Scrubber

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Scrubber
4bo6b$2b3o6b$bo9b$bo2b3o4b$2obo3bo3b$3bo3bo3b$3bo3bob2o$4b3o2bob$9bob$ 6b3o2b$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
Pattern type Oscillator
Oscillator type Muttering moat
Billiard table
Number of cells 28
Bounding box 11 × 11
Period 2
Mod 2
Heat 4
Volatility 0.13
Strict volatility 0.13
Rotor type Tub on-off
Discovered by Unknown
Year of discovery 1971
Ambox notice.png This article may require cleanup to meet LifeWiki's quality standards.

Scrubber is a period-2 oscillator that was found in 1971.[1][2] It is a billiard table configuration with a 4-cell on-off rotor. If its nucleus, a ring of four triminoes, is not constrained it will expand after two generations into a traffic light. Two covers are the smallest option for induction coils.

Placing two nuclei side by side is a form of constraint. Separated by the width of a single cell they can be packed rather arbitrarily into a square lattice, for which an overall constraint is still necessary. (Such an arrangement is shown at Agar#Tile_agars.) The interiors of nuclei separated by the width of two cells are still protected, but the nuclei act like spark coils. Glasses constitutes a binary instance of the arrangement, which can be elaborated as much as desired within a square lattice. The overall figure has period 2, but the relation between the interior and exterior phase must be respected. Boundary constraint is still required. Incommensurability of the widths would preclude mixing single and double spacing except along a linear chain which could even be bounded by spark coils.

The scrubber appears commonly in random soups on a 6×6 torus. The walls stabilize each other; no casing is needed.

Hasslers

On 2021-06-25, Jim Hortons discovered in a D8_1 soup a period-8 oscillator, the blocktopus, in the centre of which both phases of a scrubber appear consecutively before vanishing.

x = 31, y = 31, rule = B3/S23 11b2o5b2o$11b2o5b2o3$11b3o3b3o$14bobo$10bobobobobobo$10bo9bo$11b2o5b2o$11b2o5b2o$6b2o4bob3obo4b2o$2o2bo3b2o2bo5bo2b2o3bo2b2o$2o2bobob4o7b4obobo2b2o$4bo21bo$5b2o3bo9bo3b2o$10bo9bo$5b2o3bo9bo3b2o$4bo21bo$2o2bobob4o7b4obobo2b2o$2o2bo3b2o2bo5bo2b2o3bo2b2o$6b2o4bob3obo4b2o$11b2o5b2o$11b2o5b2o$10bo9bo$10bobobobobobo$14bobo$11b3o3b3o3$11b2o5b2o$11b2o5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 16 GPS 4 THEME Book STARTFROM 13 ]]
blocktopus
(click above to open LifeViewer)
Catagoluehere

On 2022-12-28, Charity Engine discovered in a D8_1 soup a tetramer form of an oscillator that hassles a scrubber, both phases appearing consecutively.

x = 17, y = 17, rule = B3/S23 4b2o$4bo3$5bo$4b2obo$5bo2bo$5bobo$5b2o3bo$4b2o3bobo$3bo4bo$3bo3b6o3bo$2obo3bo3bo3b2o$bo2b3o$bo$2b3o$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 32 GPS 4 THEME Book STARTFROM 8 ]]
monomerisation of Charity's scrubber-hassling p6
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Catagoluehere

On 2022-02-11, Charity Engine discovered a C4_1 period-4 oscillator that contains the scrubber's rotor (and stator on alternate phases, but removes four cells a knight move away from its centre on phases in which the rotor cells are on).

x = 13, y = 13, rule = B3/S23 b2o8bo$ob3o4b2obo$bob2o2b2o2b2o$bo5b2ob2o$2b2ob3o2b2o$2b3o3bo$4bo3bo$4bo3b3o$b2o2b3ob2o$b2ob2o5bo$2o2b2o2b2obo$ob2o4b3obo$bo8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 42 GPS 2 THEME Book STARTFROM 4 ]]
a period-4 oscillator stabilising the scrubber's rotor in a periodic manner
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Catagoluehere

Oscillators containing partial scrubbers

The rotor of each quadrant of the pulsar in one phase closely resembles the scrubber, with only two cells adjacent to a corner missing.

Scrubber half stabilisations

Two halves (cut orthogonally, but including the central column of cells, with the rotor in the on phase), facing each other with a 3-cell gap, can be stabilised periodically by halves of the cwoozy, in a similar manner to xp3_4aab8oz69fwgz255d11.

x = 15, y = 21, rule = B3/S23 2b2o$3bo$3bobo$4b2o2b2o$8b2o$7bo4bo$7b6o2$2o2b2o3b2o$o2bobo3bobob2o$bob2o5b2obo$2obobo3bobo2bo$4b2o3b2o2b2o2$2b6o$2bo4bo$5b2o$5b2o2b2o$9bobo$11bo$11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 24 GPS 2 THEME Book STARTFROM 4 ]]
(click above to open LifeViewer)
Catagoluehere

They can also mutually stabilise each other in wicks by gutter symmetry, and are compatible with halves of another such period-4 wick.

x = 72, y = 17, rule = B3/S23 32bo13bo13bo$9bob2o2bob2o2bob2o6bobo11bobo11bobo4b2o$9b2obo2b2obo2b2obo7bo13bo13bo5bo$5b2o22bo5bo7bo5bo7bo5bo3bo$6bo2b3o3b3o3b3o3b11o3b11o3b12obo$6bobobobobobobobobobobo5bo5bobo5bo5bobo5bo5bobo$3b2obob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2o3b2ob2ob2ob2o3b2ob2obob2o$3b2obo23b2ob2o9b2ob2o9b2ob2o5bob2o$5b2o22b3ob3o7b3ob3o7b3ob3o4bo$30b2ob2o9b2ob2o9b2ob2o5bob2o$2b2o4b2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2o3b2ob2ob2ob2o3b2ob2obob2o$3bo4bobobobobobobobobobo5bo5bobo5bo5bobo5bo5bobo$3o6b3o3b3o3b3o3b11o3b11o3b12obo$o28bo5bo7bo5bo7bo5bo3bo$9b2obo2b2obo2b2obo7bo13bo13bo5bo$9bob2o2bob2o2bob2o6bobo11bobo11bobo4b2o$32bo13bo13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 8 GPS 2 THEME Book STARTFROM 4 ]]
(click above to open LifeViewer)
Catagoluehere

Single half-scrubbers can also be supported in period 6 by sombrero variants (that do not only have their stators optimised given their tessellation, but to suppress scrubber nucleus edge births).

x = 75, y = 21, rule = B3/S23 19bo11bo11bo$18bobo9bobo9bobo$18bobo9bobo9bobo$13bo3b2ob2o7b2ob2o7b2ob2o$8b2o2bobo4bo4bobo4bo4bobo4bo4bo$7bobo2bob4obob4ob4obob4ob4obob4o$6bo3b2o5b2ob2o7b2ob2o7b2ob2o$5bob3o2b3o9b3o9b3o9b3o$5bo4bobo2bo7bobobo7bobobo7bobobo18b2o$ob2ob5ob2ob2o7b2ob2o7b2ob2o7b2ob2o19bo$2obo5bob2o43b2obo3bob2o4bob2o$3bo13b2ob2o7b2ob2o7b2ob2o7b2ob2ob5ob2ob2obo2bo$3b2o12bobobo7bobobo7bobobo7bo2bobo5bobo2bob2o$18b3o9b3o9b3o9b3o2b5o2b3o$23b2ob2o7b2ob2o7b2ob2o5b2o5b2o$20b4obob4ob4obob4ob4obob4o2bo2bo2bo2bo$20bo4bo4bobo4bo4bobo4bo4bo4b2o3b2o$23b2ob2o7b2ob2o7b2ob2o$24bobo9bobo9bobo$24bobo9bobo9bobo$25bo11bo11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 8 GPS 2 THEME Book STARTFROM 6 ]]
Showing two different end stabilisations.
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Catagoluehere

Other 5*5 gutter-symmetric agar oscillators

The scrubber's nucleus is a member of the set of four 5*5 oscillator partials that can be stabilised by gutter symmetry,[3] of which two other ones (that are asymmetric, so can be immersed only in toruses with a minimum size of 12*12) resemble it (and in one phase are equivalent to the scrubber missing two and one cell respectively), and also function as wicks.

x = 23, y = 11, rule = B3/S23:T24,0 3bo3bo7bo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$b3o3b3o3b3o3b3o2$b3o3b3o3b3o3b3o$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$3bo3bo7bo3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 24 GPS 2 THEME Book AUTOSTART ]]
A period-4 wick comprised of asymmetric nuclei (can have ends stabilised for a finite oscillator).
(click above to open LifeViewer)
x = 23, y = 11, rule = B3/S23:T24,0 o2b2ob2o2bobo2b2ob2o2bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$b3o3b3o3b3o3b3o2$b3o3b3o3b3o3b3o$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o2b2ob2o2bobo2b2ob2o2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 24 GPS 2 THEME Book AUTOSTART ]]
A period-12 wick of glide-symmetric nuclei
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In other rules

The scrubber can exhibit at least eight different evolution sequences across certain non-totalistic rules, allowing it to have any period between 1 and 8 inclusive.[4]

See also

References

  1. Robert Wainwright (September 1971). Lifeline, vol 3, page 3.
  2. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  3. DroneBetter (July 22, 2022). Re: dbsearch (discussion thread) at the ConwayLife.com forums
  4. wwei23 (August 7, 2017). Re: Random posts (discussion thread) at the ConwayLife.com forums

External links