OCA:SlowLife/p7

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SlowLife p7
x = 4, y = 7, rule = SlowLife 2.A$.A.A$BA.C$.A$2A$.A.A$2.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 64 GPS 3 LOOP 14 ]]
Pattern type Oscillator
Number of cells 12
Bounding box 4 × 7
Period 7 (mod: 3.5)
Heat 31.4
Volatility 1 | 1
Kinetic symmetry n.e
Discovered by Jiahao Yu
Year of discovery 2022

The SlowLife p7 is a period-7 oscillator found by Jiahao Yu on August 7, 2022,[1] unique to SlowLife due to cells updating at both parities. It has volatility 1, which is notably as-yet unknown in any single-parity p7.[2]

Subsection stabilisations

p6

The statorless p6 was discovered by Dean Hickerson in August 1989, since which two alternative stabilisations have been found.

x = 12, y = 21, rule = SlowLife 4.A$3.A.A$3.A.A$3.A$2.2A.A$5.A2$2.3A$3.2A2$3A2.3A2$3.2A$3.3A$9.A$2.A5.A.A$2.A.2A2.C.AB$4.A5.A$2.A.A3.A.A$2.A.A3.A.A$3.A5.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 560 THUMBSIZE 2 ZOOM 24 GPS 3 AUTOSTART LOOP 13 T 0 PAUSE 1/2 T 12 PAUSE 1/2 COLOR GRID 80 80 80 ]]
the bottom 4 cells are equal on generations 0 through 8, and the bottom 3 on gens 0 through 10
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p7

On October 26, 2025, following the implementation of diagonal symmetries in GPU censuses, siffrin normal discovered a period-7 oscillator which stabilises the bottom three rows.

x = 23, y = 14, rule = SlowLife .A$A3.2A$.4A.A$2.A3.3A$4.2A3.A$5.A.A2.A$4.5A.A$7.A2.2A9.A$7.3A2.A7.A.A$7.A.A.2A6.BA.C$11.A8.A$10.2A7.2A$11.A.A6.A.A$12.A8.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 340 THUMBSIZE 2 ZOOM 24 GPS 3 AUTOSTART ]]
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p8

On January 15, 2015, Nora Brown discovered a period-8 oscillator in tetramer form, that flips loafs and as such is monomerisable by eater 3s.[3]

x = 28, y = 21, rule = SlowLife 8.A10.A$7.A.A8.A.A$8.A10.A2$6.5A6.5A$5.A4.A6.A4.A$4.A2.A12.A2.A$.A2.A.2A11.3A.A2.A$A.A.A5.A6.4A2.A.A.A$.A2.A4.A.A4.A2.A3.A2.A$4.2A2.A2.A5.A.A2.2A$9.4A5.A$11.3A$11.2A.A$14.2A5.A$14.A5.A.A$14.2A4.BCA$13.A6.A$13.A.A4.A.A$13.A.A4.A.A$14.A6.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 680 HEIGHT 510 THUMBSIZE 2 ZOOM 24 GPS 3 AUTOSTART LOOP 17 T 0 PAUSE 1/2 T 16 PAUSE 1/2 COLOR GRID 80 80 80 ]]
The bottom three rows match for generations 0 through 4 and 8 through 12 but become desynchronised thereafter.
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References

  1. ↑ yujh (August 7, 2022). Message in #misc-ca on the Conwaylife Lounge Discord server
    hotdogPi (August 7, 2022). Re: SlowLife (forward to forums)
  2. ↑ (see highest volatility period-7 oscillators)
  3. ↑ glider_rider (January 15, 2015). Re: Thread For Your Accidental Discoveries