Difference between revisions of "Toaster"
m (lightweight! (aka copy-paste fix)) |
(since when do p4 oscillators work in p5 reflectors) |
||
(35 intermediate revisions by 10 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 | |||
|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. | |||
== | [[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}}) 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== | ==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== | ==External links== | ||
* | * {{LinkLexicon|lex_t.htm#toaster}} | ||
* {{LinkCatagolue|xp5_3iabp22pbai3z8llk6gg6kll8zx11w11}} | |||
* {{LinkCatagolue|xp5_4aabp22pbai3zgjlk6gg6kll8z1w11w11|patternname=trans toaster}} | |||
* {{LinkPentadecathlonObject|54P5.1}} | |||
{{Symmetry|orthogonal2}} | |||
{{Sparker|p=5|type=dot|strength=strong}} | |||
__NOTOC__ |
Latest revision as of 16:45, 30 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 | ||||||||
Strict volatility | 0.54 | ||||||||
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.
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
- 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