I think I don't understand the question. The T = 0 pattern is trivially rewindable to infinity, because you just move the glider backwards. So the T = 200 pattern is also rewindable to infinity, because you just follow back its history until you reach the first pattern.confocaloid wrote: ↑April 1st, 2023, 6:56 pmThe pattern above displays two different generations (T = 0 on the left, T = 200 on the right) of a single well-known pattern.Code: Select all
x = 117, y = 50, rule = B3/S23 29bob2o27bo48bob2o$29b2obo76b2obo$60bo$27b5o75b5o$27bo4bo2b2o23bo46bo 4bo2b2o$30bo2bo2bo73bo2bo2bo$30b2obobo24bo49b2obobo$27bo5bob2o70bo5bob 2o$26bobo4bo26bo45bobo4bo$26bo2bo2b2o72bo2bo2b2o$27b2o31bo46b2o2$60bo 2$60bo2$60bo2$60bo$19b2o78b2o$19b2o39bo38b2o2$60bo2$60bo2$60bo2$5b2o 22b2o29bo24b2o22b2o$4bo2bo21bo54bo2bo21bo$5b2o23b3o27bo24b2o23b3o$32bo 79bo$60bo2$60bo2$60bo$22b2o78b2o$22bo37bo41bo$23b3o77b3o$b2o22bo34bo 44bo$obo$2bo57bo2$60bo2$60bo$83bobo$60bo22b2o$84bo!
(The pattern is the rectifier, a 180-degree reflector with the output glider on a transparent lane.)
The pattern below is an unmodified copy of the generation T = 200.
Questions:(For each question: If "yes", how? If "no", why?)
- (Q1) Is it possible to rewind the pattern shown below for 20 ticks?
- (Q2) Is it possible to rewind the pattern shown below for 200 ticks?
- (Q3) Is the pattern shown below rewindable to infinity?
Code: Select all
x = 34, y = 50, rule = B3/S23 26bob2o$26b2obo2$24b5o$24bo4bo2b2o$27bo2bo2bo$27b2obobo$24bo5bob2o$23b obo4bo$23bo2bo2b2o$24b2o9$16b2o$16b2o8$2b2o22b2o$bo2bo21bo$2b2o23b3o$ 29bo6$19b2o$19bo$20b3o$22bo7$obo$2o$bo!
Thread for basic questions
Re: Thread for basic questions
- confocaloid
- Posts: 3121
- Joined: February 8th, 2022, 3:15 pm
Re: Thread for basic questions
Well, my question is about the meaning of "rewind" in phrases like "to rewind a pattern" or "the pattern is (not) rewindable". Sorry if the question was unclear -- I tried to avoid stating my own opinion beforehand, and wanted to ask using a concrete example of a pattern.Macbi wrote: ↑April 2nd, 2023, 3:54 amI think I don't understand the question. The T = 0 pattern is trivially rewindable to infinity, because you just move the glider backwards. So the T = 200 pattern is also rewindable to infinity, because you just follow back its history until you reach the first pattern.
Yes, of course it is possible to just follow back the history of a pattern. However, the same pattern T = 200 could also be reached in a completely different "plausible" way, thanks to the transparent output of the rectifier:
Code: Select all
x = 113, y = 53, rule = B3/S23
49bobo$49b2o$50bo$25bob2o27bo48bob2o$25b2obo76b2obo$56bo$23b5o75b5o$
23bo4bo2b2o23bo46bo4bo2b2o$26bo2bo2bo73bo2bo2bo$26b2obobo24bo49b2obobo
$23bo5bob2o70bo5bob2o$22bobo4bo26bo45bobo4bo$22bo2bo2b2o72bo2bo2b2o$
23b2o31bo46b2o2$56bo2$56bo2$56bo2$56bo$15b2o78b2o$15b2o39bo38b2o2$56bo
2$56bo2$56bo2$b2o22b2o29bo24b2o22b2o$o2bo21bo54bo2bo21bo$b2o23b3o27bo
24b2o23b3o$28bo79bo$56bo2$56bo2$56bo$18b2o78b2o$18bo37bo41bo$19b3o77b
3o$21bo34bo44bo2$56bo2$56bo2$56bo$79bobo$56bo22b2o$80bo!
(Maybe a better example pattern would be a completely symmetric merge device, with the output along the axis of symmetry and one input on each side of the axis of symmetry. In this case, there would be two "geometrically equivalent plausible histories", without any "natural" way to prefer one of them.)
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
Re: Thread for basic questions
Ah I see. I was thinking of 'rewindable' in the context of things like Gardens of Eden and the Grandfather problem, where the question is whether the pattern has any predecessors at all. Whereas you were thinking in the context of things like glider syntheses, where the question is whether gliders could fly into that position without bumping into each other. I agree the the second notion is less well defined, except perhaps in the case when the pattern consists only of gliders.
I wonder if there is a glider synthesis where the gliders collide, but eventually end up where they would have been if they passed through each other (with no delay).
I wonder if there is a glider synthesis where the gliders collide, but eventually end up where they would have been if they passed through each other (with no delay).
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- Posts: 1318
- Joined: January 28th, 2022, 7:18 pm
- Location: Planet Z
Re: Thread for basic questions
Can someone please find a way to reset the hives?
AlbertArmStain wrote: ↑March 30th, 2023, 4:59 pmHere's the 4-16 line decoder (I'm not going to fill in all the possible combinations)Is there something smaller?Code: Select all
x = 2839, y = 2413, rule = LifeHistory 196.2A$195.A.A$189.2A4.A$187.A2.A2.2A.4A$187.2A.A.A.A.A2.A$190.A.A.A. A$190.A.A.2A$191.A2$204.2A$195.2A7.A$195.2A5.A.A$202.2A7$192.2A$193.A $190.3A$190.A$210.2A$210.2A3$201.2A$201.A.A$202.2A$198.2A$197.A.A$197. A$196.2A2$203.2A$203.2A3$226.2A$226.2A3$217.2A$206.2A9.A.A$207.A10.2A $204.3A7.2A$204.A8.A.A$213.A$212.2A2$219.2A$219.2A3$242.2A$242.2A3$233. 2A$222.2A9.A.A$223.A10.2A$220.3A7.2A$220.A8.A.A$229.A$228.2A2$235.2A$ 235.2A3$258.2A$258.2A3$249.2A$238.2A9.A.A$239.A10.2A$236.3A7.2A$236.A 8.A.A$245.A$244.2A2$251.2A$251.2A7$284.2A$254.2A28.A$255.A30.A$252.3A 11.2A14.5A$252.A14.A13.A$267.A.A12.3A$268.2A15.A$282.4A$277.2A3.A3.2A $277.2A4.3A2.A$285.A.2A$285.A$284.2A3$276.2A$276.A$277.3A$279.A15$320. 2A$319.A.A$313.2A4.A$311.A2.A2.2A.4A$311.2A.A.A.A.A2.A$314.A.A.A.A$314. 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EDIT:
Filled them in anyway:Code: Select all
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A2.A4.48B14.4B50.5B$2339.A.2A5.6B3.B2.2B2.33B12.4B50.5B$2339.A7.6B13. 4B2.7B2.16B11.4B50.5B$2338.2A6.9B17.6B3.16B10.4B50.5B$2345.4B4.2A19.3B 5.14B10.4B50.5B$2344.4B5.A21.B4.3B.9B12.4B51.4B$2343.4B7.3A23.2A3.8B11. 4B52.3B$2342.4B10.A24.A6.4B11.4B53.2B$2341.4B33.3A5.4B12.4B54.B$2340. 4B34.A7.2A13.4B$2339.4B44.A12.4B$2338.4B42.3A12.4B$2337.4B43.A13.4B$2336. 4B57.4B$2335.4B57.4B$2334.4B57.4B$2333.4B57.4B$2332.4B57.4B$2331.4B57. 4B$2330.4B57.4B35.A9.A$2329.4B57.4B36.3A5.3A$2328.4B57.4B40.A3.A$2327. 4B57.4B40.2A.B.2A3.B$2326.4B57.4B36.A4.7B2.2B$2325.4B57.4B37.3A4.3B3. 3B$2324.4B57.4B41.A2.11B$2323.4B57.4B41.2A2.10B$2322.4B57.4B42.3B.9B$ 2321.4B57.4B45.11B$2320.4B57.4B45.12B$2319.4B57.4B46.10B.B2A$2318.4B57. 4B48.8B2.BA.A$2317.4B57.4B48.8B6.A$2316.4B57.4B50.8B5.2A$2315.4B57.4B 50.9B$2314.4B57.4B50.11B$2313.4B57.4B50.12B$2312.4B57.4B51.12B$2311.4B 57.4B51.12B$2310.4B57.4B51.3B3D4B.4B$2309.4B57.4B51.5BD4B4.2A$2308.4B 57.4B51.6B3D2B4.A$2307.4B57.4B51.4B.6B6.3A$2306.4B57.4B51.4B.7B8.A$2305. 4B57.4B51.4B.8B$2304.4B57.4B51.4B.8B$2303.4B57.4B51.4B.9B$2302.4B57.4B 51.4B.4B.6B$2301.4B57.4B51.4B.4B.7B$2300.4B57.4B51.4B.4B2.6B$2299.4B57. 4B51.4B.4B3.6B$2298.4B57.4B51.4B.4B4.6B$2297.4B57.4B51.4B.4B4.8B$2296. 4B57.4B51.4B.4B6.8B$2295.4B57.4B51.4B.4B6.9B$2294.4B57.4B51.4B.4B7.9B $2293.4B57.4B51.4B.4B8.10B$2292.4B57.4B51.4B.4B9.5B2A3B$2291.4B57.4B51. 4B.4B10.5B2A4B3.2A$2290.4B57.4B51.4B.4B11.11B3.A$2289.4B57.4B51.4B.4B 12.4BD7BA.A$2288.4B57.4B51.4B.4B15.B3D4B2.2A4.2A$2287.4B57.4B51.4B.4B 10.2A4.D2B2D2B9.A$2286.4B57.4B51.4B.4B12.A4.6B7.BA.A$2285.4B57.4B51.4B .4B13.A.AB.6B3.3B.B2A13.2A$2284.4B57.4B51.4B.4B15.2AB.14B14.B2AB$2283. 4B57.4B51.4B.4B18.16B15.2B$2282.4B57.4B51.4B.4B20.14B17.2B3.B$2281.4B 57.4B51.4B.4B20.16B15.4B.B2A$2280.4B57.4B51.4B.4B21.18B11.8B2A$2279.4B 57.4B51.4B.4B23.20B2.2B2.6B2AB.B$2278.4B57.4B51.4B.4B25.15BD15B2A$2277. 4B57.4B51.4B3.2B3.B23.7B.4BDBD17B$2276.4B57.4B51.4B4.3B.B2A22.6B2.4B3D 21B$2275.4B57.4B51.4B6.A3B2A21.6B3.4BD23B$2274.4B57.4B51.4B6.A.AB.B22. 4B6.26B2A$2273.4B57.4B51.4B6.A.AB25.2B2AB12.4B.14B2A$2272.4B57.4B51.4B 7.A26.2AB.2A14.4B2.11B.B$2271.4B57.4B51.4B7.2A25.A.AB18.4B2.10B$2270. 4B57.4B51.4B35.A22.14B$2269.4B57.4B51.4B35.2A23.14B$2268.4B57.4B51.4B 61.13B$2267.4B57.4B51.4B62.13B$2266.4B57.4B51.4B63.B3D4B.2B$2265.4B57. 4B51.4B64.2BD5B$2264.4B32.2A23.4B51.4B65.2B3D4B$2263.4B34.A22.4B51.4B 66.10B$2262.4B35.A.AB18.4B51.4B66.7B.4B$2261.4B37.2AB.2A14.4B19.A31.4B 66.8B2.4B$2260.4B40.2B2AB12.4B.3B.B12.3A15.A9.A4.4B66.8B4.4B$2259.4B41. 4B6.18B10.A18.3A5.3A3.4B67.8B5.4B$2258.4B42.6B3.4BD11B2A2B5.B3.2A20.A 3.A5.4B66.2AB2.6B5.4B$2257.4B44.6B2.4B3D9B2A2B3.8B19.2A.B.2A3.4B66.A. AB.7B6.4B$2256.4B45.7B.4BDBD13B.8B21.7B2.4B67.A4.6B8.4B$2255.4B45.15B D22B23.3B3.4B67.2A4.8B4.B2.5B$2254.4B45.20B2.2B.15B21.5B.4B75.B2A6B.11B $2253.4B45.18B8.17B19.9B75.2B2A17B2A$2252.4B46.16B11.19B2.2B3.2B6.9B77. 18B.B2A$2251.4B48.14B12.15BD26B79.17B2.B$2250.4B48.16B12.7B.4BDBD25B83. 13B$2249.4B47.2AB.14B11.13B3D9B2A14B82.12B$2248.4B47.A.AB.6B3.3B.B2A8. 14BD11B2A16B80.10B$2247.4B48.A4.6B7.BA.A8.8B2.27B2A4B79.11B$2246.4B48. 2A4.D2B2D2B9.A8.6B11.4B.3B.2B.7BA2BA4B78.7B.2B$2245.4B55.B3D4B2.2A4.2A 8.5B12.4B6.4B.B.2B2AB2.B2A76.11B$2244.4B54.4BD7BA.A13.4B14.4B4.4B4.5B 2.BA.A76.11B$2243.4B55.11B3.A14.3B15.4B2.4B7.2B6.A76.11B$2242.4B56.5B 2A4B3.2A11.4B17.8B6.4B6.2A75.11B$2241.4B57.5B2A3B17.2A20.6B7.2A83.2AB 2.4B3DB$2240.4B58.10B18.A21.4B9.A82.A.AB3.4BD2B$2239.4B59.9B16.3A21.6B 5.3A83.A6.2B3D2B$2238.4B60.9B16.A22.8B4.A84.2A7.6B$2237.4B62.8B38.4B2. 4B97.7B$2236.4B62.8B38.4B4.4B96.8B$2235.4B64.6B38.4B6.4B96.8B$2234.4B 59.2A4.6B37.4B8.4B95.8B$2233.4B61.A4.6B36.4B10.4B93.6B2.B2A$2232.4B62. A.AB.7B34.4B12.4B77.A14.7B.BA.A$2231.4B64.2AB2.6B33.4B14.4B76.3A13.6B 4.A$2230.4B67.8B33.4B16.4B78.A5.B4.8B4.2A$2229.4B68.8B32.4B18.4B76.2A 3.4B.6B2AB$2228.4B70.8B30.4B20.4B75.16B2A2B$2303.7B8.A20.4B22.4B76.17B $2304.6B6.3A19.4B24.4B74.17B$2304.2B3D2B4.A21.4B26.4B74.13B$2304.2BD4B 4.2A19.4B28.4B75.12B$2304.B3D4B.4B18.4B30.4B76.10B$2304.11B19.4B32.4B 75.11B$2304.12B17.4B34.4B75.2B.7B$2304.12B16.4B36.4B74.11B$2305.11B15. 4B38.4B72.11B$2308.9B13.4B40.4B71.11B$2307.10B.2B9.4B42.4B70.11B$2296. 3B4.B.16B7.4B44.4B69.B3D4B2.B2A$2296.28B3.4B46.4B68.2BD4B3.BA.A$2295. 2A33B48.4B67.2B3D2B6.A$2295.2A32B50.4B66.6B7.2A$2296.B.30B52.4B64.7B$ 2298.29B54.4B62.8B$2300.25B57.4B60.8B$2301.B5.17B59.4B58.9B$2310.14B60. 4B56.4B.6B$2310.14B61.4B54.4B.7B$2311.2B4.3B66.4B52.4B2.6B$2310.2B6.B 68.4B50.4B3.6B$2309.B2AB75.4B48.4B4.6B$2310.2A77.4B46.4B4.8B$2390.4B44. 4B6.8B$2391.4B42.4B6.9B$2392.4B40.4B7.9B$2393.4B38.4B8.10B$2394.4B36. 4B9.5B2A3B$2395.4B34.4B10.5B2A4B3.2A$2396.4B32.4B11.11B3.A$2397.4B30. 4B12.4BD7BA.A$2398.4B28.4B15.B3D4B2.2A$2399.4B26.4B16.D2B2D2B$2400.4B 24.4B17.6B$2401.4B22.4B14.2A2.6B$2402.4B20.4B14.A.A9B$2403.4B18.4B15. A3.9B$2404.4B16.4B15.2A3.9B$2405.4B15.3B21.9B$2406.4B12.4B22.9B$2407. 4B11.2A23.11B$2408.4B11.A23.11B$2409.4B7.3A24.12B$2410.4B5.A21.B4.14B $2411.4B4.2A19.3B3.10B.4B$2404.2A6.9B17.6B2.15B$2405.A7.6B13.4B2.7B.13B .B2A$2405.A.2A5.6B3.B2.2B2.29B.BA.A$2406.A2.A4.45B4.A$2407.2AB3.46B4. 2A$2408.14B2A13B2A21B$2409.13B2A13B2A21B$2410.51B$2410.17B.B5.26B$2411. 15B10.B2.20B$2411.15B12.20B.B.B$2412.13B12.24B2A$2414.13B10.24B2A$2413. 8B4.2A.A6.2AB2.5B2.12B.2B$2413.6B6.2AB3A3.A.AB2.4B3.13B$2413.5B8.B4.A 2.A14.11B.B$2413.B.B9.2A.3A2.2A14.12B2A$2414.3B9.A.A20.10B.B2A$2413.B 2AB9.A.A18.2AB.6B4.B$2414.2A11.A18.A.AB.4B$2446.A5.5B$2445.2A8.2A$2455. A$2456.3A$2458.A!
Re: Thread for basic questions
It's hard to tell what you need here. Would a switchable gun work? Turn it on, wait until the first glider gets through the beehives, then use that glider to switch off the gun?
Where is the "reset the beehives" signal coming from?
Are there any timing constraints on how fast the reset has to be completed?
-
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Re: Thread for basic questions
No longer matters because I fixed it.dvgrn wrote: ↑April 4th, 2023, 9:52 amIt's hard to tell what you need here. Would a switchable gun work? Turn it on, wait until the first glider gets through the beehives, then use that glider to switch off the gun?
Where is the "reset the beehives" signal coming from?
Are there any timing constraints on how fast the reset has to be completed?
Does anybody know how to complete the final step?
Code: Select all
x = 183, y = 73, rule = LifeHistory
77.A$76.A$76.3A7$72.A$62.A7.2A108.A$62.A.A6.2A106.A$62.2A115.3A3$172.
3A$170.A4.2A$57.A111.A.A.A$56.A112.A.A.A2.A$56.3A111.2A.3A$170.4A$2.A
3.A173.2A$A.A4.2A170.A$.2A3.2A174.A$53.2A108.A14.2A2.A$11.A41.2A91.C.
C28.2A.A.A$12.2A132.CD.C12.A13.3A.2A$11.2A135.D2C6.2A3.A14.4A$146.DC3.
A9.3A.3A10.2A$146.D.C.3A$56.2A96.2A7.A4.A$37.2A16.2A91.5A3.A4.A5.2A$37.
2A18.A8.3A84.A3.A5.4A$43.2A21.A83.2A5.A5.A$32.A10.A.A21.A80.4A4.2A3.2A
8.2A$30.5A5.2A.A.A102.A6.A15.A.A$29.A5.A3.A2.A.A110.A15.A$29.7A4.A2.A
$36.2A3.2A3.3A$31.2A2.A2.A116.2A$31.2A3.A.A115.A2.5A$35.2A.2A114.A2.3A
$152.5A3.A$152.A.3A$152.A.A$36.2A116.3A$35.A2.A$35.A2.A114.2A$36.2A115.
2A$152.A2.A$154.A2$9.3A$11.A$10.A2$68.2A$68.A.A$68.A2$12.A$12.2A$11.A
.A42.3A$56.A$17.A39.A$17.2A$16.A.A32.2A$51.A.A$51.A2$18.2A$17.A.A$19.
A!
Re: Thread for basic questions
Is there a name for the pattern arising from this?
Code: Select all
x = 6, y = 8, rule = B3/S23
3b3o5$3o$2bo$bo!
777
I CAN APGSEARCH NOW!
Sure, I was a bad person, but I have changed myself.
I'd love to befriend anybody who's interested.
Have a good day!
BokaBB
I CAN APGSEARCH NOW!
Sure, I was a bad person, but I have changed myself.
I'd love to befriend anybody who's interested.
Have a good day!
BokaBB
Re: Thread for basic questions
Yes, that's the blonk-tie.BokaBB wrote: ↑April 7th, 2023, 10:18 amIs there a name for the pattern arising from this?Code: Select all
x = 6, y = 8, rule = B3/S23 3b3o5$3o$2bo$bo!
User:HotdogPi/My discoveries
Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,44,47,48,54,56,72,74,80,92,96S
217,486,576
S: SKOP
G: gun
Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,44,47,48,54,56,72,74,80,92,96S
217,486,576
S: SKOP
G: gun
Re: Thread for basic questions
Is there a "space unfiller"? (e.g. a pattern which, when put into an infinite plane of zebra stripes, will cleanly expand a region of vacuum at its center?) I think the 2c/3 ends of it would be the only nontrivial parts...
Re: Thread for basic questions
At least a few of these are known. You got the name almost exactly right -- space nonfiller -- though the person who invented the name (Jason Summers) was a little nonplussed that a phrase intended as a description turned into the standard name for that type of object.
-- Hey, the relevant message was written exactly 24 years ago:
I remember that another couple of types of space nonfiller that has showed up since. There's this one, based on oblique antstretchers, from 2011. And I seem to recall there was a relatively new one based on knightships, though I can't seem to find the link offhand.On 15 April 1999, Jason Summers wrote:Did anyone ever give a name to the above then-hypothetical object (or even that type of object)? I do not have any name in mind. I don't necessarily think the combined diamond-shaped object needs a name, but I do not wish it to be called "space nonfiller" -- that was just a description.
- confocaloid
- Posts: 3121
- Joined: February 8th, 2022, 3:15 pm
Re: Thread for basic questions
If I understand correctly, a space nonfiller starts as a finite-population pattern, surrounded by empty space in all directions -- while a "space unfiller" from the question would be an infinite-population pattern from the beginning.dvgrn wrote: ↑April 15th, 2023, 4:43 pmAt least a few of these are known. You got the name almost exactly right -- space nonfiller -- though the person who invented the name (Jason Summers) was a little nonplussed that a phrase intended as a description turned into the standard name for that type of object.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
Re: Thread for basic questions
Confocaloid interpreted it as intended - what I said might have been unclear.
Re: Thread for basic questions
Nah, it was perfectly clear -- I just didn't read it very well.
Yes, this is one of amling's many accomplishments -- see this thread.
There's also a blocks-agar "space clearer" in the next post down. I also really liked the example of the 2/3 lightspeed bubble a little farther back in that thread.
- LaundryPizza03
- Posts: 2340
- Joined: December 15th, 2017, 12:05 am
- Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"
Re: Thread for basic questions
Why the the string "r5b34t45s34t58", the Catagolue rulestring for Bosco's Rule, parsed by Golly as the INT rule B34t5/S34t58?
Code: Select all
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
-
- Posts: 70
- Joined: February 22nd, 2023, 4:01 pm
Re: Thread for basic questions
does the existence of RCT-15 also prove the existence of a RepMOS?
an alternate account for get_Snacked in case he loses his password and can't recover. hence, a much weaker password.
Re: Thread for basic questions
Because Golly doesn't support the Catagolue HROT/LtL rule string format.LaundryPizza03 wrote: ↑April 17th, 2023, 7:06 amWhy the the string "r5b34t45s34t58", the Catagolue rulestring for Bosco's Rule, parsed by Golly as the INT rule B34t5/S34t58?
LifeViewer https://lazyslug.com/lifeviewer
- 77551enpassant
- Posts: 46
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- Location: Portland, Oregon
Re: Thread for basic questions
Is it possible to construct a pattern that has a growth rate asymptotic to O(t^sqrt(2)) or some other irrational number?
I enjoy self-supporting spaceships
Code: Select all
x = 11, y = 14, rule = B3/S23
2bo$3b2o$obo$o9$10bo$9b2o!
#C[[ THEME Golly GRID ]]
- toroidalet
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- Contact:
Re: Thread for basic questions
Any Sierpinski triangle builder has a growth rate asymptotic to t^(log_2(3)). There are infinitely many generations for which the growth rate is exact (i.e. powers of 2), but I'm not sure if it's O(t^(log_2(3))) for all generations.77551enpassant wrote: ↑April 19th, 2023, 8:02 pmIs it possible to construct a pattern that has a growth rate asymptotic to O(t^sqrt(2)) or some other irrational number?
For the same reason, a rule-90 replicator has a growth rate of t^(log_2(3/2)). Wwei47 has also made quite a different triangles with other growth rates.
Yes, it does. There are many options, but I think the simplest is to program the RCT to make two crab tubstretchers heading in opposite directions. These tubstretchers will start at the same time, and their tubs will be lined up. Along with the tubstretchers will be a group of gliders, which will, once a c/3 fuse has reached the end, turn it into the same RCT replicator. After building the tubstretchers, the RCT goes through the process of sending Corderships to clean up the switch-engine debris, and one of these sends a glider back, which triggers both c/3 fuses at the same time. Now, we adjust the slow salvo{a} so that when the tubstretchers collide, it will do this:get_snackeTWO wrote: ↑April 19th, 2023, 8:28 amdoes the existence of RCT-15 also prove the existence of a RepMOS?
Code: Select all
x = 109, y = 62, rule = B3/S23
108bo$106b2o$107b2o14$102b2o$100b4o$99b2o$98bobo$97bobo$83bo2bo9bobo$
83bo11bobo$84bo9bobo$80bobo3b2obo3bobo4bo$80b2o5bo2bobobo3b2o$81bo6b2o
3bo5b2o2$90b2o$90b2o2$87bobo$87b2o$24b2o45b2o15bo$25b2o45b2o$24bo46bo$
21b2o45b2o$23bo46bo2$21bo2bo43bo2bo$24b2o5b2o38b2o5b2o$26bo5b2o39bo5b
2o$24bobo4bo39bobo4bo$25bo2b2o42bo2b2o$28b2o45b2o$25bo46bo$24bobo44bob
o$23bobo44bobo$22bobo44bobo$21bobo44bobo$20bobo44bobo$19bobo3bo40bobo
3bo$18bobo4b2o38bobo4b2o$17b3o4bobo37b3o4bobo$17bo46bo$16b2o45b2o$16b
2o45b2o3$bo46bo$b2o45b2o$obo44bobo!
Of course, we already knew Life had replicators made of spaceships—just take an RMOS from another rule, and turn it into 0E0P metacells.
{a}: It is possible to adjust the slow salvo, despite the fact that each salvo would require a different RCT. The key is that if the distance to the epicentre is n, it takes 16n+C1 generations for the Corderships to reach the end and send back a glider, triggering the fuse. The tubstretchers will now be 16n+C2 cells out when they are destroyed, and the slow salvo gliders will create the RCT copy C3 cells from that, for a total distance of 16n+C2+C3. Since n is very large compared to C2 and C3, the distance to the new replicators is about 8 times its bounding box length, so only the tubstretchers will interact.
Now, the RCT copy will send back a tubstretcher, which will travel 16n+C2 cells, so the distance this tubstretcher is destroyed at will always be C3. By changing the slow salvo (for example, by adding push/pull operations), we can adjust C3 until they make the above collision. Regardless of the size of the resulting RCT, it will work.
Any sufficiently advanced software is indistinguishable from malice.
- yushimitsu
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Re: Thread for basic questions
I don't know if it should be posted in this thread, but I have a question: for a fixed bounding box of m×n, how many different fates are possible? Obviously the number of all fates possible F(m,n)<2^(m×n), but is there a better formula than this? How fast does it increase? For example, F(16,16) will be the number of every possible fate of a 16×16 soup, if we find F(16,16) types of different results in the soup search, then there is no need to continue the search anymore. It will save orders of magnitude of effort(though the search itself is still unlikely to be done forever), how many orders of magnitude though?
Re: Thread for basic questions
This is an extremely difficult problem that relies heavily on the properties of the rule being examined. There may be some rules for which F may be easily computible, but for rules that include sufficiently complex behavior (e.g. computationally universal ones), its complexity would be of the same order of magnitude as actually running every single pattern in the m×n square to completion and counting the results, so it would offer no advantage over actually doing so.yushimitsu wrote: ↑April 20th, 2023, 5:59 amI don't know if it should be posted in this thread, but I have a question: for a fixed bounding box of m×n, how many different fates are possible? Obviously the number of all fates possible F(m,n)<2^(m×n), but is there a better formula than this? How fast does it increase? For example, F(16,16) will be the number of every possible fate of a 16×16 soup, if we find F(16,16) types of different results in the soup search, then there is no need to continue the search anymore. It will save orders of magnitude of effort(though the search itself is still unlikely to be done forever), how many orders of magnitude though?
Re: Thread for basic questions
Yup. As an attempt at drawing a high-level picture here, we're starting with about 10^77 soups, which is (very roughly) one soup for every 1000 atoms in the observable universe. Maybe easier to visualize, if all the matter in the universe was converted into grains of sand, there would be (again very roughly) 10,000,000,000,000,000 soups per grain of sand.
We could definitely cut a few orders of magnitude off of that, but we won't be able to reduce that ridiculous number to anything reasonable. To do the trick of "stop once we have counted so high that we know we've seen everything", we still have to maintain a hash table with at least as many entries in it as there are atoms in the Sun.
In other words, the computing hardware to implement this kind of "shortcut" is just not going to be available any time soon -- we don't have enough matter in the Solar System to build it with.
Re: Thread for basic questions
It can likely be approximated. Take 100 million soups, and find how many unique final ashes occur. Then do the same for 10 billion. Find the ratio between the two, and extrapolate to 2^253 or 2^256 (I'm not sure whether being the same due to symmetry is already accounted for in this test or not).
User:HotdogPi/My discoveries
Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,44,47,48,54,56,72,74,80,92,96S
217,486,576
S: SKOP
G: gun
Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,44,47,48,54,56,72,74,80,92,96S
217,486,576
S: SKOP
G: gun
- yushimitsu
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Re: Thread for basic questions
Hmm. Let's just stay in B3/S23 without any symmetrical restrictions. For the 16×16 "soup space", of course the number of different fates is still way beyond our reach, but there rises a question. Suppose we kept track of a number of random soups(N soups), no matter how hard we try, N is just a tiny fraction compare to the number of all fates(F). Since the soups are randomly chosen, the chance of any two soups getting the same fate is already small, which means the chacnce of not getting N different fates is small. However, we know for a fact the event of multiple soups meeting the same fate happened(for example all diehards). Well, there is an assumption in the first statement(the chance of any two soups getting the same fate being small), that is the probably of getting each fate is even. So the contradicting fact prooves either 1)F is not as big as we think it is or 2)the probability distribution for the F fates is extremely uneven.hotdogPi wrote: ↑April 20th, 2023, 11:07 amIt can likely be approximated. Take 100 million soups, and find how many unique final ashes occur. Then do the same for 10 billion. Find the ratio between the two, and extrapolate to 2^253 or 2^256 (I'm not sure whether being the same due to symmetry is already accounted for in this test or not).
At this point, it seems I have to post more math to replace imprecise words above with quantitative terms(It's essentially a probablistic problem after all). So should I continue the discussion somewhere else? Where should it be?
- toroidalet
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Re: Thread for basic questions
Is there a way to find out which part of a large (millions of cells across) pattern is running very slowly and causing difficulties for HashLife?
Any sufficiently advanced software is indistinguishable from malice.
- Drelectron8
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Re: Thread for basic questions
How do you make a rule recognizble in LifeViewer? For example, if you key in life into the "Change Rule" button, you will get B3/S23. Is it coding or something else? Can someone answer me?
Code: Select all
x = 0, y = 0, rule = B01356/S012345
obo$obo$3o$3o!
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