Toad

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Toad
b2o$o$3bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
Pattern type Oscillator
Number of cells 6
Bounding box 4×4
Frequency class 7.1
Period 2
Mod 2
Heat 8
Volatility 0.80
Strict volatility 0.80
Rotor type Toad
Discovered by Simon Norton
Year of discovery 1970

Toad is a period-2 oscillator that was found by Simon Norton in May 1970.[1] It is one of very few known oscillators that is a polyomino in one of its phases. Toads often appear in large, complex patterns because of their ability to eat things when paired together (as in killer toads). Additionally, toads are useful as building blocks for constructing large oscillators with periods that are a multiple of two because of the various ways in which they can be hassled.

Commonness

Toad is the second most common naturally-occurring oscillator in Achim Flammenkamp's census, although blinkers occur more than a hundred times as frequently.[2] It is also the eleventh most common object on Adam P. Goucher's Catagolue.[3]

Toad flippers

A toad flipper is a hassler that works by having two domino sparkers (pentadecathlons in the example shown below) apply their sparks to the toad in order to flip it over.[4] When the sparks are applied again, the toad is flipped back. Either or both domino sparkers can be moved down two cells from the position shown and the toad flipper will still work, but because of symmetry there are really only two different types of toad flippers. For another example of a toad flipper, see 186P24 and the period 4 turning toads wick.

Toad suckers

A toad sucker is a toad hassler that works by having two domino sparkers (pentadecathlons in the example shown below) apply their sparks to the toad in order to shift it.[5] When the sparks are applied again, the toad is shifted back. Either or both domino sparkers can be moved down two cells from the position shown and the toad sucker will still work, but because of symmetry there are really only three different types of toad suckers. A p4 example is shown in the "subsequent improvement of the p44 gun" as a sparker in the p44 pi-heptomino hassler article.

Additionally, moving toad suckers have been created that use the domino sparks from two parallel even-period spaceships to escort a toad.

Gallery

x = 18, y = 10, rule = B3/S23 bo14bo$bo14bo$obo12bobo$bo14bo$bo6bo7bo$bo6b2o6bo$bo6b2o6bo$obo6bo5bob o$bo14bo$bo14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 15 LOOP 60 ]]
p60 toad flipper (Catagoluehere)
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 18, y = 11, rule = B3/S23 bo$bo14bo$obo13bo$bo13bobo$bo6bo7bo$bo6b2o6bo$bo6b2o6bo$obo6bo6bo$bo 13bobo$bo14bo$16bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 15 LOOP 60 ]]
p60 toad sucker (Catagoluehere)
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 111, y = 30, rule = B3/S23 78bo6bo$54bo6bo15bobo4bobo11bo6bo$53bobo4bobo14bobo4bobo10bobo4bobo$ 53bobo4bobo15bo6bo11bobo4bobo$54bo6bo36bo6bo$77b3o4b3o$53b3o4b3o14b4o 2b4o10b3o4b3o$53b4o2b4o17bo2bo13b4o2b4o$56bo2bo17b3ob2ob3o13bo2bo$53b 3ob2ob3o14b2o6b2o10b3ob2ob3o$53b2o6b2o13b2o8b2o9b2o6b2o$52b2o8b2o32b2o 8b2o$75bo12bo$51bo12bo8bo2bo10bo2bo4bo12bo$49bo2bo10bo2bo2b2o2bo2bo10b o2bo2bo2bo10bo2bo$49bo2bo10bo2bo4bo21bo2bo10bo2bo$68bo7b3o6b3o$52b3o6b 3o5b2o5bo10bo8b3o6b3o$52bo10bo14bo6bo10bo10bo$30bo11bo11bo6bo14b3o6b3o 10bo6bo$3bo11bo14bo11bo9b3o6b3o32b3o6b3o$3bo11bo13bobo9bobo35bob2obo4b obo$2bobo9bobo38bob2obo19bo2bo7b2obo4bob2obo$28bo3bo7bo3bo11bo2bo16bob 2ob2ob2obo3b2o7bo2bo$bo3bo7bo3bo10bob6ob6obo7bob2ob2ob2obo12b3o6b3o4bo 3bob2ob2ob2obo$bob6ob6obo9bo7bobo7bo6b3o6b3o32b3o6b3o$o7bobo7bo3b3o2bo 7bobo7bo30bobo6bobo$o7bobo7bo2bo5bo17bo6bobo6bobo12bobo6bobo8bobo6bobo $o17bo9bob2ob2o3b2ob2obo7bobo6bobo10b3ob3o2b3ob3o6bobo6bobo$bob2ob2o3b 2ob2obo4b2o26b3ob3o2b3ob3o28b3ob3o2b3ob3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Left: two copies of 46P4H1V0 escorting a toad at c/4 orthogonal
Right: dragons escorting a toad at c/6 orthogonal in two different ways
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  4. "Toad-flipper". The Life Lexicon. Stephen Silver. Retrieved on May 16, 2009.
  5. "Toad-sucker". The Life Lexicon. Stephen Silver. Retrieved on May 16, 2009.

External links


  • 6P2.1 at Heinrich Koenig's Game of Life Object Catalogs