Scrubber: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
← Older edit
Hotcrystal0 (talk | contribs)
Trusted users
766 edits
mNo edit summary
No edit summary
 
(23 intermediate revisions by 8 users not shown)
Line 1: Line 1:
{{Oscillator
{{Oscillator
|name         = Scrubber
|name             = Scrubber
|pname       = scrubber
|pname           = scrubber
|f1           = Muttering moat
|f1               = Muttering moat
|f2           = Billiard table
|f2               = Billiard table
|c           = 28
|c               = 28
|bx           = 11
|bx               = 11
|by           = 11
|by               = 11
|p           = 2
|p               = 2
|m           = 2
|m               = 2
|h           = 4
|h               = 4
|v           = 0.13
|v               = 0.13
|discoveryear = 1971
|symmetry        = xc
|rulemin     = B3/S23
|rotor            = Tub on-off
|rulemax     = B3578/S01234678
|discoveryear     = 1971
|rulespecial = [[Conway's Game of Life|Conway Life]]
|rulemin         = B3/S23
|synthesis    = 10
|rulemax         = B3578/S01234678
|synthesisRLE = true
|rulespecial     = [[Conway's Game of Life|Conway Life]]
|life105      = true
|isorulemin      = B3i/S2-cn3enr
|life106      = true
|isorulemax      = B2-ae34-aenwz56-n78/S012345-e678
|plaintext   = true
|synthesis        = 10
|rle         = true
|synthesisRLE    = true
|animated     = true
|plaintext       = true
|viewerconfig = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
|rle             = true
|apgcode      = xp2_gs2ib88gzx344kjge2zy21
|animated         = true
|viewerconfig     = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
|apgcode          = xp2_gs2ib88gzx344kjge2zy21
|pentadecathlonid = 28P2.17076
}}{{cleanup}}
'''Scrubber''' is a {{period|2}} [[oscillator]] that was found in {{year|1971}}.<ref>{{CiteLifeline|vol=3|pages=page 3}}</ref><ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> 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 [[cover]]s are the smallest option for [[induction coil]]s.
 
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 coil]]s.
 
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.
{|style="margin:auto;width:240px;"
|{{EmbedViewer
|rle          = 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!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 16 GPS 4 THEME Book STARTFROM 13 ]]
|caption      = blocktopus
|apgcode      = xp8_y7jjgxgjjzy66oq03030qo6z66wegl166k430111034k661lgew66zoows2a0oob8gy1g8boo0a2swoozy211wo6n0h1h0n6ow11zy7ii21012iizy711y111
}}
}}
'''Scrubber''' is a [[period]] [[:Category:Oscillators with period 2|2]] [[oscillator]] that was found in [[:Category:Patterns found in 1971|1971]]. 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 [[cover]]s are the smallest option for [[induction coil]]s.
|}


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. 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 coil|spark coils]]. 
On 2022-12-28, [[Charity Engine]] discovered in a D8_1 soup a {{LinkCatagolue|xp6_y6gjjxjjgzy2og26gnlxlng62goz66w7626078ca707ac8706267w66z66we6km0ehjle0eljhe0mk6ew66zy21046guqxqug6401zy7ccxcc|patternname=tetramer form|style=raw}} of an oscillator that hassles a scrubber, both phases appearing consecutively.
{|style="margin:auto;width:240px;"
|{{EmbedViewer
|rle          = x = 17, y = 17, rule = B3/S23
4b2o$4bo3$5bo$4b2obo$5bo2bo$5bobo$5b2o3bo$4b2o3bobo$3bo4bo$3bo3b6o3bo$2obo3bo3bo3b2o$bo2b3o$bo$2b3o$4bo!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 32 GPS 4 THEME Book STARTFROM 8 ]]
|caption      = monomerisation of Charity's scrubber-hassling p6
|apgcode      = xp6_y03hzy0hv852g8gz4s07888632262w46zw113
}}
|}


==In other rules==
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).
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>http://www.conwaylife.com/forums/viewtopic.php?f=12&t=2703&p=48310&hilit=+Scrubber#p48310</ref>
{|style="margin:auto;width:240px;"
|{{EmbedViewer
|rle          = x = 13, y = 13, rule = B3/S23
b2o8bo$ob3o4b2obo$bob2o2b2o2b2o$bo5b2ob2o$2b2ob3o2b2o$2b3o3bo$4bo3bo$4bo3b3o$b2o2b3ob2o$b2ob2o5bo$2o2b2o2b2obo$ob2o4b3obo$bo8b2o!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 42 GPS 2 THEME Book STARTFROM 4 ]]
|caption      = a period-4 oscillator stabilising the scrubber's rotor in a periodic manner
|apgcode      = xp4_2djm6ggsc2qt6z0op1no887ccgz352211w33652
}}
|}


==See also==
== Oscillators containing partial scrubbers ==
*[[Glasses]]
The rotor of each quadrant of the [[pulsar]] in one phase closely resembles the scrubber, with only two cells adjacent to a corner missing.


==References==
=== Scrubber half stabilisations ===
<references />
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 {{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 GPS 2 THEME Book STARTFROM 4 ]]
|caption      =
|apgcode      = xp4_c88gy0j9abg0s4zw3og0u0rxr0f013ozy14701qaipy01226
}}


==External links==
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 GPS 2 THEME Book STARTFROM 4 ]]
|caption      =
|apgcode      = xp4_x178cwooz0gg0g8o032qai3ggz06503lmxml3056z0db07adxda70bdz0qm0elrxrle0mqzxgs2m0g0m2sgz4a40v4hrrrh4v04a4zx178d010d871zx8u1rgogr1u8z252gv2odtdo2vg252zy03kmxmk3z0g04v0dosod0v40gz1218v1c6e6c1v8121z0624bab888bab426zy233033
}}
 
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).
{{EmbedViewer
|rle          = 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!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 8 GPS 2 THEME Book STARTFROM 6 ]]
|caption      = Showing two different end stabilisations.
|apgcode      = xp6_y4o8b9czy6or9eg8gzy62u1u1ihzy6ddap641zy3g8o0321of1oggzxg2ug3560gg06t16221z255d2qdy0da70t5zy0ar0elry0rl4raa4z8kkm8bmy0mas0nkzx18f1okc0110cngc88gz0ggo1fo1230o8g3ug311z12261t60gg0653zx255o7kdczy0358ngv1zy5mq23
}}
 
=== 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 in one phase are equivalent to the scrubber missing two and one cell respectively), 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$3bo3bo7bo3bo!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 24 GPS 2 THEME Book AUTOSTART ]]
|caption      = A period-4 wick comprised of asymmetric nuclei (can have ends stabilised for a {{LinkCatagolue|xp4_o8baa404aab8ozworle0elrozw6mas0sam6z64kll808llk46zw1y31|patternname=finite oscillator|style=raw}}).
}}
|{{EmbedViewer
|rle          = x = 23, y = 11, rule = B3/S23:T24,0
o2b2ob2o2bobo2b2ob2o2bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$b3o3b3o3b3o3b3o2$b3o3b3o3b3o3b3o$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o2b2ob2o2bobo2b2ob2o2bo!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 24 GPS 2 THEME Book AUTOSTART ]]
|caption      = A period-12 wick of glide-symmetric nuclei
}}
|}
 
The former of these (with a central gap of 2 cells to stabilise with [[spark coil]]s instead of gutters, like [[glasses]]) can be stabilised with fenceposts from a {{LinkCatagolue|xp4_8h99a606a99h8z2hiiac0caiih2|name=seminatural oscillator|style=raw}}.<ref>{{CiteDiscord|author=whatthesog|date=November 27, 2024|channel=cgol|id=1311359941935763518}}</ref>
 
{{EmbedViewer
|rle          = x = 25, y = 12, rule = B3/S23
2bo7bo3bo7bo$bo3bobo3bobo3bobo3bo$2bo2bobo3bobo3bobo2bo$bo3bobo3bobo3bobo3bo$2ob2o3b3o3b3o3b2ob2o$9bo5bo$9bo5bo$2ob2o3b3o3b3o3b2ob2o$bo3bobo3bobo3bobo3bo$2bo2bobo3bobo3bobo2bo$bo3bobo3bobo3bobo3bo$2bo7bo3bo7bo!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 700 HEIGHT 350 ZOOM 24 GPS 2 THEME Book AUTOSTART ]]
|caption      =
|apgcode      = xp4_6mbnwnbm6z0dlowoldzrrahwharrz0ml3w3lmzcdqtwtqdc
}}
 
== 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.<ref name="post48310" />
 
== See also ==
* [[Glasses]]
* [[Tubber]]
 
== References ==
<references>
<ref name="post48310">{{LinkForumThread
|format = ref
|title  = Re: Random posts
|p      = 48310
|author = Aleph
|date  = August 7, 2017
}}</ref>
<ref name="post148545">{{LinkForumThread
|format = ref
|title  = Re: dbsearch
|p      = 148545
|author = DroneBetter
|date  = July 22, 2022
}}</ref>
</references>
 
== External links ==
{{LinkLexicon|lex_s.htm#scrubber}}
{{LinkLexicon|lex_s.htm#scrubber}}
{{LinkCatagolue|xp2_gs2ib88gzx344kjge2zy21}}
{{LinkCatagolue|xp2_gs2ib88gzx344kjge2zy21}}
__NOTOC__
{{LinkPentadecathlonObject|28P2.17076}}
 
{{seminatural}}

Latest revision as of 14:24, 16 August 2026

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 xc
Rotor type Tub on-off
Discovered by Unknown
Year of discovery 1971
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)
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 GPS 4 THEME Book STARTFROM 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 GPS 2 THEME Book STARTFROM 4 ]]
a period-4 oscillator stabilising the scrubber's rotor in a periodic manner
(click above to open LifeViewer)
Catagolue: here

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)
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 GPS 2 THEME Book STARTFROM 4 ]]
(click above to open LifeViewer)
Catagolue: here

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

The former of these (with a central gap of 2 cells to stabilise with spark coils instead of gutters, like glasses) can be stabilised with fenceposts from a seminatural oscillator.[4]

x = 25, y = 12, rule = B3/S23 2bo7bo3bo7bo$bo3bobo3bobo3bobo3bo$2bo2bobo3bobo3bobo2bo$bo3bobo3bobo3bobo3bo$2ob2o3b3o3b3o3b2ob2o$9bo5bo$9bo5bo$2ob2o3b3o3b3o3b2ob2o$bo3bobo3bobo3bobo3bo$2bo2bobo3bobo3bobo2bo$bo3bobo3bobo3bobo3bo$2bo7bo3bo7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 700 HEIGHT 350 ZOOM 24 GPS 2 THEME Book AUTOSTART ]]
(click above to open LifeViewer)
Catagolue: here

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.[5]

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. ↑ whatthesog (November 27, 2024). Message in #cgol on the Conwaylife Lounge Discord server
  5. ↑ Aleph (August 7, 2017). Re: Random posts (discussion thread) at the ConwayLife.com forums
Retrieved from "https://conwaylife.com/w/index.php?title=Scrubber&oldid=174893"