Scrubber: Difference between revisions
why do we have viewers that run for less than 1/4 second and then suddenly stop |
|||
| Line 99: | Line 99: | ||
3bo3bo7bo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$b3o3b3o3b3o3b3o2$b3o3b3o3b3o3b3o$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$3bo3bo7bo3bo! | 3bo3bo7bo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$b3o3b3o3b3o3b3o2$b3o3b3o3b3o3b3o$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$3bo3bo7bo3bo! | ||
|position = center | |position = center | ||
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 24 GPS 2 THEME Book AUTOSTART | |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 24 GPS 2 THEME Book AUTOSTART ]] | ||
|caption = A period-4 wick comprised of asymmetric nuclei (can have ends stabilised for a {{LinkCatagolue|xp4_o8baa404aab8ozworle0elrozw6mas0sam6z64kll808llk46zw1y31|patternname=finite oscillator|style=raw}}). | |caption = A period-4 wick comprised of asymmetric nuclei (can have ends stabilised for a {{LinkCatagolue|xp4_o8baa404aab8ozworle0elrozw6mas0sam6z64kll808llk46zw1y31|patternname=finite oscillator|style=raw}}). | ||
}} | }} | ||
| Line 106: | Line 106: | ||
o2b2ob2o2bobo2b2ob2o2bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$b3o3b3o3b3o3b3o2$b3o3b3o3b3o3b3o$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o2b2ob2o2bobo2b2ob2o2bo! | o2b2ob2o2bobo2b2ob2o2bo$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$b3o3b3o3b3o3b3o2$b3o3b3o3b3o3b3o$o3bobo3bobo3bobo3bo$o3bobo3bobo3bobo3bo$o2b2ob2o2bobo2b2ob2o2bo! | ||
|position = center | |position = center | ||
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 24 GPS 2 THEME Book AUTOSTART | |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 585 ZOOM 24 GPS 2 THEME Book AUTOSTART ]] | ||
|caption = A period-12 wick of glide-symmetric nuclei | |caption = A period-12 wick of glide-symmetric nuclei | ||
}} | }} | ||
Revision as of 18:10, 14 April 2023
| Scrubber | |||||||||
| 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.
|
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.
|
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).
|
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.
| (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.
| (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.
|
|
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
- ↑ Robert Wainwright (September 1971). Lifeline, vol 3, page 3.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ DroneBetter (July 22, 2022). Re: dbsearch (discussion thread) at the ConwayLife.com forums
- ↑ wwei23 (August 7, 2017). Re: Random posts (discussion thread) at the ConwayLife.com forums
External links
- Scrubber at the Life Lexicon
- 28P2.17076 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Oscillators with 28 cells
- Periodic objects with minimum population 28
- Patterns with 28 cells
- Patterns found in 1971
- Patterns that can be constructed with 10 gliders
- Oscillators
- Muttering moats
- Billiard tables
- Oscillators with period 2
- Oscillators with mod 2
- Oscillators with heat 4
- Oscillators with volatility 0.13
- Oscillators with strict volatility 0.13
- Oscillators with rotor Tub on-off
- Patterns with rectangular diagonal symmetry
- Semi-natural periodic objects