Toaster: Difference between revisions
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DroneBetter (talk | contribs) m Add {{br}}'s and Catagolue link to (still (as of yet) un-seminatural) trans toaster |
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|apgcode = xp5_3iabp22pbai3z8llk6gg6kll8zx11w11 | |apgcode = xp5_3iabp22pbai3z8llk6gg6kll8zx11w11 | ||
|pentadecathlonid = 54P5.1 | |pentadecathlonid = 54P5.1 | ||
|viewerconfig = #C [[ GPS 2 | |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. A minimal change can be done to change its symmetry type. | ||
[[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>. | 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 | 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" /> | ||
Multiple smaller oscillators with only single LWSS sparks also exist. | Multiple smaller oscillators with only single LWSS sparks also exist. | ||
{ | {{gallery top}} | ||
{{gallery item|{{EmbedViewer | |||
|{{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$5bo | ||
b2o$4b2obo$4bo2bo$5b2o! | b2o$4b2obo$4bo2bo$5b2o! | ||
|viewerconfig = #C [[ | |viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]] | ||
|position = center | |position = center | ||
|caption = smaller-population (41 cells) but higher-bounding-box{{ | |caption = smaller-population (41 cells) but higher-bounding-box ({{times|16|13}}) asymmetric period-5 LWSS emulator | ||
|style = width:300px; | |||
|apgcode = xp5_wg88gwgo4b809czc45d1k0snzy03543 | |apgcode = xp5_wg88gwgo4b809czc45d1k0snzy03543 | ||
}} | }}}} | ||
{{gallery item|{{EmbedViewer | |||
|{{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$bobo4bobob | ||
obo$2bo5bo2bob2o$9bobo$10b2o! | obo$2bo5bo2bob2o$9bobo$10b2o! | ||
|viewerconfig = #C [[ | |viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]] | ||
|position = center | |position = center | ||
|caption = 42-cell 15 | |caption = 42-cell {{times|15|11}} variant, as used in the smallest [[period-40 glider gun]] | ||
|style = width:300px; | |||
|apgcode = xp5_0g8kk5b8oz6r0d4721z3egraa4 | |apgcode = xp5_0g8kk5b8oz6r0d4721z3egraa4 | ||
}} | }}}} | ||
{{gallery bottom}} | |||
==See also== | ==See also== | ||
*[[Lightweight emulator]] | * [[Lightweight emulator]] | ||
*[[Middleweight volcano]] | * [[Middleweight volcano]] | ||
*[[Heavyweight volcano]] | * [[Heavyweight volcano]] | ||
==References== | ==References== | ||
| Line 69: | Line 65: | ||
<ref name="post59531">{{LinkForumThread | <ref name="post59531">{{LinkForumThread | ||
|format = ref | |format = ref | ||
|p = 59531 | |||
|title = Re: Soup search results | |title = Re: Soup search results | ||
|author = Apple Bottom | |author = Apple Bottom | ||
|date = April 27, 2018 | |date = April 27, 2018 | ||
| Line 76: | Line 72: | ||
<ref name="post137861">{{LinkForumThread | <ref name="post137861">{{LinkForumThread | ||
|format = ref | |format = ref | ||
|p = 137861 | |||
|title = Re: Oscillator Discussion Thread | |title = Re: Oscillator Discussion Thread | ||
|author = Entity Valkyrie | |author = Entity Valkyrie | ||
|date = November 19, 2021 | |date = November 19, 2021 | ||
| Line 84: | Line 80: | ||
==External links== | ==External links== | ||
{{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}} (has not yet occurred seminaturally) | ||
{{LinkPentadecathlonObject|54P5.1}} | * {{LinkPentadecathlonObject|54P5.1}} | ||
{{Symmetry|orthogonal2}} | {{Symmetry|orthogonal2}} | ||
{{Sparker|p=5|type=dot|strength=strong}} | {{Sparker|p=5|type=dot|strength=strong}} | ||
__NOTOC__ | __NOTOC__ | ||
Revision as of 17:02, 18 May 2023
| 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 | Unspecified | ||||||||
| 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. A minimal change can be done to change its symmetry type.

A stator variant of this oscillator appeared semi-naturally on 2018, in a symmetric soup submitted to Catagolue by Apple Bottom[2], and another on 2022-02-16 by Charity Engine[3].
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.[4]
Multiple smaller oscillators with only single LWSS sparks also exist.
| 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 |
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ 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 (and a larger Charity Engine's variant of that varying only in noninteracting stator cells) on Catagolue
- ↑ Entity Valkyrie (November 19, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
External links
- Toaster at the Life Lexicon
- Toaster at Adam P. Goucher's Catagolue
- trans toaster at Adam P. Goucher's Catagolue (has not yet occurred seminaturally)
- 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
- Patterns with bilateral orthogonal symmetry
- Sparkers
- Sparkers with period 5
- Dot sparkers
- Strong sparkers