p44 pi-heptomino hassler

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p44 pi-heptomino hassler
x = 31, y = 42, rule = B3/S23 12b2o$12bobo$14b3o$13bo3bo$13b2ob2o2$11bo7bo$11bo7bo$11bo7bo7$14b3o$2o 12b3o12b2o$2o11bo3bo11b2o$13b2ob2o5$13b2ob2o$2o11bo3bo11b2o$2o12b3o12b 2o$14b3o7$11bo7bo$11bo7bo$11bo7bo2$13b2ob2o$13bo3bo$14b3o$16bobo$17b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 800 THUMBSIZE 3 ZOOM 15 GPS 8 LOOP 44 ]]
Pattern type Oscillator
Number of cells 72
Bounding box 31 × 42
Period 44
Mod 44
Heat 66
Volatility 0.94
Strict volatility 0.94
Discovered by David Buckingham
Year of discovery 1992
For other period-44 pi-heptomino hasslers, see Period-44 pi-heptomino hasslers.

p44 pi-heptomino hassler is a period-44 oscillator discovered by David Buckingham on April 2, 1992.[1] It was improved to another form by Noam Elkies in April 1996 and to the current form by iNoMed[2] based on a reaction by cvojan on May 10, 2022.[3] The oscillator consists of two pi-heptominos being hassled by two of a transparent catalyst (originally two heavyweight emulators) and four blocks. On July 25, 2022, Mitchell Riley found a stabilization using only still lifes, specifically four eater 2s and two blocks.[4]

Buckingham used two copies of this oscillator to make the first period-44 glider gun. This became obsolete in October 1996 when Buckingham found a gun that only used one copy of the oscillator.

In 1994 Dean Hickerson found a way to double the oscillator's period by adding two molds, creating the first gliderless period 88 oscillator. David Buckingham also found a way to triple the period before August 1994. Doubling the period with molds also works with the related p50 pi-heptomino hassler, but tripling in the same way 44 becomes 132 does not. In 2022, on the same day as the eater 2 stabilization above, dani found a non-trivial period-sextupled version of the oscillator, which also works with other versions of the catalyst.[5]

x = 31, y = 44, rule = b3/s23 9b2o10b2o8b$8bo2bo8bo2bo7b$8b3o10b3o7b$11b10o10b$10bo2b6o2bo9b$10b2o2b 4o2b2o9b4$20b2o9b$20b2o9b$12b2o17b6$2o12b3o12b2o$2o11bo3bo11b2o$13b2ob 2o13b5$13b2ob2o13b$2o11bo3bo11b2o$2o12b3o12b2o6$12b2o17b$20b2o9b$20b2o 9b4$10b2o2b4o2b2o9b$10bo2b6o2bo9b$11b10o10b$8b3o10b3o7b$8bo2bo8bo2bo7b $9b2o10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 460 THUMBSIZE 2 ZOOM 8 ]]
The original form of the oscillator
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RLE: here Plaintext: here
Catagoluehere
x = 33, y = 40, rule = B3/S23 21bo$20bobo$20bobo$19b2ob3o$25bo$19b2ob3o$19b2obo$4bo$3bobo$3bobo$b3ob 2o$o$b3ob2o$3bob2o2$16b3o12b2o$15bo3bo11b2o$15b2ob2o5$15b2ob2o$15bo3bo 11b2o$16b3o12b2o2$3bob2o$b3ob2o$o$b3ob2o$3bobo$3bobo$4bo$19b2obo$19b2o b3o$25bo$19b2ob3o$20bobo$20bobo$21bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 460 THUMBSIZE 2 ZOOM 8 ]]
p1 stabilization
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RLE: here Plaintext: here
Catagoluehere


Gallery

x = 212, y = 60, rule = b3/s23 8b2o10b2o190b$7bo2bo8bo2bo189b$7b3o2b6o2b3o189b$10b2o6b2o192b$9bo10bo 191b$9b2obo4bob2o191b$14b2o179b2o15b$191bobo2bo15b$189b3ob2o17b$9b2o 177bo23b$9b2o178b3ob2o17b$38b3o150bob2o17b$40bo75b2o82bo11b$30b2o7bo 77bo80bo3bo9b$30bo86bobo83bo8b$28bobo87b2o78bo4bo8b$15bo12b2o169b5o8b$ 2o12b3o195b$2o11bo3bo26bo7b2o67bo90b$13b2ob2o24b3o7b2o63bo3bo3b2o7b2o 76b$41bo74bo7bobo7bo77b$41b2o73b2o2bo3bobo5bobo56bo20b$27b3o29b2o50bo 8bo4bo6b2o53bo3bo3b2o7b2o6b$29bo29bo51b3o72bo7bobo7bo7b$13b2ob2o10bo 28bobo54bo71b2o2bo3bobo5bobo7b$2o11bo3bo39b2o54b2o66bo8bo4bo6b2o8b$2o 12b3o111b2o51b3o28b$15bo86b2o22bo2bobo4b2o46bo27b$102b2o20b2o2bobo5b2o 45b2o27b$104b3o19bo6b3o62b2o12b$41b3o4b3o53bo30bo60bo2bobo10b$41bo2bo 2bo2bo51b3o30b3o56b2o2bobo11b$25b2o12b2o10b2o49b2o32b2o58bo15b$9b2o14b 2o12bo12bo49bo34bo31b2o38b2ob$9b2o28bo3b2o2b2o3bo50bo32bo31bobo38bobo$ 40b3o6b3o64b2o4b2o44bobob2o32b2obobo$102b2o11bobo4bobo11b2o31bobobo32b obobob$14b2o9b2o38b2o48bo8bo46bo36bo3b$9b2obo4bob2o3bobo38bobo33b3o11b obo4bobo11b3o30bo2bo13b2o4b2o13bo2bob$9bo10bo3bobob2o32b2obobo34b3o11b 2o4b2o11b3o34bo12bobo4bobo12bo4b$10b2o6b2o5bobobo32bobobo101bo3bo12bo 8bo12bo3bo$7b3o2b6o2b3o4bo36bo37bo34bo30bo3bo12bobo4bobo12bo3bo$7bo2bo 8bo2bo2bo2bo34bo2bo41b2o20b2o40bo13b2o4b2o13bo4b$8b2o10b2o6bo5bo7b2o4b 2o7bo5bo37b2o5b2o20b2o5b2o30bo2bo34bo2bob$24bo3bo3b2ob2o5b3o2b3o5b2ob 2o3bo3bo103bo36bo3b$24bo3bo5bo7b2o4b2o7bo5bo3bo32b2o36b2o29bobobo32bob obob$28bo34bo38bo34bo31b2obobo30bobob2ob$25bo2bo34bo2bo35b3o30b3o34bob o30bobo4b$27bo36bo38b2o30b2o35b2o32b2o4b$25bobobo3b2o22b2o3bobobo34bo 2bo30bo2bo73b$24bobob2o3b2o22b2o3b2obobo33b2o34b2o73b$24bobo38bobo47b 2o6b2o87b$25b2o38b2o48b2o6b2o87b$41b2o6b2o161b$43bo4bo136b2o6b2o17b$ 41b3o4b3o134b2o6b2o17b3$41b2o6b2o161b$41b2o6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 1000 THUMBSIZE 2 ZOOM 4 ]]
Buckingham's original period 44 gun and its subsequent improvement, as well as the small period-44 MWSS gun found by Dietrich Leithner
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RLE: here Plaintext: here
x = 39, y = 29, rule = B3/S23 20bo8b3o$19bobo9bo$9b2o3b2o4bo9bo$9bo4bo$11bo3bo$10b2o2b2o$8bo2bobo18b 2obo$8b2o3bo18bob2o$12bo23b2o$12b2o19b2o3bo$33bob3o$6b3o$34b2o$3b2o12b 2o4b2o9b2o$2bobo11bobo4bobo$2bo13bo8bo$b2obo11bobo4bobo$o2b2o12b2o4b2o $2o27bo$6b3o21bo$29bo$12b2o$12bo20b2o$8b2o3bo15b2o2b2o2b2o$8bo2bobo15b 2o2bo2bobo$10b2o2b2o5b2o12b3o$11bo3bo6bo12b2o$9bo4bo4b3o$9b2o3b2o3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 500 THUMBSIZE 2 ZOOM 8 ]]
The smallest known period-44 glider gun (by bounding box)
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x = 43, y = 42, rule = B3/S23 24b2o$24bobo$26b3o$25bo3bo$25b2ob2o2$23bo7bo$23bo7bo$23bo7bo$2bobo$5bo $bo2bo$obobo$o2bo$b2o$26b3o$26b3o12b2o$25bo3bo11b2o$25b2ob2o5$25b2ob2o $25bo3bo11b2o$26b3o12b2o$26b3o$b2o$o2bo$obobo$bo2bo$5bo$2bobo$23bo7bo$ 23bo7bo$23bo7bo2$25b2ob2o$25bo3bo$26b3o$24bobo$24b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 460 THUMBSIZE 2 ZOOM 8 ]]
Period-doubled version
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RLE: here Plaintext: here
Catagoluehere
x = 42, y = 42, rule = B3/S23 23b2o$23bobo$25b3o$24bo3bo$24b2ob2o$4bo$4b3o15bo7bo$7bo14bo7bo$6b2o14b o7bo7$25b3o$2b2o21b3o12b2o$bobo20bo3bo11b2o$bo22b2ob2o$2o3$2o$bo22b2ob 2o$bobo20bo3bo11b2o$2b2o21b3o12b2o$25b3o7$6b2o14bo7bo$7bo14bo7bo$4b3o 15bo7bo$4bo$24b2ob2o$24bo3bo$25b3o$23bobo$23b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 460 THUMBSIZE 2 ZOOM 8 ]]
Period-tripled version
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RLE: here Plaintext: here
Catagoluehere
x = 44, y = 42, rule = B3/S23 25b2o$25bobo$27b3o$26bo3bo$26b2ob2o2$24bo7bo$10b2o12bo7bo$10b2o12bo7bo 2$2b3o3$o3bo$o3bo$o3bo22b3o$27b3o12b2o$26bo3bo11b2o$2b3o21b2ob2o5$2b3o 21b2ob2o$26bo3bo11b2o$27b3o12b2o$o3bo22b3o$o3bo$o3bo3$2b3o2$10b2o12bo 7bo$10b2o12bo7bo$24bo7bo2$26b2ob2o$26bo3bo$27b3o$25bobo$25b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 460 THUMBSIZE 2 ZOOM 8 ]]
Period-sextupled version
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RLE: here Plaintext: here
Catagoluehere


Other p44 pi-heptomino hassler

In Mitchell Riley's mvr_catforce_stdin census on Catagolue, there have occurred many variants of an unrelated such hassler, the minimal form of which is shown below.

x = 44, y = 25, rule = B3/S23 4bo$4b3o8b3o6bo$7bo16b3o$6b2o19bo$26b2o$11b2o$2o$bo12bobo20b2o$bobo10b obo20b2o$2b2o10b3o6$27b3o10b2o$5b2o20bobo10bobo$5b2o20bobo12bo$42b2o$ 31b2o$16b2o$16bo19b2o$17b3o16bo$19bo6b3o8b3o$39bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 600 THUMBSIZE 2 ZOOM 8 ]]
Mitchell Riley's p44 pi-heptomino hassler, with a 70-cell minimum population
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Catagoluehere


See also

References

  1. Dean Hickerson's oscillator stamp collection.
  2. iNoMed (May 10, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. cvojan (May 10, 2022). Re: Catalyst Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. Mitchell Riley (July 25, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. dani (July 25, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums

External links