Toaster: Difference between revisions
No edit summary |
composition notes |
||
| (36 intermediate revisions by 9 users not shown) | |||
| Line 1: | Line 1: | ||
{{Oscillator | {{Oscillator | ||
'''Toaster''' (or '''lightweight volcano''') is a | |name = Toaster | ||
|pname = toaster | |||
|family = Volcano | |||
|c = 54 | |||
|bx = 15 | |||
|by = 12 | |||
|p = 5 | |||
|m = 5 | |||
|h = 21.6 | |||
|v = 0.54 | |||
|symmetry = -e | |||
|discoverer = Dean Hickerson | |||
|discoveryear = 1992 | |||
|rulemin = B3/S23 | |||
|rulemax = B38/S12378 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]] | |||
|isorulemin = B3-ck/S2-n3-ac | |||
|isorulemax = B2n34ceqtz5acin6cen7c8/S1234cejkwz5-j6-ac78 | |||
|plaintext = true | |||
|rle = true | |||
|animated = true | |||
|apgcode = xp5_3iabp22pbai3z8llk6gg6kll8zx11w11 | |||
|pentadecathlonid = 54P5.1 | |||
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 24 GPS 2 LOOP 5 ]] | |||
}} | |||
'''Toaster''' (or '''lightweight volcano''') is a {{period|5}} [[oscillator]] that was found by [[Dean Hickerson]] on April 1, {{year|1992}}<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> that produces [[spark]]s much like a [[lightweight spaceship]] on its left and right sides. Minimal changes can be done to change its symmetry type. It contains three separate [[rotor]]s: two copies of a basic sparker, mutually stabilized with the aid of a [[siesta]] variant encased in its center. The 42 and 53 cell variants upgrade this to an actual [[weld]] of the sparker engine with additional p5 components. | |||
[[Image:LW_volcano_gen4.png|thumb|center|Generation 4 of toaster reveals its sparks]] | |||
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 == | ||
{{ | 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. | ||
== Variants == | |||
There exist multiple smaller oscillators that give off LWSS sparks on only a single side. | |||
{{gallery top}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 16, y = 13, rule = B3/S23 | |||
11bo2bo$11bo$10bo4bo$3b2o4bob2ob2o$2bo2bo2b2o$2b3o3bo$8bo$4obob2o$o2bo3bo$5bob2o$4b2obo$4bo2bo$5b2o! | |||
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]] | |||
|position = center | |||
|caption = smaller-population (41 cells) but higher-bounding-box ({{times|16|13}}) "p5 [[unix]]" asymmetric period-5 LWSS emulator | |||
|style = width:300px; | |||
|apgcode = xp5_wg88gwgo4b809czc45d1k0snzy03543 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 15, y = 11, rule = B3/S23 | |||
4bo2bo2$3bo4bo$b3ob2ob3o$o3bo2bo3bo$2ob2o2b4obo$bobo3bo4bo$bobo4bobobobo$2bo5bo2bob2o$9bobo$10b2o! | |||
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]] | |||
|position = center | |||
|caption = 42-cell {{times|15|11}} variant, as used in the smallest [[period-40 glider gun]] | |||
|style = width:300px; | |||
|apgcode = xp5_0g8kk5b8oz6r0d4721z3egraa4 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 19, y = 9, rule = B3/S23 | |||
4bo2bo3b2o3bo$10bo2bobobo$3bo4bo2b3ob2o$b3ob2ob3o3bo$o3bo2bo3b2o2b2o$2ob2o2b4obo3bo$bobo3bo3bo4bobo$bobo4bo8b2o$2bo5bobo! | |||
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]] | |||
|position = center | |||
|caption = 53-cell {{times|19|9}} lower-clearance variant used to minimise bounding box, such as in the [[Hotcrystal0_reaction#Periodic_reflectors|p5 hotcrystal0 colour-preserving reflector]]. | |||
|style = width:300px; | |||
|apgcode = xp5_4aar1eozgk0u0rfzw2ds1e96z0ca230352 | |||
}}}} | |||
{{gallery bottom}} | |||
== See also == | |||
* [[Lightweight emulator]] | |||
* [[Middleweight volcano]] | |||
* [[Heavyweight volcano]] | |||
== References == | |||
<references> | |||
<ref name="post59531">{{LinkForumThread | |||
|format = ref | |||
|p = 59531 | |||
|title = Re: Soup search results | |||
|author = Apple Bottom | |||
|date = April 27, 2018 | |||
}}, and {{LinkCatagolue|code=xp5_gs2p787p2sgzpm0p909p0mpz0349e1e943|style=raw|patternname=Charity Engine's noninteracting stator variant}}</ref> | |||
<ref name="post137861">{{LinkForumThread | |||
|format = ref | |||
|p = 137861 | |||
|title = Re: Oscillator Discussion Thread | |||
|author = Entity Valkyrie | |||
|date = November 19, 2021 | |||
}}</ref> | |||
</references> | |||
== External links == | |||
* {{LinkLexicon|lex_t.htm#toaster}} | |||
* {{LinkCatagolue|xp5_3iabp22pbai3z8llk6gg6kll8zx11w11}} | |||
* {{LinkCatagolue|xp5_4aabp22pbai3zgjlk6gg6kll8z1w11w11|patternname=trans toaster}} | |||
* {{LinkPentadecathlonObject|54P5.1}} | |||
{{Sparker|p=5|type=dot|strength=strong}} | |||
__NOTOC__ | |||
Latest revision as of 20:12, 21 August 2026
| Toaster | |||||||||
| View animated image | |||||||||
| View static image | |||||||||
| 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 | ||||||||
| |||||||||
| |||||||||
| |||||||||
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. It contains three separate rotors: two copies of a basic sparker, mutually stabilized with the aid of a siesta variant encased in its center. The 42 and 53 cell variants upgrade this to an actual weld of the sparker engine with additional p5 components.

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) "p5 unix" 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
- 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