p76 pi-heptomino hassler
| p76 pi-heptomino hassler | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 57 | ||||||||
| Bounding box | 28 × 28 | ||||||||
| Period | 76 (mod: 76) | ||||||||
| Heat | 52.4 | ||||||||
| Volatility | 0.91 | 0.81 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Discovered by | David Raucci | ||||||||
| Year of discovery | 2021 | ||||||||
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- Not to be confused with p76 pi-heptomino shuttle.
- Alternatively, for other p76 pi-heptomino hasslers, see pi-heptomino hassler#p76.
p76 pi-heptomino hassler is a small period-76 oscillator found by David Raucci on April 11, 2021. It was originally found in the rotationally symmetric form of two pi heptominoes supported by heavyweight emulator variants;[1] this form with a standard heavyweight emulator has 82 cells. A monomer form supported by a p4 oscillator was found later the same day by James Pascua,[2] and was then improved by Matthias Merzenich[3]; this is the form with the minimum bounding box at 28 × 28. On December 18, cvojan discovered that the oscillator could be stabilized by the traffic stop; this is the form shown in the infobox, with the same bounding box but an even smaller population of 57 cells. It was formerly the smallest-known period-76 oscillator,[4] until the discovery of mold on 44P38 in 2022, which was further superseded by p76 pi-heptomino shuttle.
In its dual form, the bottom pi heptomino and associated heavyweight emulator can be moved one or two cells to the right, and the oscillator will still work.
On October 16, 2021, Raucci discovered that two of these oscillators could be used to create a p152 loaf hassler.[5]
Gallery
| The early dimer form with 82 cells (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
| The monomer in its former smallest form by bounding box (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
LCM oscillators
The LCM oscillators below are listed due to being the smallest known ones by population while satisfying the condition that at least one cell oscillates at the full period.[6]
| 91P532 with 34P14 shuttle (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
| 83P760 with Beluchenko's p40 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
| 90P836 with rattlesnake (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
| 91P988 with Beluchenko's p13 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
| 105P2356 with Merzenich's p31 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
See also
References
- ↑ David Raucci (April 11, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ James Pascua (April 11, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (April 11, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ cvojan (December 18, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ David Raucci (October 16, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Skopje repository (July 22, 2023)
External links
- Patterns
- Oscillators with 57 cells
- Periodic objects with minimum population 57
- Patterns with 57 cells
- Patterns found by David Raucci
- Patterns found in 2021
- Patterns that can be constructed with 26 gliders
- Outer-totalistically endemic patterns
- Oscillators
- Oscillators with period 76
- Oscillators with mod 76
- Oscillators with heat 52
- Oscillators with volatility 0.91
- Oscillators with strict volatility 0.81
- Patterns with 180-degree rotation symmetry
- Sparkers
- Sparkers with period 76
- Obo sparkers
- Strong sparkers
- Pi-heptomino hasslers