Toaster

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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
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.

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)
Catagoluehere
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)
Catagoluehere
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)
Catagoluehere


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

External links