Difference between revisions of "Doppler effect"
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The net contraction is 1/3 - 1/4 = 1/12, i.e., 1/3 the rate of the crab and 1/4 the rate of the fuse. The crab and fuse will get one cell closer every 12 generations. As the crab is period 4 and the fuse is period 3, they'll both match phase every 12 generations. Because both numbers are 12, this means that what happens when the fuse hits the crab is independent of timing, and it will always be the same (in this case, the crab survives while the fuse becomes an [[E-heptomino]] relative). | The net contraction is 1/3 - 1/4 = 1/12, i.e., 1/3 the rate of the crab and 1/4 the rate of the fuse. The crab and fuse will get one cell closer every 12 generations. As the crab is period 4 and the fuse is period 3, they'll both match phase every 12 generations. Because both numbers are 12, this means that what happens when the fuse hits the crab is independent of timing, and it will always be the same (in this case, the crab survives while the fuse becomes an [[E-heptomino]] relative). | ||
Another example is gliders being reflected by a [[2-engine Cordership]]; in the viewer below, the glider stream period is 64 toward the Cordership and 128 away from the Cordership.<ref name="post219469"/> | |||
{{EmbedViewer | |||
|rle = x = 153, y = 121, rule = B3/S23 | |||
18bo$18bo$18bo8bo$25bobo$19b3obbo3bo$20bob5o$26bo$21boo15boo$38boo5$4b | |||
3o$bb7o6bo$b9o4bo31boo$o7b3obboo31boo$b3o6bo3bobbo$bboo11b3o$5bo10bo | |||
23bo$6bo31bo4bo$7bo29bo5bo$43bo10b3o$38bobbo12bo$39b3o13bo$33bo$31b4o$ | |||
30b3oboobo$30boobbo$24bo5bo4bobbo$20bo4bo5bo3boobo$11boboo5bo3boo5bo$ | |||
5boo4bo$5boo6bo5bo6boo$18b3ob7o$18booboo5bo$25boo$28bo$25bobbo41b3o$ | |||
26bo43bo$13boo56bo$13boo13$86b3o$86bo$87bo14$102b3o$102bo$103bo14$118b | |||
3o$118bo$119bo14$134b3o$134bo$135bo14$150b3o$150bo$151bo! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 16 THUMBSIZE 2 ]] | |||
}} | |||
==References== | |||
<references> | |||
<ref name="post219469">{{LinkForumThread | |||
|format = ref | |||
|author = David Bell | |||
|date = October 9, 2025 | |||
|p = 219469 | |||
|title = Re: Suggested LifeWiki edits | |||
}}</ref> | |||
</references> | |||
==External links== | ==External links== | ||
* {{LinkWikipedia|Doppler_effect}} (name origin) | * {{LinkWikipedia|Doppler_effect}} (name origin) | ||
Latest revision as of 12:35, 10 October 2025
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In the context of Life and other cellular automata, Doppler effect refers to several[which?] phenomena regarding the relative motion of two objects, moving with different velocities.
In Conway's Game of Life
An example of how the Doppler effect applies to Life is in this viewer below, where a crabstretcher moves forward at c/4, while the fuse behind burns at c/3.
| (click above to open LifeViewer) |
The net contraction is 1/3 - 1/4 = 1/12, i.e., 1/3 the rate of the crab and 1/4 the rate of the fuse. The crab and fuse will get one cell closer every 12 generations. As the crab is period 4 and the fuse is period 3, they'll both match phase every 12 generations. Because both numbers are 12, this means that what happens when the fuse hits the crab is independent of timing, and it will always be the same (in this case, the crab survives while the fuse becomes an E-heptomino relative).
Another example is gliders being reflected by a 2-engine Cordership; in the viewer below, the glider stream period is 64 toward the Cordership and 128 away from the Cordership.[1]
| (click above to open LifeViewer) |
References
- ↑ David Bell (October 9, 2025). Re: Suggested LifeWiki edits (discussion thread) at the ConwayLife.com forums
External links
- Doppler effect at Wikipedia (name origin)