Toaster: Difference between revisions

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Add other LWSS emulator, which seems appropriate to put here, being that it isn't linked to any article by Catagolue and that the Emulators article links here for p5 LWSS emulators, so it is where people would go to look (terribly sorry for previous premature edit, I pressed the enter key by accident and am using my smartphone)
composition notes
 
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|h                = 21.6
|h                = 21.6
|v                = 0.54
|v                = 0.54
|symmetry        = -e
|discoverer      = Dean Hickerson
|discoverer      = Dean Hickerson
|discoveryear    = 1992
|discoveryear    = 1992
Line 22: Line 23:
|apgcode          = xp5_3iabp22pbai3z8llk6gg6kll8zx11w11
|apgcode          = xp5_3iabp22pbai3z8llk6gg6kll8zx11w11
|pentadecathlonid = 54P5.1
|pentadecathlonid = 54P5.1
|viewerconfig    = #C [[ GPS 2 ZOOM 20 LOOP 5 ]]
|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. A minimal change can be done to change its symmetry type.
'''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.


A [[stator]] variant of this oscillator appeared [[semi-natural]]ly on {{year|2018}}, in a [[symmetric]] [[soup]] submitted to [[Catagolue]] by [[Apple Bottom]]<ref name="post59531"/>, and another on 2022-02-16 by [[Charity Engine]]<ref> {{LinkCatagolue|code=xp5_gs2ib8bi2sgzvm6p999p6mvz0344d1d443|style=raw|patternname=Charity Engine's variant}} (and a larger {{LinkCatagolue|code=xp5_0o44mhm44ozjd0ji1ij0djz1789q3q9871zy11|style=raw|patternname=Charity Engine's variant of that}} varying only in noninteracting stator cells) on [[Catagolue]]</ref>.
[[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 5n+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" />


There is a smaller-population (41 cells) but higher-bounding-box (16*13) asymmetric period-5 LWSS emulator.
== 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>.


{{EmbedViewer
{{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
|rle          = x = 16, y = 13, rule = B3/S23
11bo2bo$11bo$10bo4bo$3b2o4bob2ob2o$2bo2bo2b2o$2b3o3bo$8bo$4obob2o$o2bo3bo$5bo
11bo2bo$11bo$10bo4bo$3b2o4bob2ob2o$2bo2bo2b2o$2b3o3bo$8bo$4obob2o$o2bo3bo$5bob2o$4b2obo$4bo2bo$5b2o!
b2o$4b2obo$4bo2bo$5b2o!
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
|viewerconfig = #C [[ HEIGHT 320 ]]
|position    = center
|position    = center
|caption      = Alternative
|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
|apgcode      = xp5_wg88gwgo4b809czc45d1k0snzy03543
}}
}}}}
==Image gallery==
{{gallery item|{{EmbedViewer
{|
|rle          = x = 15, y = 11, rule = B3/S23
|-
4bo2bo2$3bo4bo$b3ob2ob3o$o3bo2bo3bo$2ob2o2b4obo$bobo3bo4bo$bobo4bobobobo$2bo5bo2bob2o$9bobo$10b2o!
|[[Image:LW_volcano_gen4.png|thumb|left|Generation 4 of toaster reveals its sparks]]
|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==
== 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
|format = ref
|format = ref
|p      = 59531
|title  = Re: Soup search results
|title  = Re: Soup search results
|p      = 59531
|author = Apple Bottom
|author = Apple Bottom
|date  = April 27, 2018
|date  = April 27, 2018
Line 63: Line 84:
<ref name="post137861">{{LinkForumThread
<ref name="post137861">{{LinkForumThread
|format = ref
|format = ref
|p      = 137861
|title  = Re: Oscillator Discussion Thread
|title  = Re: Oscillator Discussion Thread
|p      = 137861
|author = Entity Valkyrie
|author = Entity Valkyrie
|date  = November 19, 2021
|date  = November 19, 2021
Line 70: Line 91:
</references>
</references>


==External links==
== External links ==
{{LinkLexicon|lex_t.htm#toaster}}
* {{LinkLexicon|lex_t.htm#toaster}}
{{LinkCatagolue|xp5_3iabp22pbai3z8llk6gg6kll8zx11w11}}
* {{LinkCatagolue|xp5_3iabp22pbai3z8llk6gg6kll8zx11w11}}
{{LinkPentadecathlonObject|54P5.1}}
* {{LinkCatagolue|xp5_4aabp22pbai3zgjlk6gg6kll8z1w11w11|patternname=trans toaster}}
* {{LinkPentadecathlonObject|54P5.1}}


{{Symmetry|orthogonal2}}
{{Sparker|p=5|type=dot|strength=strong}}
{{Sparker|p=5|type=dot|strength=strong}}
__NOTOC__
__NOTOC__

Latest revision as of 20:12, 21 August 2026

Toaster
x = 11, y = 12, rule = B3/S23 2bo6b2o$bobob2o2bo$bobobobobo$2obo3bob2o$o2b2ob2o2bo$bo7bo$bo7bo$o2b2o b2o2bo$2obo3bob2o$bobobobobo$bobob2o2bo$2bo6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 24 GPS 2 LOOP 5 ]]
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.

Generation 4 of toaster reveals its sparks

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.

x = 16, y = 13, rule = B3/S23 11bo2bo$11bo$10bo4bo$3b2o4bob2ob2o$2bo2bo2b2o$2b3o3bo$8bo$4obob2o$o2bo3bo$5bob2o$4b2obo$4bo2bo$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
smaller-population (41 cells) but higher-bounding-box (16 × 13) "p5 unix" asymmetric period-5 LWSS emulator
(click above to open LifeViewer)
Catagolue: here
x = 15, y = 11, rule = B3/S23 4bo2bo2$3bo4bo$b3ob2ob3o$o3bo2bo3bo$2ob2o2b4obo$bobo3bo4bo$bobo4bobobobo$2bo5bo2bob2o$9bobo$10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
42-cell 15 × 11 variant, as used in the smallest period-40 glider gun
(click above to open LifeViewer)
Catagolue: here
x = 19, y = 9, rule = B3/S23 4bo2bo3b2o3bo$10bo2bobobo$3bo4bo2b3ob2o$b3ob2ob3o3bo$o3bo2bo3b2o2b2o$2ob2o2b4obo3bo$bobo3bo3bo4bobo$bobo4bo8b2o$2bo5bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
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

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. ↑ Entity Valkyrie (November 19, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. ↑ Apple Bottom (April 27, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums , and Charity Engine's noninteracting stator variant
  4. ↑ Charity Engine's variant with covers (and its larger variant of that with additional stator cells) on Catagolue