Rectifier: Difference between revisions
In the short list up to 200, prime periods do make up (barely) the majority of prime-period oscillators with rectifiers -- 14 out of 25, if I've counted right. But "high periods" doesn't mean just the list up to 200. Added a "see also" to User:Galoomba/Skopje for a more representative sample. If that longer list is (or can be) maintained by a script, maybe it's a good idea to move it to the main namespace? |
→SKOPs: reworked statement about prime periods, from wildmyron's suggestion at https://conwaylife.com/forums/viewtopic.php?p=180513#p180513 |
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Most prime-period SKOPs are rectifier loops, because there's no way currently known lower-population way to close a loop in a period-independent way. | |||
==See also== | ==See also== | ||
Revision as of 13:29, 18 March 2024
| Rectifier | |||||||||
| View static image | |||||||||
| Pattern type | Stable reflector | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 59 | ||||||||
| Bounding box | 41 × 33 | ||||||||
| Angle | 180° | ||||||||
| Repeat time | 106 | ||||||||
| Discovered by | Adam P. Goucher | ||||||||
| Year of discovery | 2009 | ||||||||
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The rectifier is a stable 180° glider reflector made up of two eater 1s, a block, a beehive, and an eater 3. The normal tub-stabilised eater 3 can be used here to reduce the population, but the snake-stabilised eater 3 has a smaller bounding box. The rectifier is notable for its recovery time of 106 generations and small number of catalysts. It can replace the boojum reflector in a large number of instances, although in some cases it cannot fit into the space provided due to the transparency of the beehive. It has several advantages over the boojum reflector:
- it has a much lower recovery time, allowing certain guns to be compacted;
- its passive bounding box is slightly smaller, so it can further compact many glider guns;
- its output path is free of catalysts, enabling it to be used as a merge device.
The transparent beehive reaction was discovered by Paul Callahan in 1996.
| Rectifier reflecting a p106 glider stream, shown with highlighted reaction envelope. A second rectifier is present outside the frame, forming a loop with five gliders (click above to open LifeViewer) RLE: here Plaintext: here |
Gallery
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An incoming glider (in green) and an outgoing glider (in red) 167 generations later
SKOPs
Rectifier loops comprise the majority of the smallest known oscillators of a certain period for high periods. Here is a list of them up to period 200:
| Period | Number of gliders | Catagolue page | Minimum population |
|---|---|---|---|
| 109 | 10 | link | 156 |
| 121 | 10 | link | 156 |
| 123 | 6 | link | 136 |
| 125 | 10 | link | 156 |
| 131 | 6 | link | 136 |
| 137 | 2 | link | 116 |
| 139 | 6 | link | 136 |
| 149 | 2 | link | 116 |
| 151 | 6 | link | 136 |
| 153 | 2 | link | 116 |
| 157 | 2 | link | 116 |
| 161 | 2 | link | 116 |
| 163 | 6 | link | 136 |
| 167 | 6 | link | 136 |
| 169 | 2 | link | 116 |
| 171 | 6 | link | 136 |
| 173 | 2 | link | 116 |
| 178 | 5 | link | 148 |
| 179 | 6 | link | 136 |
| 181 | 2 | link | 116 |
| 183 | 6 | link | 136 |
| 191 | 6 | link | 136 |
| 193 | 2 | link | 116 |
| 194 | 5 | link | 137 |
| 197 | 2 | link | 116 |
Most prime-period SKOPs are rectifier loops, because there's no way currently known lower-population way to close a loop in a period-independent way.
See also
List of smallest-population known oscillators for periods up to 2048, tracked by the Skopje project
External links
- New stable 180° glider reflector at Game of Life News. Posted by Dave Greene on May 30, 2009.
- Rectifier at the Life Lexicon
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