
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 41, y = 35, rule = B3/S23 21b2o$22bo$22bob2o$23bo$30bo$25bo3b2o$27bo$27b3o5$o31b3o$3o31bo$3bo27b 2o3bo$2b2o27bo$38bo$36b2obo$39bo$19bo19b2o$b3o3b3o8b2o$17bo$5bo12b2o$ 5bo13bo$5bo5$14b2o8b2o$14bo2b6o2bo$15b2o6b2o$12b3o10b3o$12bo2bobo4bobo 2bo$13b2o4b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 HEIGHT 500 ]]
87P1900 with 30P25
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 45, y = 28, rule = B3/S23 33b2o7b2o$33b2o7b2o4$o$3o30bo9bo$3bo28bobo7bobo$2b2o28bo2bo5bo2bo$33b 2o7b2o$32bo11bo2$19bo$b3o3b3o8b2o12bo11bo$17bo15b2o7b2o$5bo12b2o12bo2b o5bo2bo$5bo13bo12bobo7bobo$5bo27bo9bo5$14b2o8b2o7b2o7b2o$14bo2b6o2bo7b 2o7b2o$15b2o6b2o$12b3o10b3o$12bo2bobo4bobo2bo$13b2o4b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 HEIGHT 500 ]]
105P2356 with Merzenich's p31
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here


See also

References

  1. ↑ David Raucci (April 11, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ James Pascua (April 11, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. ↑ Matthias Merzenich (April 11, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. ↑ cvojan (December 18, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. ↑ David Raucci (October 16, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  6. ↑ Skopje repository (July 22, 2023)

External links

Retrieved from "https://conwaylife.com/w/index.php?title=P76_pi-heptomino_hassler&oldid=145473"