Scrubber: Difference between revisions
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'''Scrubber''' is a {{period|2}} [[oscillator]] that was found in {{year|1971}}.<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. | '''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. | 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. | ||
Revision as of 03:53, 6 March 2022
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| 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 | ||||||||
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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.
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
- ↑ Robert Wainwright (September 1971). Lifeline, vol 3, page 3.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ 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