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On November 19, {{year|2021}}, [[Dongook Lee]] and [[Entity Valkyrie]] observed that a toaster can be [[phase shift]]ed to produce an oscillator of period {{nowrap|5''n'' + 2}}.<ref name="post137861" /> | On November 19, {{year|2021}}, [[Dongook Lee]] and [[Entity Valkyrie]] observed that a toaster can be [[phase shift]]ed to produce an oscillator of period {{nowrap|5''n'' + 2}}.<ref name="post137861" /> | ||
==Commonness== | == Commonness == | ||
A [[stator]] variant of this oscillator appeared [[semi-natural]]ly on April 27, {{year|2018}}, in a [[symmetric]] [[soup]] submitted to [[Catagolue]] by [[Apple Bottom]]<ref name="post59531"/>, and another on February 16, {{year|2022}}, by [[Charity Engine]]<ref>{{LinkCatagolue|code=xp5_gs2ib8bi2sgzvm6p999p6mvz0344d1d443|style=raw|patternname=Charity Engine's variant}} with [[cover]]s (and its {{LinkCatagolue|code=xp5_0o44mhm44ozjd0ji1ij0djz1789q3q9871zy11|style=raw|patternname=larger variant of that}} with additional stator cells) on [[Catagolue]]</ref>. | A [[stator]] variant of this oscillator appeared [[semi-natural]]ly on April 27, {{year|2018}}, in a [[symmetric]] [[soup]] submitted to [[Catagolue]] by [[Apple Bottom]]<ref name="post59531"/>, and another on February 16, {{year|2022}}, by [[Charity Engine]]<ref>{{LinkCatagolue|code=xp5_gs2ib8bi2sgzvm6p999p6mvz0344d1d443|style=raw|patternname=Charity Engine's variant}} with [[cover]]s (and its {{LinkCatagolue|code=xp5_0o44mhm44ozjd0ji1ij0djz1789q3q9871zy11|style=raw|patternname=larger variant of that}} with additional stator cells) on [[Catagolue]]</ref>. | ||
As of May 30, 2023, no variants with less than order-4 symmetry have occurred seminaturally. | As of May 30, 2023, no variants with less than order-4 symmetry have occurred seminaturally. | ||
==Variants== | == Variants == | ||
There exist multiple smaller oscillators that give off LWSS sparks on only a single side. | There exist multiple smaller oscillators that give off LWSS sparks on only a single side. | ||
{{gallery top}} | {{gallery top}} | ||
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{{gallery bottom}} | {{gallery bottom}} | ||
==See also== | == See also == | ||
* [[Lightweight emulator]] | * [[Lightweight emulator]] | ||
* [[Middleweight volcano]] | * [[Middleweight volcano]] | ||
* [[Heavyweight volcano]] | * [[Heavyweight volcano]] | ||
==References== | == References == | ||
<references> | <references> | ||
<ref name="post59531">{{LinkForumThread | <ref name="post59531">{{LinkForumThread | ||
| Line 91: | Line 91: | ||
</references> | </references> | ||
==External links== | == External links == | ||
* {{LinkLexicon|lex_t.htm#toaster}} | * {{LinkLexicon|lex_t.htm#toaster}} | ||
* {{LinkCatagolue|xp5_3iabp22pbai3z8llk6gg6kll8zx11w11}} | * {{LinkCatagolue|xp5_3iabp22pbai3z8llk6gg6kll8zx11w11}} | ||
| Line 97: | Line 97: | ||
* {{LinkPentadecathlonObject|54P5.1}} | * {{LinkPentadecathlonObject|54P5.1}} | ||
{{Sparker|p=5|type=dot|strength=strong}} | {{Sparker|p=5|type=dot|strength=strong}} | ||
__NOTOC__ | __NOTOC__ | ||
Revision as of 14:15, 7 August 2024
| Toaster | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Family | Volcano | ||||||||
| Number of cells | 54 | ||||||||
| Bounding box | 15 × 12 | ||||||||
| Period | 5 (mod: 5) | ||||||||
| Heat | 21.6 | ||||||||
| Volatility | 0.54 | 0.54 | ||||||||
| Kinetic symmetry | -e | ||||||||
| Discovered by | Dean Hickerson | ||||||||
| Year of discovery | 1992 | ||||||||
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Toaster (or lightweight volcano) is a period-5 oscillator that was found by Dean Hickerson on April 1, 1992[1] that produces sparks much like a lightweight spaceship on its left and right sides. Minimal changes can be done to change its symmetry type.
On November 19, 2021, Dongook Lee and Entity Valkyrie observed that a toaster can be phase shifted to produce an oscillator of period 5n + 2.[2]
Commonness
A stator variant of this oscillator appeared semi-naturally on April 27, 2018, in a symmetric soup submitted to Catagolue by Apple Bottom[3], and another on February 16, 2022, by Charity Engine[4].
As of May 30, 2023, no variants with less than order-4 symmetry have occurred seminaturally.
Variants
There exist multiple smaller oscillators that give off LWSS sparks on only a single side.
| smaller-population (41 cells) but higher-bounding-box (16 × 13) asymmetric period-5 LWSS emulator (click above to open LifeViewer) Catagolue: here |
| 42-cell 15 × 11 variant, as used in the smallest period-40 glider gun (click above to open LifeViewer) Catagolue: here |
| 53-cell 19 × 9 lower-clearance variant used to minimise bounding box, such as in the p5 hotcrystal0 colour-preserving reflector. (click above to open LifeViewer) Catagolue: here |
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Entity Valkyrie (November 19, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Apple Bottom (April 27, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums , and Charity Engine's noninteracting stator variant
- ↑ Charity Engine's variant with covers (and its larger variant of that with additional stator cells) on Catagolue
External links
- Toaster at the Life Lexicon
- Toaster at Adam P. Goucher's Catagolue
- trans toaster at Adam P. Goucher's Catagolue
- 54P5.1 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 54 cells
- Periodic objects with minimum population 54
- Patterns with 54 cells
- Patterns found by Dean Hickerson
- Patterns found in 1992
- Oscillators
- Volcano variants
- Oscillators with period 5
- Oscillators with mod 5
- Oscillators with heat 21
- Oscillators with volatility 0.54
- Oscillators with strict volatility 0.54
- Oscillators with -e symmetry
- Sparkers
- Sparkers with period 5
- Dot sparkers
- Strong sparkers