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m Add Charity Engine's other scrubber-hassler and Jim Horton's one that I ordained the blocktopus in Highest volatility period-8 oscillators (listed in chronological order)
Add pair half stabilisation and two 5*5 gutter-symmetric wick oscillators (that are closely related to it)
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==Hasslers==
==Hasslers==
On 2021-06-25, [[Jim Hortons]] discovered in a D8_1 soup the blocktopus, a period-8 oscillator, in the centre of which both phases of a scrubber appear consecutively before vanishing.
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.
{|style="margin:auto;width:240px;"
{|style="margin:auto;width:240px;"
|{{EmbedViewer
|{{EmbedViewer
Line 40: Line 40:
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!
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!
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 16 THEME Book AUTOSTART STOP 13 ]]
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 16 THEME Book AUTOSTART STOP 13 ]]
|caption      = blocktopus
|caption      = blocktopus
|apgcode      = xp8_y7jjgxgjjzy66oq03030qo6z66wegl166k430111034k661lgew66zoows2a0oob8gy1g8boo0a2swoozy211wo6n0h1h0n6ow11zy7ii21012iizy711y111
|apgcode      = xp8_y7jjgxgjjzy66oq03030qo6z66wegl166k430111034k661lgew66zoows2a0oob8gy1g8boo0a2swoozy211wo6n0h1h0n6ow11zy7ii21012iizy711y111
Line 52: Line 52:
4b2o$4bo3$5bo$4b2obo$5bo2bo$5bobo$5b2o3bo$4b2o3bobo$3bo4bo$3bo3b6o3bo$2obo3bo3bo3b2o$bo2b3o$bo$2b3o$4bo!
4b2o$4bo3$5bo$4b2obo$5bo2bo$5bobo$5b2o3bo$4b2o3bobo$3bo4bo$3bo3b6o3bo$2obo3bo3bo3b2o$bo2b3o$bo$2b3o$4bo!
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 32 THEME Book AUTOSTART STOP 8 ]]
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 32 THEME Book AUTOSTART STOP 8 ]]
|caption      = monomerisation of Charity's scrubber-hassling p6
|caption      = monomerisation of Charity's scrubber-hassling p6
|apgcode      = xp6_y03hzy0hv852g8gz4s07888632262w46zw113
|apgcode      = xp6_y03hzy0hv852g8gz4s07888632262w46zw113
Line 64: Line 64:
b2o8bo$ob3o4b2obo$bob2o2b2o2b2o$bo5b2ob2o$2b2ob3o2b2o$2b3o3bo$4bo3bo$4bo3b3o$b2o2b3ob2o$b2ob2o5bo$2o2b2o2b2obo$ob2o4b3obo$bo8b2o!
b2o8bo$ob3o4b2obo$bob2o2b2o2b2o$bo5b2ob2o$2b2ob3o2b2o$2b3o3bo$4bo3bo$4bo3b3o$b2o2b3ob2o$b2ob2o5bo$2o2b2o2b2obo$ob2o4b3obo$bo8b2o!
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 42 THEME Book AUTOSTART STOP 4 ]]
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 42 THEME Book AUTOSTART STOP 4 ]]
|caption      = a period-4 oscillator stabilising the scrubber's rotor in a periodic manner
|caption      = a period-4 oscillator stabilising the scrubber's rotor in a periodic manner
|apgcode      = xp4_2djm6ggsc2qt6z0op1no887ccgz352211w33652
|apgcode      = xp4_2djm6ggsc2qt6z0op1no887ccgz352211w33652
}}
|}
==Scrubber half pair stabilisation==
Two halves (cut orthogonally, including the central column), facing each other with a 3-cell gap, can be stabilised by halves of the {{LinkCatagolue|xp4_178cwoozy1raaaarzgs26w33|patternname=cwoozy|style=raw}}, in a similar manner to {{LinkCatagolue|xp3_4aab8oz69fwgz255d11|style=raw}}.
{{EmbedViewer
|rle          = 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!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 24 THEME Book AUTOSTART STOP 4 ]]
|caption      =
|apgcode      = xp4_c88gy0j9abg0s4zw3og0u0rxr0f013ozy14701qaipy01226
}}
They can also mutually stabilise each other in wicks by [[gutter symmetry]], and are compatible with halves of {{LinkCatagolue|xp4_0g0g88bb8bb88g0gz0118v1phghp1v811z252gv0o888o0vg252z0c48nkkkgkkkn84czy266066|patternname=another such period-4 wick|style=raw}}.
{{EmbedViewer
|rle          = x = 72, y = 17, rule = B3/S23
32bo13bo13bo$9bob2o2bob2o2bob2o6bobo11bobo11bobo4b2o$9b2obo2b2obo2b2obo7bo13bo13bo5bo$5b2o22bo5bo7bo5bo7bo5bo3bo$6bo2b3o3b3o3b3o3b11o3b11o3b12obo$6bobobobobobobobobobobo5bo5bobo5bo5bobo5bo5bobo$3b2obob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2o3b2ob2ob2ob2o3b2ob2obob2o$3b2obo23b2ob2o9b2ob2o9b2ob2o5bob2o$5b2o22b3ob3o7b3ob3o7b3ob3o4bo$30b2ob2o9b2ob2o9b2ob2o5bob2o$2b2o4b2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2o3b2ob2ob2ob2o3b2ob2obob2o$3bo4bobobobobobobobobobo5bo5bobo5bo5bobo5bo5bobo$3o6b3o3b3o3b3o3b11o3b11o3b12obo$o28bo5bo7bo5bo7bo5bo3bo$9b2obo2b2obo2b2obo7bo13bo13bo5bo$9bob2o2bob2o2bob2o6bobo11bobo11bobo4b2o$32bo13bo13bo!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 8 THEME Book AUTOSTART STOP 4 ]]
|caption      =
|apgcode      = xp4_x178cwooz0gg0g8o032qai3ggz06503lmxml3056z0db07adxda70bdz0qm0elrxrle0mqzxgs2m0g0m2sgz4a40v4hrrrh4v04a4zx178d010d871zx8u1rgogr1u8z252gv2odtdo2vg252zy03kmxmk3z0g04v0dosod0v40gz1218v1c6e6c1v8121z0624bab888bab426zy233033
}}
==Other 5*5 gutter-symmetric agar oscillators==
The scrubber's nucleus is a member of the set of four 5*5 oscillator partials that can be stabilised by gutter symmetry,<ref name="post148545" /> of which two other ones (that are asymmetric, so can be immersed only in toruses with a minimum size of 12*12) resemble it and also function as wicks.
{|style="margin:auto;width:240px;"
|{{EmbedViewer
|rle          = x = 23, y = 11, rule = B3/S23:T24,0
3bo3bo7bo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$b3o3b3o3b3o3b3o2$b3o3b3o3b3o3b3o$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$3bo3bo7bo3bo!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 24 THEME Book AUTOSTART STOP 4 ]]
|caption      = A period-4 wick comprised of asymmetric nuclei (can have ends stabilised for a {{LinkCatagolue|xp4_o8baa404aab8ozworle0elrozw6mas0sam6z64kll808llk46zw1y31|patternname=finite oscillator|style=raw}}).
}}
|{{EmbedViewer
|rle          = x = 23, y = 11, rule = B3/S23:T24,0
o2b2ob2o2bobo2b2ob2o2bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$b3o3b3o3b3o3b3o2$b3o3b3o3b3o3b3o$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o2b2ob2o2bobo2b2ob2o2bo!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 24 THEME Book AUTOSTART STOP 4 ]]
|caption      = A period-12 wick of glide-symmetric nuclei
}}
}}
|}
|}


==In other rules==
==In other rules==
The scrubber can exhibit at least eight different evolution sequences across certain non-totalistic rules, allowing it to have any period from at least period 1 to period 8.<ref name="post48310" />
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.<ref name="post48310" />


==See also==
==See also==
Line 84: Line 125:
|author = wwei23
|author = wwei23
|date  = August 7, 2017
|date  = August 7, 2017
}}</ref>
<ref name="post148545">{{LinkForumThread
|format = ref
|title  = Re: dbsearch
|p      = 148545
|author = DroneBetter
|date  = July 22, 2022
}}</ref>
}}</ref>
</references>
</references>

Revision as of 15:41, 10 April 2023

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 ]]
View animated image
View static image
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 | 0.13
Kinetic symmetry Unspecified
Rotor type Tub on-off
Discovered by Unknown
Year of discovery 1971

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 THEME Book AUTOSTART STOP 13 ]]
blocktopus
(click above to open LifeViewer)
Catagolue: here

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 THEME Book AUTOSTART STOP 8 ]]
monomerisation of Charity's scrubber-hassling p6
(click above to open LifeViewer)
Catagolue: here

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 THEME Book AUTOSTART STOP 4 ]]
a period-4 oscillator stabilising the scrubber's rotor in a periodic manner
(click above to open LifeViewer)
Catagolue: here

Scrubber half pair stabilisation

Two halves (cut orthogonally, including the central column), facing each other with a 3-cell gap, can be stabilised 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 THEME Book AUTOSTART STOP 4 ]]
(click above to open LifeViewer)
Catagolue: here

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 THEME Book AUTOSTART STOP 4 ]]
(click above to open LifeViewer)
Catagolue: here

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 also function as wicks.

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

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
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