Toad: Difference between revisions
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{{Oscillator|p=2|name=Toad|pname=toad|c=6|h=8|bx=4|by=4|v=0.80|life105=true|life106=true|plaintext=true|rle=true|discoverer=Simon Norton|discoveryear=1970|animated=true|synthesis=3|synthesisRLE=true|rulemin=B3/S2|rulemax=B345678/S0235678|rulespecial=[[Conway's Game of Life|Conway Life]]}} | {{Oscillator|p=2|name=Toad|pname=toad|c=6|h=8|bx=4|by=4|v=0.80|life105=true|life106=true|plaintext=true|rle=true|discoverer=Simon Norton|discoveryear=1970|animated=true|synthesis=3|synthesisRLE=true|rulemin=B3/S2|rulemax=B345678/S0235678|rulespecial=[[Conway's Game of Life|Conway Life]]}} | ||
'''Toad''' is a [[period]] [[:Category:Oscillators with period 2|2]] [[oscillator]] that was found by [[Simon Norton]] in May [[:Category:Patterns found in 1970|1970]]. It is | '''Toad''' is a [[period]] [[:Category:Oscillators with period 2|2]] [[oscillator]] that was found by [[Simon Norton]] in May [[:Category:Patterns found in 1970|1970]]. It is one of very few known oscillators that is a [[polyomino]] in one of its [[phase]]s. 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 [[hassle]]d. | ||
==Commonness== | |||
Toad is the second most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]], although [[blinker]]s occur more than a hundred times as frequently.<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> | |||
==Toad flippers== | ==Toad flippers== | ||
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{{Symmetry|180degree}} | {{Symmetry|180degree}} | ||
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Revision as of 22:40, 16 June 2016
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| Pattern type | Oscillator | ||||||
|---|---|---|---|---|---|---|---|
| Number of cells | 6 | ||||||
| Bounding box | 4 × 4 | ||||||
| Period | 2 (mod: Unknown) | ||||||
| Heat | 8 | ||||||
| Volatility | 0.80 | 0.80 | ||||||
| Kinetic symmetry | Unspecified | ||||||
| Discovered by | Simon Norton | ||||||
| Year of discovery | 1970 | ||||||
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Toad is a period 2 oscillator that was found by Simon Norton in May 1970. 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.[1]
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.[2] 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.

Download RLE: click here
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.[3] 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.

Download RLE: click here
Additionally, moving toad suckers have been created that use the domino sparks from two parallel dragons to escort a toad at one-sixth of the speed of light.
See also
References
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ "Toad-flipper". The Life Lexicon. Stephen Silver. Retrieved on May 16, 2009.
- ↑ "Toad-sucker". The Life Lexicon. Stephen Silver. Retrieved on May 16, 2009.
External links
- Life Period-2 Oscillators (six-bit) at Mark D. Niemiec's Life Page
- Toad at the Life Lexicon
- Toad at Adam P. Goucher's Catagolue
- Patterns
- Oscillators with 6 cells
- Periodic objects with minimum population 6
- Patterns with 6 cells
- Patterns found by Simon Norton
- Patterns found in 1970
- Patterns that can be constructed with 3 gliders
- Oscillators
- Oscillators with period 2
- Oscillators with heat 8
- Oscillators with volatility 0.80
- Oscillators with strict volatility 0.80
- Patterns with 180-degree rotation symmetry