Gray counter: Difference between revisions
Jump to navigation
Jump to search
→External links: removed Template:LinkWeisstein per tiki bar discussion using AutoWikiBrowser |
m →top: appspot -> hatsya using AutoWikiBrowser |
||
| Line 31: | Line 31: | ||
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]] [https://catagolue. | A {{gliders|27}} [[synthesis]] is known for a [[stator]] [https://catagolue.hatsya.com/object/xp4_wgiligz25a888a52zx256/b3s23 variant] of this oscillator in which one of the tubs is replaced with a [[boat]]. 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== | ||
Revision as of 18:19, 11 December 2020
| Gray counter | |||||||||||
| View animated image | |||||||||||
| View static image | |||||||||||
| 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 | ||||||||||
| |||||||||||
| |||||||||||
| |||||||||||
| |||||||||||
Gray counter is a period-4 oscillator that was found in 1971.[1] 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. 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
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ 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