Difference between revisions of "Category:Relays"
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A '''[[relay]]''' is an [[oscillator]] in which [[spaceship]]s (typically [[glider]]s) travel in a loop. It is a subset of [[shuttle]]s. | A '''[[relay]]''' is an [[oscillator]] in which [[spaceship]]s (typically [[glider]]s) travel in a loop. It is a subset of [[shuttle]]s. | ||
==Table of adjustable relays== | |||
Note that for a glider relay supporting periods of the form <tt>c<sub>1</sub>+c<sub>0</sub>*n</tt>, 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 <tt>2</tt> but not <tt>4</tt> (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 <tt>c<sub>2</sub>+c<sub>0</sub>*n</tt>, where <tt>c<sub>2</sub> ≡ c<sub>1</sub> + {{frac|c<sub>0</sub>|2}} ([[Modular congruence|mod]] c<sub>0</sub>)</tt> | |||
{|class="wikitable" style="text-align: center" | |||
!relay!!periods!!population | |||
|- | |||
|[[Buckaroo]] loop||<tt>{{LinkCatagolue|xp30_ggy0g8gcy5c871z11x1243czyc742g0ozy8g8ow2587oy666zy723|name=30|style=raw}} + 120*n</tt>||51 | |||
|- | |||
|[[p60 glider shuttle]]||<tt>60 + 120*n</tt>||29 | |||
|- | |||
|[[6 bits]]||<tt>75 + 120*n</tt>||49 | |||
|- | |||
|[[106P135]]||<tt>135 + 120*n</tt>||106 | |||
|- | |||
|[[Metamorphosis II]]||<tt>60 + 360*n</tt>||150 | |||
|- | |||
|[[Gallus]] ([[34P7]] version)||<tt>{{LinkCatagolue|xp42_33j71t8ggz678u0h43108k8xcczx223333y184swccwcczx66w66y6oooo88zy666x2520go4h0f2sczyf112ngspoo|name=42|style=raw}} + 56*n</tt>||105 | |||
|- | |||
|[[Ocellus]]||<tt>90 + 24*n</tt>||92 | |||
|- | |||
|[[Silverstream]]<ref>{{LinkForumThread|format=ref|f=2|t=1437|p=133626|title=Re: Oscillator Discussion Thread|author=Freywa|date=July 16, 2021}}</ref>||<tt>90 + 120*n</tt>||106 | |||
|- | |||
|[[p42 glider shuttle]]||<tt>42 + 24*n</tt>||143 | |||
|- | |||
|[[p50 glider shuttle]]||<tt>50 + 40*n</tt>||<tt>188 if n = 0 else {{LinkCatagolue|xp90_y535asgs4cw4a4x4a4zggxow111w4ac673y1j11d92s0g8gz12lms1g8gya3452w23whzwj20ce710gydosc0hi1z01210gg01ryd3520eqbgz02520fg4c01i20261goock8y37w123zy319l91w8k811c8e2ek9h1zyl11|name=183|style=raw}}</tt> | |||
|- | |||
|[[p43 Snark loop]]||<tt>43 + n</tt>||228 | |||
|- | |||
|[[p49 bouncer loop]]<br />(using the {{LinkCatagolue|xp7_oe1ugmmy0o8z6s1mas9wcs0ar4k8zw1169d59e1230e91|name=74-cell variant|style=raw}} of the [[p7 pipsquirter]])<br />(1 glider)||<tt>{{LinkCatagolue|xp140_04s0gg0s48c4oyagy1g08o6pajk46z5b8ml0fc115fkr1eoy1g06511y111w662q5kczx146y0rq2u1s6y0123w66wgbb8fhca7ar453zy08oy1oo01yc11j2g2311zy112308kcyeepxq40ggzy4gg0ggyf346x1074zwg88mlplc2s5ll2woowggy1oe1ugmmy0o8zwdb8ngpo011011y18o121y06s1mas9wcs0ar4k8zwo8bik6o6413y1311y61169d59e1230e91zy1101|name=140|style=raw}} + 56*n</tt>||365 | |||
|- | |||
|(2 gliders)||<tt>{{LinkCatagolue|xp70_04s0gg0s48c4oyagy1g08o6pajk46z5b8ml0fc115fkr1eoy1g06511y111w662q5kczx146y0rq2u1s6y0123w66wgbb8fhca7ar453zy08oy1o8g1yc11j2g2311zy112308mw16syaepxq40ggzy4gg2gi01yd346x1074zwg88mlplc2s5ll2woowggy1oe1ugmmy0o8zwdb8ngpo011011y18o121y06s1mas9wcs0ar4k8zwo8bik6o6413y1311y61169d59e1230e91zy1101|name=70|style=raw}} + 28*n</tt>||370 | |||
|- | |||
|(4 gliders)||<tt>{{LinkCatagolue|xp35_04s0gg0s48c4oyagy1g08o69ajk46z5b8mh4f03tt7gl1e8gy0g06511y111ggijaq5kczx146x1qq2u1s53x1irw66wgbb8fgd1b2r453zy08oy1oo01y3101y2113464311zy112308kc04cayakc80ca40ggzy4g8o8gyg66x1074zwg88mhl1c2s5ll2woo01mjy0g8e1ugmmy0o8zwdb8nkjj321011y18o121x35s1a2oefg0s82r4k8zwo8bik5o6413y1311y61169d59e1230e91zy1101|name=35|style=raw}} + 14*n</tt>||380 | |||
|} | |||
==References== | |||
<references /> | |||
[[Category:Pattern categories]] | [[Category:Pattern categories]] | ||
Revision as of 01:45, 19 April 2024
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A relay is an oscillator in which spaceships (typically gliders) travel in a loop. It is a subset of shuttles.
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 |
References
- ↑ Freywa (July 16, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
Pages in category "Relays"
The following 14 pages are in this category, out of 14 total.