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|viewerconfig    = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 24 GPS 2 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.


[[Image:LW_volcano_gen4.png|thumb|center|Generation 4 of toaster reveals its sparks]]
[[Image:LW_volcano_gen4.png|thumb|center|Generation 4 of toaster reveals its sparks]]


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>.
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>.


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" />
As of May 30, 2023, no variants with less than order-4 symmetry have occurred seminaturally.


Multiple smaller oscillators with only single LWSS sparks also exist.
==Variants==
There exist multiple smaller oscillators that give off LWSS sparks on only a single side.
{{gallery top}}
{{gallery top}}
{{gallery item|{{EmbedViewer
{{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 [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
|position    = center
|position    = center
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{{gallery item|{{EmbedViewer
{{gallery item|{{EmbedViewer
|rle          = x = 15, y = 11, rule = B3/S23
|rle          = x = 15, y = 11, rule = B3/S23
4bo2bo2$3bo4bo$b3ob2ob3o$o3bo2bo3bo$2ob2o2b4obo$bobo3bo4bo$bobo4bobob
4bo2bo2$3bo4bo$b3ob2ob3o$o3bo2bo3bo$2ob2o2b4obo$bobo3bo4bo$bobo4bobobobo$2bo5bo2bob2o$9bobo$10b2o!
obo$2bo5bo2bob2o$9bobo$10b2o!
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]
|position    = center
|position    = center
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|style        = width:300px;
|style        = width:300px;
|apgcode      = xp5_0g8kk5b8oz6r0d4721z3egraa4
|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|p4 hotcrystal0 colour-preserving reflector]].
|style        = width:300px;
|apgcode      = xp5_4aar1eozgk0u0rfzw2ds1e96z0ca230352
}}}}
}}}}
{{gallery bottom}}
{{gallery bottom}}
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* {{LinkLexicon|lex_t.htm#toaster}}
* {{LinkLexicon|lex_t.htm#toaster}}
* {{LinkCatagolue|xp5_3iabp22pbai3z8llk6gg6kll8zx11w11}}
* {{LinkCatagolue|xp5_3iabp22pbai3z8llk6gg6kll8zx11w11}}
* {{LinkCatagolue|xp5_4aabp22pbai3zgjlk6gg6kll8z1w11w11|patternname=trans toaster}} (has not yet occurred seminaturally)
* {{LinkCatagolue|xp5_4aabp22pbai3zgjlk6gg6kll8z1w11w11|patternname=trans toaster}}
* {{LinkPentadecathlonObject|54P5.1}}
* {{LinkPentadecathlonObject|54P5.1}}


Revision as of 11:38, 30 May 2023

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 ]]
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 Unspecified
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.

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) 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 p4 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


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