p86 R-pentomino hassler

p86 R-pentomino hassler
x = 62, y = 62, rule = B3/S23 35b2o$35b2o11$48bo$12b2o32b3o$13bo31bo$13bobo29b2o$14b2o$31b3o$31bo$ 31bo$32b2obo$35b2o4$2o19bo$2o18b2o2$17bo2bo$17bo2bo$17b3o$42b3o$41bo2b o$41bo2bo2$40b2o18b2o$40bo19b2o4$25b2o$26bob2o$30bo$30bo$28b3o$46b2o$ 15b2o29bobo$16bo31bo$13b3o32b2o$13bo11$25b2o$25b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 15 WIDTH 520 HEIGHT 530 ]]
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Pattern type	Oscillator
Number of cells	84
Bounding box	62 × 62
Period	86 (mod: 86)
Heat	109.9
Volatility	0.97 | 0.97
Kinetic symmetry	Unspecified
Discovered by	Nico Brown
Year of discovery	2022
Rules Outer-totalistic rules B3/S23 only # of rules 20 = 1 Isotropic rules B3/S23 – B3/S234c
Glider synthesis Fewest gliders 30† Catagolue-generated RLE synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext p86rpentominohassler.cells RLE p86rpentominohassler.rle
Identifiers apgcode xp86_yl33zzy9c88gyro8zyb11y744syb321zyl23011zyz03qwoyb33zyde22cyh111z33ye13zyrsii031zy88e13yp6a8ozzzyv33

p86 R-pentomino hassler is a period-86 oscillator found by Nico Brown on September 22, 2022. It is the third-smallest period-86 oscillator, after the 76-cell 76P86 and a 78-cell capped period-43 glider gun whose period is doubled by a boat-bit reaction.

Statorless p86

On the day of its discovery, iNoMed noted that the underlying reaction in this oscillator can produce a statorless Herschel factory, with the Herschels originally absorbed by eater 1s. After that, Nico Brown pointed out that the output Herschels can be connected to the SW-2 Herschel-to-glider conduit, whose first natural glider gets absorbed and doesn't interfere with the oscillator. As the beehive is transparent in this conduit, this makes a strictly volatile period-86 oscillator. This makes 86 one of the only 15 integers which are periods of at least one known strictly volatile oscillator that does not utilize self-constructing circuitry.

x = 82, y = 86, rule = B3/S23 25b2o$24bo2bo$25b2o6$29b3o$28bo3bo$27bo2$27bo3b2o$28b3o9$30b2o$30b2o2$ 28bo48bo$28bo48bo$28bo48b4o$78bo2bo$24b3o8b2o14b2o28bo$35b2o13bob3o23b o2bo$37b2o15b2o23b2o$27b3o3bo2bo2bo15b2o$30bo2bo3bobo14b2o$30bo3bo3bo 12bo$31b3o17bo$34b2o30bo$64b2o$65b2o9$15b2o$16b2o$15bo30b2o$30bo17b3o$ 30bo12bo3bo3bo$26b2o14bobo3bo2bo$25b2o15bo2bo2bo3b3o$b2o23b2o15b2o$o2b o23b3obo13b2o$o28b2o14b2o8b3o$o2bo$b4o48bo$4bo48bo$4bo48bo2$50b2o$50b 2o9$51b3o$49b2o3bo2$54bo$49bo3bo$50b3o6$55b2o$54bo2bo$55b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 15 AUTOSTART ZOOM 6 HEIGHT 560 WIDTH 560 ]]

Statorless p86 (click above to open LifeViewer) RLE: here Plaintext: here

Glider synthesis

A 30-glider synthesis for the canonical form shown in the infobox was found by KtT on October 4, 2023 (improving over a previously known 36-glider synthesis shown below).

x = 86, y = 86, rule = B3/S23 37bo$35bobo$10bo25b2o18bo$11bo43bo$9b3o43b3o3$41bo$39b2o$10bobo27b 2o39bo$11b2o63bo4bobo$11bo62b2o5b2o$40bo34b2o$40bobo$40b2o5$43bo$ 44bo$42b3o2$51bo$51bobo$51b2o2$48b2o$4bo43bobo$2bobo43bo$3b2o2$24b o$25bo$23b3o$28bo55bo$27bo55bo$27b3o53b3o2$77bo$71b3o2b2o$20b2o49b o4bobo$19bobo42bo7bo$13bo7bo42bobo$7bobo4bo49b2o$8b2o2b3o$8bo2$3o 53b3o$2bo55bo$bo55bo$60b3o$60bo$61bo2$81b2o$37bo43bobo$35bobo43bo$ 36b2o2$33b2o$32bobo$34bo2$41b3o$41bo$42bo5$44b2o$43bobo$9b2o34bo$ 3b2o5b2o62bo$2bobo4bo63b2o$4bo39b2o27bobo$45b2o$44bo3$28b3o43b3o$ 30bo43bo$29bo18b2o25bo$48bobo$48bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 4 HEIGHT 400 THEME BOOK AUTOSTART LOOP 140 GPS 15 ]]

36G synthesis of the canonical variant (click above to open LifeViewer)

iNoMed found a 24-glider synthesis of the strictly volatile variant on the day after its discovery.