Relay: Difference between revisions
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moving table DroneBetter put in Category:Relays to here in mainspace |
DroneBetter (talk | contribs) m add p(28+56*n) 5-glider version of p49 bouncer loop (28 being the minimum possible period, since at 21 they will turn those behind them into blocks while being reflected ()) |
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|(4 gliders)||<tt>{{LinkCatagolue|xp35_04s0gg0s48c4oyagy1g08o69ajk46z5b8mh4f03tt7gl1e8gy0g06511y111ggijaq5kczx146x1qq2u1s53x1irw66wgbb8fgd1b2r453zy08oy1oo01y3101y2113464311zy112308kc04cayakc80ca40ggzy4g8o8gyg66x1074zwg88mhl1c2s5ll2woo01mjy0g8e1ugmmy0o8zwdb8nkjj321011y18o121x35s1a2oefg0s82r4k8zwo8bik5o6413y1311y61169d59e1230e91zy1101|name=35|style=raw}} + 14*n</tt>||380 | |(4 gliders)||<tt>{{LinkCatagolue|xp35_04s0gg0s48c4oyagy1g08o69ajk46z5b8mh4f03tt7gl1e8gy0g06511y111ggijaq5kczx146x1qq2u1s53x1irw66wgbb8fgd1b2r453zy08oy1oo01y3101y2113464311zy112308kc04cayakc80ca40ggzy4g8o8gyg66x1074zwg88mhl1c2s5ll2woo01mjy0g8e1ugmmy0o8zwdb8nkjj321011y18o121x35s1a2oefg0s82r4k8zwo8bik5o6413y1311y61169d59e1230e91zy1101|name=35|style=raw}} + 14*n</tt>||380 | ||
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|(5 gliders)||<tt>{{LinkCatagolue|xp28_04s0gg0s48c4oyagy1g08o6pajk46z5b8ml0b831dhgv1eoy1g06511y111w60aq5kczx146y0rq2u1t6y0123w66wgbb8fhe998r453zy08oy1oo01w8oky06a2y0113212311zy112308kcy1gy7gcowca40ggzy4gg0ggw123y1gy566x1074zwg88m555s3s5ll2woke7313gxoe1ugmmy0o8zwdb8nk1p011011y18o33y16t1u22d0g4k0ar4k8zwo8bik6o6413y1311y61169d59e1230e91zy1101|name=28|style=raw}} + {{LinkCatagolue|xp84_yu4s0gg0s48c4oyagy1g08o6pajk46zyt5b8ml0fc115fkr1eoy1g06511y111w662q5kczyw146y0rq2u1s6y0123w66wgbb8fhca7ar453zyzy41yc113202311zyzy4654ydca40ggzyzyf42ey166x1074zzzymca8zyx84szw8oy1oozx12308kczy2gg0ggy2ko8zg88mlplc2s5ll2woowggy1oe1ugmmy0o8zdb8ngpo011011y18o121y06s1mas9wcs0ar4k8zo8bik6o6413y1311y61169d59e1230e91zx101|name=56|style=raw}}*n</tt>||385 | |||
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Latest revision as of 03:34, 21 April 2024
A relay is an oscillator in which spaceships (typically gliders) travel in a loop. The simplest example is the p60 glider shuttle shown below using two pentadecathlons. Pulling the pentadecathlons further apart allows any period of the form 60 + 120n to be achieved. This is the simplest proof of the existence of oscillators of arbitrarily large period.
| pentadecathlon relay (p60 glider shuttle) (click above to open LifeViewer) RLE: here Plaintext: here |
Table of adjustable relays
Note that for a glider relay supporting periods of the form c1+c0*n, if the following conditions are met:
- gliders are reflected 180º between two ends without offsetting their lane,
- the oscillating components at its ends (when the gliders are removed) have a period divisible by 2 but not 4 (such as unices in the p42 glider shuttle),
then using two copies of the relay, whose gliders reflect off each other in a rephaser, to provide a set of oscillators of the form c2+c0*n, where c2 ≡ c1 + c02 (mod c0)
| relay | periods | population |
|---|---|---|
| Buckaroo loop | 30 + 120*n | 51 |
| p60 glider shuttle | 60 + 120*n | 29 |
| 6 bits | 75 + 120*n | 49 |
| 106P135 | 135 + 120*n | 106 |
| Metamorphosis II | 60 + 360*n | 150 |
| Gallus (34P7 version) | 42 + 56*n | 105 |
| Ocellus | 90 + 24*n | 92 |
| Silverstream[1] | 90 + 120*n | 106 |
| p42 glider shuttle | 42 + 24*n | 143 |
| p50 glider shuttle | 50 + 40*n | 188 if n = 0 else 183 |
| p43 Snark loop | 43 + n | 228 |
| p49 bouncer loop (using the 74-cell variant of the p7 pipsquirter) (1 glider) |
140 + 56*n | 365 |
| (2 gliders) | 70 + 28*n | 370 |
| (4 gliders) | 35 + 14*n | 380 |
| (5 gliders) | 28 + 56*n | 385 |
See also
External links
- Relay at the Life Lexicon
- ↑ Freywa (July 16, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums