Karel's p15
Karel's p15 | |||||||||
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Pattern type | Oscillator | ||||||||
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Number of cells | 28 | ||||||||
Bounding box | 16 × 14 | ||||||||
Period | 15 (mod: 15) | ||||||||
Heat | 34.9 | ||||||||
Volatility | 1.00 | 1.00 | ||||||||
Kinetic symmetry | -e | ||||||||
Discovered by | Karel Suhajda | ||||||||
Year of discovery | 2002 | ||||||||
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Karel's p15 is a period-15 oscillator discovered by Karel Suhajda on December 11, 2002.[1] In this oscillator, a pentadecathlon hassles an unnamed active reaction. A pentadecathlon can support up to 2 Karel's p15s.
It provides accessible sparks that can be used to perturb reactions; the advantage of Karel's p15 over a pentadecathlon is that the pentadecathlon's long end reaches its maximum extent on two separate occasions, while Karel's p15 does only once, allowing its use as a finger. The p15 bouncer mechanism is an example. In the same month of its discovery, Mark Niemiec found an 18-glider synthesis of this oscillator.[2]
This oscillator first appeared semi-naturally in March 2015.[3]
A glider stream with period divisible by 5 but not 15 can be filtered with a Karel's p15 to triple the period.
Period 435 gun shows how this pattern thins out the glider stream and triples the period (click above to open LifeViewer) RLE: here Plaintext: here |
As a catalyst
Karel's p15 can be used to push a beehive with a much smaller footprint than the beehive push catalyst. Even though it is a periodic catalyst, it works in 13 of 15 generations, with the two that fail being consecutive.
A period-345 LCM oscillator. The base reaction is p69. As 69 is a multiple of 3, Karel's p15 can push the beehive back in generations that are multiples of 3, avoiding the two in a row that cause it to fail. No non-LCM completion of this p69 is known. (click above to open LifeViewer) Catagolue: here |
Gallery
Two Karel's p15s hassle blinkers and rephase them (occurred seminaturally in tetramer form in a soup by Charity Engine on 2022-02-13)[4] (click above to open LifeViewer) Catagolue: here |
See also
References
- ↑ Jason Summers' all-osc pattern collection.
- ↑ Jason Summers' jslife pattern collection.
- ↑ Dongook Lee (March 15, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ The tetramer form on Catagolue, the attribute page, the first soup
External links
- Karel's p15 at the Life Lexicon
- Karel's p15 at Adam P. Goucher's Catagolue
- 28P15.3 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Oscillators with 28 cells
- Periodic objects with minimum population 28
- Patterns with 28 cells
- Patterns found by Karel Suhajda
- Patterns found in 2002
- Patterns that can be constructed with 8 gliders
- Outer-totalistically endemic patterns
- Oscillators
- Oscillators with period 15
- Oscillators with mod 15
- Oscillators with heat 34
- Oscillators with volatility 1.00
- Oscillators with strict volatility 1.00
- Oscillators with -e symmetry
- Sparkers
- Sparkers with period 15
- Weak sparkers
- Semi-natural periodic objects