84P199

From LifeWiki
Jump to navigation Jump to search
84P199
x = 52, y = 45, rule = B3/S23 16b2o16b2o$16b2o7b2o7b2o$25b2o5$2o48b2o$2o48b2o3$18bo14bo$18b3o10b3o2$ 19b3o8b3o5$8b2o32b2o$8b2o32b2o4$8b2o32b2o$8b2o32b2o5$19b3o8b3o2$18b3o 10b3o$18bo14bo3$2o48b2o$2o48b2o5$25b2o$16b2o7b2o7b2o$16b2o16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 199 GPS 15 THUMBSIZE 3 ZOOM 12 HEIGHT 650 WIDTH 800 ]]
Pattern type Oscillator
Number of cells 84
Bounding box 52 × 45
Period 199 (mod: 199)
Heat 90.5
Volatility 0.98 | 0.98
Kinetic symmetry +e
Discovered by Mitchell Riley
Luke Kiernan
iNoMed
Year of discovery 2022

84P199 (or p199 R-pentomino hassler) is a period-199 oscillator found by Mitchell Riley and Luke Kiernan on July 6, 2022 using a symmetric variant of CatForce. It hassles 4 R-pentominoes or 4 lumps of muck with 14 blocks. While its original 248-cell form (using eater 4 as a catalyst)[1] does not produce any useful sparks, its reduced form with 200 cells[2] (shown in reference), in addition to later versions, happens to function as a pipsquirter. Despite having relatively low clearance, the spark can still be used to form LCM oscillators.[3] It has since been reduced to its 104-cell form[4] and then to 84 cells.[5][6] It is currently the highest known prime-period oscillator that does not rely on glider or signal loops, surpassing 74P127 which was discovered just four days earlier.

LCM oscillators

The LCM oscillators below are listed due to being the smallest known ones by population while also satisfying the condition that at least one cell oscillates at the full period.[7]

x = 59, y = 45, rule = B3/S23 23b2o16b2o$23b2o7b2o7b2o$32b2o5$7b2o48b2o$7b2o48b2o2$3bo$2bobo20bo14b o$2bobo20b3o10b3o$2o2b2o$bobo2b2o18b3o8b3o$o2b2obobob2o$b2o3bob2obo$3b 2obo$3bob2o$15b2o32b2o$15b2o32b2o4$15b2o32b2o$15b2o32b2o5$26b3o8b3o2$ 25b3o10b3o$25bo14bo3$7b2o48b2o$7b2o48b2o5$32b2o$23b2o7b2o7b2o$23b2o16b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]]
115P398 with the same small P5 phase shifter also used in SKOP 18 (tied with P18 bi-block hassler), 63, and 108. The reaction is a phase shift.[8]
(click above to open LifeViewer)
Catagoluehere
x = 61, y = 45, rule = B3/S23 16b2o16b2o$16b2o7b2o7b2o$25b2o5$2o48b2o$2o48b2o2$55bo$18bo14bo19bo3b4o $18b3o10b3o19bo3bo$53bo$19b3o8b3o23bo$54b2o4$8b2o32b2o$8b2o32b2o4$8b2o 32b2o$8b2o32b2o5$19b3o8b3o2$18b3o10b3o$18bo14bo3$2o48b2o$2o48b2o5$25b 2o$16b2o7b2o7b2o$16b2o16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]]
96P597 with caterer
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere
x = 56, y = 45, rule = B3/S23 16b2o16b2o$16b2o7b2o7b2o$25b2o5$2o48b2o$2o48b2o3$18bo14bo$18b3o10b3o 18bobo$55bo$19b3o8b3o18bo2bo$50bobobo$50bo2bo$51b2o2$8b2o32b2o$8b2o32b 2o4$8b2o32b2o$8b2o32b2o5$19b3o8b3o2$18b3o10b3o$18bo14bo3$2o48b2o$2o48b 2o5$25b2o$16b2o7b2o7b2o$16b2o16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]]
96P796 with mold
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere
x = 63, y = 45, rule = B3/S23 16b2o16b2o$16b2o7b2o7b2o$25b2o2$61b2o$59bo2bo$59bobo$2o48b2o$2o48b2o5b obo2$55bobo$18bo14bo$18b3o10b3o18b2obo2$19b3o8b3o18bobo$51b2o4$8b2o32b 2o$8b2o32b2o4$8b2o32b2o$8b2o32b2o5$19b3o8b3o2$18b3o10b3o$18bo14bo3$2o 48b2o$2o48b2o5$25b2o$16b2o7b2o7b2o$16b2o16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]]
99P995 with pseudo-barberpole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere
x = 52, y = 51, rule = B3/S23 39bo4bo$37b2ob4ob2o$39bo4bo4$16b2o16b2o$16b2o7b2o7b2o$25b2o5$2o48b2o$ 2o48b2o3$18bo14bo$18b3o10b3o2$19b3o8b3o5$8b2o32b2o$8b2o32b2o4$8b2o32b 2o$8b2o32b2o5$19b3o8b3o2$18b3o10b3o$18bo14bo3$2o48b2o$2o48b2o5$25b2o$ 16b2o7b2o7b2o$16b2o16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]]
96P2985 with pentadecathlon
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere
x = 66, y = 45, rule = B3/S23 16b2o16b2o$16b2o7b2o7b2o$25b2o4$64b2o$2o48b2o12bo$2o48b2o9b2obo$63bo$ 56bo$18bo14bo22b2o3bo$18b3o10b3o25bo$57b3o$19b3o8b3o4$52b3o$8b2o32b2o 8bo$8b2o32b2o6bo3b2o$55bo$48bo$47bob2o$8b2o32b2o3bo$8b2o32b2o2b2o5$19b 3o8b3o2$18b3o10b3o$18bo14bo3$2o48b2o$2o48b2o5$25b2o$16b2o7b2o7b2o$16b 2o16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]]
114P4975 with 30P25
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere


x = 54, y = 53, rule = B3/S23 10b2o30b2o$9bobo30bobo$9bo34bo$7b2ob4o26b4ob2o$6bobobo2bo3b2o16b2o3bo 2bobobo$6bobo8b2o4b2o4b2o4b2o8bobo$4b2o2bo13bo2bo2bo2bo13bo2b2o$3bo4b 2o13bobo2bobo13b2o4bo$3b5o16bo4bo16b5o$b2o4bo38bo4b2o$o2b2o44b2o2bo$2o bo46bob2o$3bo46bo$3b2o44b2o2$19bo14bo$19b3o10b3o2$20b3o8b3o5$9b2o32b2o $9b2o32b2o4$9b2o32b2o$9b2o32b2o5$20b3o8b3o2$19b3o10b3o$19bo14bo2$3b2o 44b2o$3bo46bo$2obo46bob2o$o2b2o44b2o2bo$b2o4bo38bo4b2o$3b5o16bo4bo16b 5o$3bo4b2o13bobo2bobo13b2o4bo$4b2o2bo13bo2bo2bo2bo13bo2b2o$6bobo8b2o4b 2o4b2o4b2o8bobo$6bobobo2bo3b2o16b2o3bo2bobobo$7b2ob4o26b4ob2o$9bo34bo $9bobo30bobo$10b2o30b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]]
The original form, 248P199
(click above to open LifeViewer)
Catagoluehere
x = 52, y = 45, rule = B3/S23 16b2o16b2o$16b2o4b2o4b2o4b2o$21bo2bo2bo2bo$16bo5bobo2bobo5bo$15bobo5b o4bo5bobo$14b2ob2o14b2ob2o$15bobo16bobo$2o12bo3bo14bo3bo12b2o$2o12b6o 12b6o12b2o$15bo3bo12bo3bo$16bobo14bobo$15b2ob2o12b2ob2o$16bobo14bobo$ 17bo16bo6$8b2o32b2o$8b2o32b2o4$8b2o32b2o$8b2o32b2o6$17bo16bo$16bobo14b obo$15b2ob2o12b2ob2o$16bobo14bobo$15bo3bo12bo3bo$2o12b6o12b6o12b2o$2o 12bo3bo14bo3bo12b2o$15bobo16bobo$14b2ob2o14b2ob2o$15bobo5bo4bo5bobo$16b o5bobo2bobo5bo$21bo2bo2bo2bo$16b2o4b2o4b2o4b2o$16b2o16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 460 ]]
A reduction, 104P199.
(click above to open LifeViewer)
Catagoluehere

References

  1. Mitchell Riley (July 6, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. Mitchell Riley (July 6, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  3. 83bismuth38 (July 6, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  4. iNoMed (July 7, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. iNoMed (July 7, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  6. Anivec (July 7, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  7. Skopje repository (July 22, 2023)
  8. Period1GliderGun (August 25, 2024). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums