Snake dance: Difference between revisions
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'''Snake dance''' is a {{period|3}} [[oscillator]] that was found by [[Robert Wainwright]] in May {{year|1972}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It has the same [[tub]]-like [[rotor]] as the '''[[snake pit]] 2''' shown below. | '''Snake dance''' is a {{period|3}} [[oscillator]] that was found by [[Robert Wainwright]] in May {{year|1972}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It has the same [[tub]]-like [[rotor]] as the '''[[snake pit]] 2''' shown below. | ||
== | == Glider synthesis == | ||
A {{gliders|16}} synthesis for snake dance was found by [[Jeremy Tan]] on March 29, {{year|2019}} based on a symmetric [[soup]] submitted to [[Catagolue]].<ref name="post74101" /> Long before that, a {{gliders|6}} synthesis for snake pit 2, which is four gliders symmetrically hitting a pre-traffic light, has been known and is listed on [[Mark Niemiec]]'s page. | A {{gliders|16}} synthesis for snake dance was found by [[Jeremy Tan]] on March 29, {{year|2019}} based on a symmetric [[soup]] submitted to [[Catagolue]].<ref name="post74101" /> Long before that, a {{gliders|6}} synthesis for snake pit 2, which is four gliders symmetrically hitting a pre-traffic light, has been known and is listed on [[Mark Niemiec]]'s page. | ||
==Commonness== | == Commonness == | ||
It is the second most common period-3 oscillator in C4_1 (odd fourfold rotational symmetry), being about eight times as common as the third-place snake pit 2. Second through sixth place all have the same rotor. | It is the second most common period-3 oscillator in C4_1 (odd fourfold rotational symmetry), being about eight times as common as the third-place snake pit 2. Second through sixth place all have the same rotor. | ||
==Gallery== | == Gallery == | ||
{{EmbedViewer | {{EmbedViewer | ||
|pname = snakepit2 | |pname = snakepit2 | ||
| Line 57: | Line 57: | ||
==External links== | ==External links== | ||
{{LinkLexicon|lex_s.htm#snakedance}} | * {{LinkLexicon|lex_s.htm#snakedance}} | ||
{{LinkCatagolue|xp3_kc0f1ab8oz11d58f032}} | * {{LinkCatagolue|xp3_kc0f1ab8oz11d58f032}} | ||
{{LinkPentadecathlonObject|32P3.754}} | * {{LinkPentadecathlonObject|32P3.754}} | ||
{{LinkLexicon|lex_s.htm#snakepit|name=Snake pit}} | * {{LinkLexicon|lex_s.htm#snakepit|name=Snake pit}} | ||
{{LinkPentadecathlonObject|36P3.68}} | * {{LinkPentadecathlonObject|36P3.68}} | ||
{{LinkNiemiec|lg | * {{LinkNiemiec|p3.htm#p3-lg|patternname=15 period 3 oscillators 26 bits and larger}} | ||
{{Symmetry|90degree}} | {{Symmetry|90degree}} | ||
{{seminatural}} | {{seminatural}} | ||
__NOTOC__ | __NOTOC__ | ||
Revision as of 08:40, 30 July 2022
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| Pattern type | Oscillator | ||||||||||||||
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| Oscillator type | Billiard table | ||||||||||||||
| Number of cells | 32 | ||||||||||||||
| Bounding box | 9 × 9 | ||||||||||||||
| Period | 3 (mod: 3) | ||||||||||||||
| Heat | 5.3 | ||||||||||||||
| Volatility | 0.22 | 0.22 | ||||||||||||||
| Kinetic symmetry | Unspecified | ||||||||||||||
| Discovered by | Robert Wainwright | ||||||||||||||
| Year of discovery | 1972 | ||||||||||||||
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Snake dance is a period-3 oscillator that was found by Robert Wainwright in May 1972.[1] It has the same tub-like rotor as the snake pit 2 shown below.
Glider synthesis
A 16-glider synthesis for snake dance was found by Jeremy Tan on March 29, 2019 based on a symmetric soup submitted to Catagolue.[2] Long before that, a 6-glider synthesis for snake pit 2, which is four gliders symmetrically hitting a pre-traffic light, has been known and is listed on Mark Niemiec's page.
Commonness
It is the second most common period-3 oscillator in C4_1 (odd fourfold rotational symmetry), being about eight times as common as the third-place snake pit 2. Second through sixth place all have the same rotor.
Gallery
| Snake pit 2 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Jeremy Tan (March 29, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- Snake dance at the Life Lexicon
- Snake dance at Adam P. Goucher's Catagolue
- 32P3.754 at Heinrich Koenig's Game of Life Object Catalogs
- Snake pit at the Life Lexicon
- 36P3.68 at Heinrich Koenig's Game of Life Object Catalogs
- 15 period 3 oscillators 26 bits and larger at Mark D. Niemiec's Life Page
Categories:
- Patterns
- Oscillators with 32 cells
- Periodic objects with minimum population 32
- Patterns with 32 cells
- Patterns found by Robert Wainwright
- Patterns found in 1972
- Patterns that can be constructed with 16 gliders
- Patterns that can be constructed with 6 gliders
- Oscillators
- Billiard tables
- Oscillators with period 3
- Oscillators with mod 3
- Oscillators with heat 5
- Oscillators with volatility 0.22
- Oscillators with strict volatility 0.22
- Patterns with 90-degree rotation symmetry
- Semi-natural periodic objects