Heart
| Heart | |||||||||||
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| Pattern type | Oscillator | ||||||||||
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| Number of cells | 26 | ||||||||||
| Bounding box | 11 × 11 | ||||||||||
| Period | 5 (mod: 5) | ||||||||||
| Heat | 8.8 | ||||||||||
| Volatility | 0.50 | 0.50 | ||||||||||
| Kinetic symmetry | / | ||||||||||
| Discovered by | Robert Wainwright | ||||||||||
| Year of discovery | 1982 | ||||||||||
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Heart is a period-5 oscillator that is shown as the sixth pattern in the first row of Jason Summers' main period 5 collection. It was found by Robert Wainwright in January 1982 and independently discovered by David Buckingham on August 15, 1984.[1]
A 15-glider synthesis was discovered by Jason Summers in November 2004[2] for a stator variant[c 1] of this oscillator in which each side is stabilized by two blocks instead of a tub.
A four-fold version of the oscillator appeared semi-naturally in November 2014 in a soup found by Richard Schank.[3] A 10-glider synthesis of this version was found in May 2023.[c 2] Earlier known syntheses of this variant include a 12G synthesis[c 3] and a 14G synthesis[c 4].
| Four hearts (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
A monomerised version later appeared in an asymmetric soup in May 2016.[4] A 13-glider synthesis of this version was found on the same day.[5] A 12-glider synthesis was found at some point later.[c 5]
| The monomer heart that appeared naturally. (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
Copies of the heart may also act as rocks to mutually stabilise an unnamed period-5 rotor at two different phase shifts (though the rotor's minimal form doesn't involve them). All such uses at this orientation may also be achieved by stator components (that don't require the stabilised object's period to be a multiple of 5), the only use for hearts in particular is to increase the volatility.
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Jason Summers' jslife pattern collection. Retrieved on January 5, 2020.
- ↑ Richard Schank (November 27, 2014). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (May 25, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ chris_c (May 25, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- Catagolue
- ↑ xp5_oca71v0rrzdd1dd at Adam P. Goucher's Catagolue
- ↑ shinjuku (#4228488796) (May 4, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ "xp5_oca71v0v17acoztll55o0o55lltz012747074721 costs 12 gliders". Catagolue (May 4, 2023).
- ↑ "xp5_oca71v0v17acoztll55o0o55lltz012747074721 costs 14 gliders". Catagolue (March 17, 2023).
- ↑ "xp5_mlligz36asgv0rr costs 12 gliders". Catagolue (May 4, 2023).
External links
- Heart at Adam P. Goucher's Catagolue
- 4-fold hearts at Adam P. Goucher's Catagolue
- 26P5.3 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Oscillators with 26 cells
- Periodic objects with minimum population 26
- Patterns with 26 cells
- Patterns found by Robert Wainwright
- Patterns found in 1982
- Patterns that can be constructed with 14 gliders
- Patterns that can be constructed with 8 gliders
- Oscillators
- Oscillators with period 5
- Oscillators with mod 5
- Oscillators with heat 8
- Oscillators with volatility 0.50
- Oscillators with strict volatility 0.50
- Oscillators with / symmetry
- Semi-natural periodic objects