Traffic light: Difference between revisions
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7 cells → 6 cells; 4 generations earlier |
the "family tree" diagram plus the mention that 2/3 of blinkers form from traffic lights |
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Drawing a single cell in the middle of the traffic light while it is in its "+" phase will eat the whole traffic light, leaving nothing behind. Drawing a cell a knight's move away in the same ("+") phase results in a clean [[fishhook]] instead. | Drawing a single cell in the middle of the traffic light while it is in its "+" phase will eat the whole traffic light, leaving nothing behind. Drawing a cell a knight's move away in the same ("+") phase results in a clean [[fishhook]] instead. | ||
Approximately two thirds of blinkers are formed from traffic lights. | |||
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|viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]] | |viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]] | ||
|caption = Two common evolutionary sequences that result in traffic lights. The one on the top takes 27 generations to complete, while the one on the bottom takes 28. | |caption = Two common evolutionary sequences that result in traffic lights. The one on the top takes 27 generations to complete, while the one on the bottom takes 28. | ||
}} | |||
|{{EmbedViewer | |||
|rle = x = 154, y = 147, rule = B3/S23 | |||
72bo$72bo$72bo2$68b3o3b3o2$72bo$72bo$72bo3$71b3o2$69bo5bo$69bo5bo$69bo | |||
5bo2$71b3o4$72bo$71b3o$70bobobo$69b3ob3o$70bobobo$71b3o$72bo5$71b3o$ | |||
70bo3bo$70bo3bo$70bo3bo$71b3o6$2b2o68bo$b2obo66b3o$2ob2o65b2ob2o$ob2o | |||
67b3o$b2o69bo6$2b2o68bo$bo2bo66bobo$o3bo65bo3bo$o2bo67bobo$b2o69bo6$2b | |||
2o$bo2bo56b3o7b3o77b3o$ob2o57b3o7bobo77b3o$ob2o57b3o7b3o77bobo$bo150bo | |||
6$2b2o58bo9bo79bo$bo2bo47bo9bo9bo69bo9bo$ob2o47b3o8bo8bobo67b3o8bo$obo | |||
47bo3bo7bo9bo69bo8bobo$bo60bo9bo79bo6$2b2o58bo9bo$bo2bo56bobo7bobo$o2b | |||
o137b3o$obo58bo9b3o66bobobo$bo60b2o6$3bo$b2obo66b3o17b3o37b3o$bobo67b | |||
3o17b2o38b2o$obo69bo19b2o38bo$bo131bo6$82bo39bo$12b2o58bo9bo7bo3bo17b | |||
2o8bo$11b2o7b5o46b3o8bo8b3o17b2obo7bo7bobobo$22bo58bobo38b2o$13bo99bo | |||
4$90bo3bo$89bobobobo$42bo47b5o$42bo28bobo17b3o$31b3o6b2ob2o27bo19bo8bo | |||
bobo24bobobo$32bo39bo$32bo4$90b2ob2o$53bo35bo5bo$42bo8bo2bo6bobo8bo17b | |||
o3bo$30bo3bo6bobo47b3o$51b3o7b3o7b3o27bobobo24bobobo$31b3o6b2ob2o5$90b | |||
2ob2o$53bo36b2ob2o$51b3o16bobobo15b2ob2o$41b3o7b3o17b3o18bo$41bobo8bo | |||
19bo57bobobo$40b2ob2o58bo$103bo$102bo$101bo$101b2o$53b2o$70bo3bo$42bo | |||
9bo17bo3bo$42bo8b3o17b3o$41bobo87b2o$41bobo89b4o$41bobo! | |||
|position = left | |||
|viewerconfig = #C [[ ZOOM 2 GPS 1 ]] | |||
|caption = Common formations that result in a traffic light. Patterns in the same row are in the same generation. To follow an evolutionary sequence, start from the bottom and move up; if there is nothing immediately above a pattern (even if there is something farther above), its evolutionary sequence converges with the closest column inward that has a pattern until they all reach the top. The two long sequences in the other LifeViewer window have sets of three dots, indicating skipped generations. Sparks that do not affect evolution are ignored. | |||
}} | }} | ||
|} | |} | ||
Revision as of 13:35, 13 October 2021
| Traffic light | |||||||||
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| Pattern type | Constellation Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 12 | ||||||||
| Bounding box | 9 × 9 | ||||||||
| Period | 2 (mod: 2) | ||||||||
| Heat | 16 | ||||||||
| Volatility | 0.80 | 0.80 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Discovered by | JHC group | ||||||||
| Year of discovery | 1970 | ||||||||
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The traffic light is a common formation of four blinkers and is the most common member of the familiar fours, also being the only one made from oscillators. A common predecessor is the T-tetromino. Although it behaves the same in some important non-standard rules such as HighLife as it does in standard Life, it does not appear nearly as frequently in many of those rules due to its common predecessors being unstable.[1]
Drawing a single cell in the middle of the traffic light while it is in its "+" phase will eat the whole traffic light, leaving nothing behind. Drawing a cell a knight's move away in the same ("+") phase results in a clean fishhook instead.
Approximately two thirds of blinkers are formed from traffic lights.
Two common evolutionary sequences that result in traffic lights. The one on the top takes 27 generations to complete, while the one on the bottom takes 28. (click above to open LifeViewer) |
Common formations that result in a traffic light. Patterns in the same row are in the same generation. To follow an evolutionary sequence, start from the bottom and move up; if there is nothing immediately above a pattern (even if there is something farther above), its evolutionary sequence converges with the closest column inward that has a pattern until they all reach the top. The two long sequences in the other LifeViewer window have sets of three dots, indicating skipped generations. Sparks that do not affect evolution are ignored. (click above to open LifeViewer) |
See also
References
- ↑ HighLife - An Interesting Variant of Life by David Bell (.zip file)
External links
- Traffic light at the Life Lexicon
- Traffic light at Adam P. Goucher's Catagolue (pseudo-object)
Categories:
- Patterns
- Oscillators with 12 cells
- Periodic objects with minimum population 12
- Patterns with 12 cells
- Patterns found by JHC group
- Patterns found in 1970
- Patterns that can be constructed with 2 gliders
- Oscillators
- Constellations
- Constellations with 12 cells
- Oscillators with period 2
- Oscillators with mod 2
- Oscillators with heat 16
- Oscillators with volatility 0.80
- Oscillators with strict volatility 0.80
- Patterns with complete square symmetry