32P21

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32P21
x = 16, y = 18, rule = B3/S23 5b2o$5b2o2$bo$obo$bo3b3o$9bo$5bo4bo$5bo3bo$6bo3bo$5bo4bo$6bo$8b3o3bo$ 13bobo$14bo2$9b2o$9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ ZOOM 10 GPS 7 ]]
Pattern type Oscillator
Number of cells 32
Bounding box 16 × 18
Period 21
Mod 21
Heat 16.2
Volatility 0.90
Strict volatility 0.90
Discovered by Charity Engine
Year of discovery 2022

32P21 is a small period-21 oscillator found by Charity Engine on February 11, 2022 via symmetric soup search.[1] It uses a block and a tub on each side as catalysts. It is the smallest known period-21 oscillator by population, superseding caterer on 28P7.3.

Various LCM oscillators can be made from it, including the smallest known oscillators of periods 168,[2] 189,[3] 231,[2] and 462.[4]. It can also phase shift a p5 to create the smallest known oscillator of period 63. The Grins that it produces can be used to convert a beehive to a block, similarly to Coe's p8.

Mark Niemiec found a 20-glider synthesis of this oscillator on the day of its discovery.[5] This was reduced to 19 gliders by cvojan, and then to 18 by an unknown user.[6] The next day, cvojan found a 14-glider synthesis.[7] Carson Cheng then further reduced it to a 12-glider synthesis.[8]

About 1 in 2×1011 soups in the correct symmetry (C2_4) form a 32P21 in the centre.

Gallery

x = 23, y = 22, rule = B3/S23 3bobo$2bob2o$2bo3b2o$2ob2o3bo$bobob3o$o2bobo$3obo4bo$8bobo$2b2o5bo$2bo $obo10b2o$2o3b2o5bo2bo$5b2o5bo2bo$12bobo$13bobo$12bo2bo5b2o$12bo2bo5b 2o$13b2o2$18bo$17bobo$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 GPS 10 AUTOSTART ]]
SKOP 63: 32P21 phase-shifting p5
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 22, y = 17, rule = B3/S23 2o$2obo13bo$4bo11bobo$bo15bo$2bob2o$4b2o$11bob2obo3b2o$10bobo3bo3b2o$ 16bo$9bo$4b2o3bo3bobo$4b2o3bob2obo3$8bo$7bobo$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 GPS 10 AUTOSTART ]]
SKOP 168: figure eight on 32P21[2]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 42, y = 36, rule = B3/S23 15b2o$15b2o3$13bo$11b3o$10bo2bo$9bob2o$11b2o$22bo$23bo$21b2obo$21b2obo $2o21b3o$2o$28b2o$4b3o21b2o$5bob2o$5bob2o22b2o$6bo24b2o$7bo$17b2o8bo$ 17b2obo5bobo$16bo2bo7bo3b2o$16b3o$16bo14b2o2b2o$31b2obo2bo$30bo2bob2o$ 13b2o16b2o2b2o$13b2o$35b2o3bo$39bobo$40bo2$35b2o$35b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 GPS 8 AUTOSTART HEIGHT 400 ]]
SKOP 189: 56P27 on 32P21[3]
(click above to open LifeViewer)
x = 22, y = 27, rule = B3/S23 5b2o$5b2o2$bo$obo$bo3b3o$9bo$5bo4bo$5bo3bo$6bo3bo$5bo4bo$6bo$8b3o3bo4b 2o$13bobo2bobo$14bo3bo$17b2o$9b2o$9b2o2$14b2o$14bob2o$9b2obobobobo$9bo b2obobo$15bo2b3o$16b2o3bo$18b3o$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 GPS 10 AUTOSTART ]]
SKOP 231: rattlesnake on 32P21[2]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 24, y = 40, rule = B3/S23 5b2o$5b2o2$bo$obo$bo$5b2ob2o$5b2o3bo$4bo6bo$4bo6bo$5bo3b2o$6b2ob2o$14b o$13bobo7bo$14bo6b3o$20bo$9b2o9b2o$9b2o$18bo$17bobo$16bo3bo$16bo2bo$ 16bo2bo$17b2o6$19b2o$18bo2bo$18bo2bo$17bo3bo$18bobo$19bo2$16b2o$17bo$ 14b3o$14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 GPS 10 AUTOSTART HEIGHT 350 ]]
SKOP 462: Jason's p22 on 32P21[2]
(click above to open LifeViewer)

See also

References

  1. David Raucci (February 11, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. 2.0 2.1 2.2 2.3 2.4 iNoMed (February 11, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. 3.0 3.1 David Raucci (February 13, 2022). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
  4. David Raucci (February 11, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. Mark Niemiec (February 11, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  6. cvojan (February 11, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  7. cvojan (February 12, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  8. Carson Cheng (June 5, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

External links