Scrubber: Difference between revisions

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Add LifeViewer embed with Charity Engine oscillator containing its rotor (it's something to mention, I suppose)
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)
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The scrubber appears commonly in random soups on a 6×6 torus. The walls stabilize each other; no casing is needed.
The scrubber appears commonly in random soups on a 6×6 torus. The walls stabilize each other; no casing is needed.


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).
==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.
{|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 585 ZOOM 16 THEME Book AUTOSTART STOP 13 ]]
|caption      = blocktopus
|apgcode      = xp8_y7jjgxgjjzy66oq03030qo6z66wegl166k430111034k661lgew66zoows2a0oob8gy1g8boo0a2swoozy211wo6n0h1h0n6ow11zy7ii21012iizy711y111
}}
|}
 
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 585 ZOOM 32 THEME Book AUTOSTART STOP 8 ]]
|caption      = monomerisation of Charity's scrubber-hassling p6
|apgcode      = xp6_y03hzy0hv852g8gz4s07888632262w46zw113
}}
|}
 
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).
{|style="margin:auto;width:240px;"
{|style="margin:auto;width:240px;"
|{{EmbedViewer
|{{EmbedViewer
|rle          = x = 13, y = 13, rule = B3/S23
|rle          = x = 13, y = 13, rule = B3/S23
b2o8bo$ob3o4b2obo$bob2o2b2o2b2o$bo5b2ob2o$2b2ob3o2b2o$2b3o3bo$4bo3bo$4bo3b3o$
b2o8bo$ob3o4b2obo$bob2o2b2o2b2o$bo5b2ob2o$2b2ob3o2b2o$2b3o3bo$4bo3bo$4bo3b3o$b2o2b3ob2o$b2ob2o5bo$2o2b2o2b2obo$ob2o4b3obo$bo8b2o!
b2o2b3ob2o$b2ob2o5bo$2o2b2o2b2obo$ob2o4b3obo$bo8b2o!
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 40 THEME Book AUTOSTART STOP 4 ]]
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 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

Revision as of 14:56, 4 March 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 the blocktopus, a period-8 oscillator, 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 585 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 585 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 585 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

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.[3]

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. ↑ wwei23 (August 7, 2017). Re: Random posts (discussion thread) at the ConwayLife.com forums
Retrieved from "https://conwaylife.com/w/index.php?title=Scrubber&oldid=125891"