Gray counter: Difference between revisions
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first natural appearance of stator variant |
11G for natural variant |
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The 5-cell long sides of the main part of the stator require [[induction coil]]s: the option with the smallest population (as well as the highest symmetry) uses two [[tub]]s as pictured. A smaller [[bounding box]] may be reached using [[snake]]s or [[bi-block]]s. | The 5-cell long sides of the main part of the stator require [[induction coil]]s: the option with the smallest population (as well as the highest symmetry) uses two [[tub]]s as pictured. A smaller [[bounding box]] may be reached using [[snake]]s or [[bi-block]]s. | ||
A {{gliders|27}} [[synthesis]] is known for a [[stator]] variant of this oscillator in which one of the tubs is replaced with a [[boat]].<ref>{{citeCatagolue|title=xp4_wgiligz25a888a52zx256|page=object/xp4_wgiligz25a888a52zx256/b3s23|accessdate=May 24, 2019}}</ref> Additionally, another variant is known which occurred [[natural]]ly on October 31, {{year|2015}}, in a [[soup]] submitted to [[Catagolue]] by [[Tomas Rokicki]].<ref name="post24577" /> | A {{gliders|27}} [[synthesis]] is known for a [[stator]] variant of this oscillator in which one of the tubs is replaced with a [[boat]].<ref>{{citeCatagolue|title=xp4_wgiligz25a888a52zx256|page=object/xp4_wgiligz25a888a52zx256/b3s23|accessdate=May 24, 2019}}</ref> Additionally, another variant is known which occurred [[natural]]ly on October 31, {{year|2015}}, in a [[soup]] submitted to [[Catagolue]] by [[Tomas Rokicki]].<ref name="post24577" /> [[GUYTU6J]] found an {{gliders|11}} [[synthesis]] for the latter variant based on this soup on March 14, {{year|2020}}.<ref name="post91129" /> | ||
==See also== | ==See also== | ||
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|author = Adam P. Goucher | |author = Adam P. Goucher | ||
|date = November 3, 2015 | |date = November 3, 2015 | ||
}}</ref> | |||
<ref name="post91129">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Synthesising Oscillators | |||
|p = 91129 | |||
|author = GUYTU6J | |||
|date = March 14, 2020 | |||
}}</ref> | }}</ref> | ||
</references> | </references> | ||
Revision as of 14:00, 14 March 2020
| Gray counter | |||||||||||
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| Pattern type | Oscillator | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Oscillator type | Muttering moat | ||||||||||
| Billiard table | |||||||||||
| Number of cells | 26 | ||||||||||
| Bounding box | 13 × 9 | ||||||||||
| Period | 4 (mod: 4) | ||||||||||
| Heat | 2 | ||||||||||
| Volatility | 0.13 | 0.13 | ||||||||||
| Kinetic symmetry | Unspecified | ||||||||||
| Discovered by | Unknown | ||||||||||
| Year of discovery | 1971 | ||||||||||
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Gray counter is a period-4 oscillator that was found in 1971. The interior rotor simulates a cycle through the Gray codes from 0 to 3.
The 5-cell long sides of the main part of the stator require induction coils: the option with the smallest population (as well as the highest symmetry) uses two tubs as pictured. A smaller bounding box may be reached using snakes or bi-blocks.
A 27-glider synthesis is known for a stator variant of this oscillator in which one of the tubs is replaced with a boat.[1] Additionally, another variant is known which occurred naturally on October 31, 2015, in a soup submitted to Catagolue by Tomas Rokicki.[2] GUYTU6J found an 11-glider synthesis for the latter variant based on this soup on March 14, 2020.[3]
See also
References
- ↑ Adam P. Goucher. "xp4_wgiligz25a888a52zx256". Catagolue. Retrieved on May 24, 2019.
- ↑ Adam P. Goucher (November 3, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ GUYTU6J (March 14, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- Gray code at Wikipedia
- Gray counter at the Life Lexicon
- 26P4.3 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 26 cells
- Periodic objects with minimum population 26
- Patterns with 26 cells
- Patterns found in 1971
- Patterns that can be constructed with 29 gliders
- Oscillators
- Muttering moats
- Billiard tables
- Oscillators with period 4
- Oscillators with mod 4
- Oscillators with heat 2
- Oscillators with volatility 0.13
- Oscillators with strict volatility 0.13
- Patterns with rectangular orthogonal symmetry
- Semi-natural periodic objects