Thread for basic non-CGOL questions

For discussion of other cellular automata.
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confocaloid
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Re: Thread for basic non-CGOL questions

Post by confocaloid »

Haycat2009 wrote: July 24th, 2024, 8:57 pm This is not really a question...

Can someone help with the tutorial for custom rules?
I think the first thing that needs to be done in that tutorial, is fixing the existing text (terminology, consistency, overall readability). Right now, the text is a horrible mess.

Looking through the edit history, at least one of recent edits, despite being an apparent attempt at "extending ... improvements", unfortunately made things significantly worse than they were before. That includes added confusion between ideas that are related but different, unnecessary distractions and verbosity, and creating a superficial impression of being precise despite lacking actual precision.

It should be fairly clear why I think "someone" in an answer to your question is likely to be someone else.
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.
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Haycat2009
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Re: Thread for basic non-CGOL questions

Post by Haycat2009 »

I know I have asked something similar before, but I need more opinions from the OCA professionals:
Can we run Strobing rules by:
1. Swapping the colour of background (Cells 2 cells away from the nearest live cell and beyond) and B0 cells and back every generation.
2. Treating the background as live every alternate generation, and running it like it’s black/white symmetric dual.
~ Haycat Durnak, a hard-working editor
Also, support Conway and Friends story mode!
I mean no harm to those who have tested me. But do not take this for granted.
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muzik
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Re: Thread for basic non-CGOL questions

Post by muzik »

Have all the static symmetries on {4,3,4} been enumerated?
Parity Replicator Collection v1.6 is now live - please send all relevant discoveries here.
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Citation needed
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Re: Thread for basic non-CGOL questions

Post by Citation needed »

This page claims that Langton's Ant is Turing Complete. Is that so?
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WhiteHawk
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Re: Thread for basic non-CGOL questions

Post by WhiteHawk »

How many oblique ship slopes are known, barring repeats like (2,1) and (3,6)?
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
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confocaloid
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Re: Thread for basic non-CGOL questions

Post by confocaloid »

WhiteHawk wrote: August 3rd, 2024, 3:17 pm How many oblique ship slopes are known, barring repeats like (2,1) and (3,6)?
If one allows engineered or adjustable spaceships, then there are infinitely many different slopes.

I think the 5S database currently lists 658913 oblique examples with 4431 distinct slopes:

Code: Select all

# 658913 speeds, 4431 slopes.
# slope 2 : 15184 instances.
# slope 3 : 10789 instances.
# slope 3/2 : 9141 instances.
# slope 4 : 8246 instances.
# slope 5 : 6647 instances.
# slope 4/3 : 6432 instances.
# slope 5/2 : 6042 instances.
# slope 6 : 5627 instances.
# slope 5/3 : 5512 instances.
# slope 5/4 : 4846 instances.
# slope 7 : 4823 instances.
# slope 7/2 : 4376 instances.
# slope 7/3 : 4142 instances.
# slope 8 : 4050 instances.
# slope 6/5 : 4004 instances.
# slope 7/4 : 3867 instances.
# slope 8/3 : 3662 instances.
# slope 9 : 3660 instances.
# slope 7/5 : 3567 instances.
# slope 9/2 : 3489 instances.
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# slope 8/5 : 3201 instances.
# slope 10 : 3192 instances.
# slope 9/4 : 3095 instances.
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# slope 126/67 : 1 instance : (126,67)/386.
# slope 109/84 : 1 instance : (109,84)/386.
# slope 170/3 : 1 instance : (170,3)/387.
# slope 151/6 : 1 instance : (151,6)/387.
# slope 151/43 : 1 instance : (151,43)/388.
# slope 122/49 : 1 instance : (122,49)/388.
# slope 181 : 1 instance : (181,1)/389.
# slope 179/16 : 1 instance : (179,16)/390.
# slope 163/32 : 1 instance : (163,32)/390.
# slope 113/82 : 1 instance : (113,82)/390.
# slope 191/2 : 1 instance : (191,2)/392.
# slope 111/40 : 1 instance : (111,40)/392.
# slope 185/12 : 1 instance : (185,12)/394.
# slope 183/14 : 1 instance : (183,14)/394.
# slope 104/93 : 1 instance : (104,93)/394.
# slope 163/35 : 1 instance : (163,35)/396.
# slope 136/11 : 1 instance : (136,11)/396.
# slope 121/25 : 1 instance : (121,25)/396.
# slope 165/4 : 1 instance : (165,4)/397.
# slope 177/2 : 1 instance : (177,2)/398.
# slope 142/57 : 1 instance : (142,57)/398.
# slope 102/97 : 1 instance : (102,97)/398.
# slope 100/99 : 1 instance : (100,99)/398.
# slope 153/8 : 1 instance : (153,8)/399.
# slope 183/17 : 1 instance : (183,17)/400.
# slope 171/29 : 1 instance : (171,29)/400.
# slope 142/55 : 1 instance : (142,55)/400.
# slope 139/61 : 1 instance : (139,61)/400.
# slope 185 : 1 instance : (185,1)/401.
# slope 152/49 : 1 instance : (152,49)/402.
# slope 143/58 : 1 instance : (143,58)/402.
# slope 130/71 : 1 instance : (130,71)/402.
# slope 193/3 : 1 instance : (193,3)/403.
# slope 95/66 : 1 instance : (95,66)/403.
# slope 118/25 : 1 instance : (118,25)/404.
# slope 187 : 1 instance : (187,1)/406.
# slope 164/39 : 1 instance : (164,39)/406.
# slope 124/79 : 1 instance : (124,79)/406.
# slope 181/5 : 1 instance : (181,5)/407.
# slope 149/18 : 1 instance : (149,18)/408.
# slope 139/65 : 1 instance : (139,65)/408.
# slope 137/10 : 1 instance : (137,10)/408.
# slope 125/79 : 1 instance : (125,79)/408.
# slope 188 : 1 instance : (188,1)/409.
# slope 169/36 : 1 instance : (169,36)/410.
# slope 157/2 : 1 instance : (157,2)/410.
# slope 148/13 : 1 instance : (148,13)/410.
# slope 146/59 : 1 instance : (146,59)/410.
# slope 101/97 : 1 instance : (101,97)/411.
# slope 188/3 : 1 instance : (188,3)/412.
# slope 173/19 : 1 instance : (173,19)/412.
# slope 151/55 : 1 instance : (151,55)/412.
# slope 140/11 : 1 instance : (140,11)/412.
# slope 123/83 : 1 instance : (123,83)/412.
# slope 196 : 1 instance : (196,1)/414.
# slope 131/76 : 1 instance : (131,76)/414.
# slope 194 : 1 instance : (194,1)/415.
# slope 190 : 1 instance : (190,1)/416.
# slope 179 : 1 instance : (179,1)/416.
# slope 153/55 : 1 instance : (153,55)/416.
# slope 149/20 : 1 instance : (149,20)/418.
# slope 130/79 : 1 instance : (130,79)/418.
# slope 187/23 : 1 instance : (187,23)/420.
# slope 149/61 : 1 instance : (149,61)/420.
# slope 148/3 : 1 instance : (148,3)/420.
# slope 199 : 1 instance : (199,1)/421.
# slope 198/13 : 1 instance : (198,13)/422.
# slope 145/66 : 1 instance : (145,66)/422.
# slope 123/88 : 1 instance : (123,88)/422.
# slope 85/83 : 1 instance : (85,83)/422.
# slope 211 : 1 instance : (211,1)/424.
# slope 197/15 : 1 instance : (197,15)/424.
# slope 103/49 : 1 instance : (103,49)/425.
# slope 131/17 : 1 instance : (131,17)/427.
# slope 134/21 : 1 instance : (134,21)/428.
# slope 133/67 : 1 instance : (133,67)/428.
# slope 187/3 : 1 instance : (187,3)/430.
# slope 163/52 : 1 instance : (163,52)/430.
# slope 147/68 : 1 instance : (147,68)/430.
# slope 115/22 : 1 instance : (115,22)/430.
# slope 131/10 : 1 instance : (131,10)/431.
# slope 204/13 : 1 instance : (204,13)/434.
# slope 202/3 : 1 instance : (202,3)/434.
# slope 156/59 : 1 instance : (156,59)/434.
# slope 149/68 : 1 instance : (149,68)/434.
# slope 195 : 1 instance : (195,1)/435.
# slope 145/73 : 1 instance : (145,73)/436.
# slope 98/79 : 1 instance : (98,79)/437.
# slope 77/76 : 1 instance : (77,76)/438.
# slope 188/21 : 1 instance : (188,21)/439.
# slope 181/3 : 1 instance : (181,3)/440.
# slope 176 : 1 instance : (176,1)/440.
# slope 171/49 : 1 instance : (171,49)/440.
# slope 149/35 : 1 instance : (149,35)/441.
# slope 183/38 : 1 instance : (183,38)/442.
# slope 160/17 : 1 instance : (160,17)/442.
# slope 143/67 : 1 instance : (143,67)/442.
# slope 110/107 : 1 instance : (110,107)/442.
# slope 206/5 : 1 instance : (206,5)/445.
# slope 200/23 : 1 instance : (200,23)/446.
# slope 175/48 : 1 instance : (175,48)/446.
# slope 156/67 : 1 instance : (156,67)/446.
# slope 144/79 : 1 instance : (144,79)/446.
# slope 127/38 : 1 instance : (127,38)/446.
# slope 201/23 : 1 instance : (201,23)/448.
# slope 197/5 : 1 instance : (197,5)/448.
# slope 191/33 : 1 instance : (191,33)/448.
# slope 117/20 : 1 instance : (117,20)/448.
# slope 105/62 : 1 instance : (105,62)/448.
# slope 93/86 : 1 instance : (93,86)/448.
# slope 208 : 1 instance : (208,1)/450.
# slope 123/86 : 1 instance : (123,86)/450.
# slope 136/9 : 1 instance : (136,9)/451.
# slope 133/93 : 1 instance : (133,93)/452.
# slope 95/58 : 1 instance : (95,58)/452.
# slope 195/32 : 1 instance : (195,32)/454.
# slope 89/75 : 1 instance : (89,75)/454.
# slope 185/17 : 1 instance : (185,17)/456.
# slope 212/17 : 1 instance : (212,17)/458.
# slope 175/54 : 1 instance : (175,54)/458.
# slope 147/82 : 1 instance : (147,82)/458.
# slope 132/97 : 1 instance : (132,97)/458.
# slope 169/61 : 1 instance : (169,61)/460.
# slope 107/21 : 1 instance : (107,21)/462.
# slope 97/86 : 1 instance : (97,86)/462.
# slope 85/59 : 1 instance : (85,59)/463.
# slope 97/65 : 1 instance : (97,65)/464.
# slope 218 : 1 instance : (218,1)/465.
# slope 99/53 : 1 instance : (99,53)/465.
# slope 177/14 : 1 instance : (177,14)/466.
# slope 157/76 : 1 instance : (157,76)/466.
# slope 148/85 : 1 instance : (148,85)/466.
# slope 141/92 : 1 instance : (141,92)/466.
# slope 119/115 : 1 instance : (119,115)/467.
# slope 93/40 : 1 instance : (93,40)/467.
# slope 220 : 1 instance : (220,1)/468.
# slope 139/95 : 1 instance : (139,95)/468.
# slope 214/3 : 1 instance : (214,3)/470.
# slope 188/15 : 1 instance : (188,15)/470.
# slope 179/56 : 1 instance : (179,56)/470.
# slope 133/131 : 1 instance : (133,131)/470.
# slope 109/32 : 1 instance : (109,32)/470.
# slope 194/9 : 1 instance : (194,9)/471.
# slope 95/87 : 1 instance : (95,87)/471.
# slope 178/51 : 1 instance : (178,51)/472.
# slope 236 : 1 instance : (236,1)/474.
# slope 150/11 : 1 instance : (150,11)/475.
# slope 211/27 : 1 instance : (211,27)/476.
# slope 83/75 : 1 instance : (83,75)/476.
# slope 213/5 : 1 instance : (213,5)/482.
# slope 151/90 : 1 instance : (151,90)/482.
# slope 221/21 : 1 instance : (221,21)/484.
# slope 123/61 : 1 instance : (123,61)/484.
# slope 111/109 : 1 instance : (111,109)/484.
# slope 151/3 : 1 instance : (151,3)/485.
# slope 193/50 : 1 instance : (193,50)/486.
# slope 143/107 : 1 instance : (143,107)/486.
# slope 109/96 : 1 instance : (109,96)/486.
# slope 73/71 : 1 instance : (73,71)/486.
# slope 123/106 : 1 instance : (123,106)/488.
# slope 149/17 : 1 instance : (149,17)/489.
# slope 226 : 1 instance : (226,1)/490.
# slope 118/31 : 1 instance : (118,31)/493.
# slope 77/69 : 1 instance : (77,69)/493.
# slope 181/66 : 1 instance : (181,66)/494.
# slope 167/80 : 1 instance : (167,80)/494.
# slope 151/96 : 1 instance : (151,96)/494.
# slope 95/72 : 1 instance : (95,72)/494.
# slope 191/9 : 1 instance : (191,9)/495.
# slope 153/35 : 1 instance : (153,35)/496.
# slope 115/58 : 1 instance : (115,58)/496.
# slope 81/58 : 1 instance : (81,58)/496.
# slope 122/67 : 1 instance : (122,67)/499.
# slope 230/9 : 1 instance : (230,9)/500.
# slope 92/59 : 1 instance : (92,59)/502.
# slope 113/69 : 1 instance : (113,69)/504.
# slope 125/123 : 1 instance : (125,123)/505.
# slope 115/52 : 1 instance : (115,52)/506.
# slope 251 : 1 instance : (251,1)/508.
# slope 93/46 : 1 instance : (93,46)/510.
# slope 104/23 : 1 instance : (104,23)/511.
# slope 227/3 : 1 instance : (227,3)/515.
# slope 127/67 : 1 instance : (127,67)/515.
# slope 115/72 : 1 instance : (115,72)/516.
# slope 111/44 : 1 instance : (111,44)/516.
# slope 127/54 : 1 instance : (127,54)/517.
# slope 104/49 : 1 instance : (104,49)/519.
# slope 96/61 : 1 instance : (96,61)/519.
# slope 120/109 : 1 instance : (120,109)/520.
# slope 105/71 : 1 instance : (105,71)/520.
# slope 109/27 : 1 instance : (109,27)/523.
# slope 107/31 : 1 instance : (107,31)/523.
# slope 143/95 : 1 instance : (143,95)/524.
# slope 247 : 1 instance : (247,1)/526.
# slope 197/10 : 1 instance : (197,10)/526.
# slope 125/17 : 1 instance : (125,17)/526.
# slope 200 : 1 instance : (200,1)/528.
# slope 112/51 : 1 instance : (112,51)/528.
# slope 191/18 : 1 instance : (191,18)/529.
# slope 116/13 : 1 instance : (116,13)/529.
# slope 109/48 : 1 instance : (109,48)/530.
# slope 221/2 : 1 instance : (221,2)/531.
# slope 98/83 : 1 instance : (98,83)/533.
# slope 182/85 : 1 instance : (182,85)/534.
# slope 124/61 : 1 instance : (124,61)/534.
# slope 106/41 : 1 instance : (106,41)/534.
# slope 239 : 1 instance : (239,1)/536.
# slope 159/109 : 1 instance : (159,109)/536.
# slope 79/62 : 1 instance : (79,62)/536.
# slope 165/23 : 1 instance : (165,23)/540.
# slope 107/62 : 1 instance : (107,62)/547.
# slope 103/100 : 1 instance : (103,100)/547.
# slope 86/39 : 1 instance : (86,39)/547.
# slope 153/14 : 1 instance : (153,14)/548.
# slope 246/29 : 1 instance : (246,29)/550.
# slope 267 : 1 instance : (267,1)/551.
# slope 199/7 : 1 instance : (199,7)/552.
# slope 141/61 : 1 instance : (141,61)/552.
# slope 162/109 : 1 instance : (162,109)/555.
# slope 84/83 : 1 instance : (84,83)/564.
# slope 112/15 : 1 instance : (112,15)/566.
# slope 226/15 : 1 instance : (226,15)/567.
# slope 231 : 1 instance : (231,1)/569.
# slope 80/79 : 1 instance : (160,158)/569.
# slope 125/54 : 1 instance : (125,54)/574.
# slope 124/19 : 1 instance : (124,19)/574.
# slope 98/37 : 1 instance : (98,37)/574.
# slope 264 : 1 instance : (264,1)/575.
# slope 139/135 : 1 instance : (139,135)/576.
# slope 96/77 : 1 instance : (96,77)/577.
# slope 139/133 : 1 instance : (139,133)/578.
# slope 131/115 : 1 instance : (131,115)/578.
# slope 87/85 : 1 instance : (87,85)/578.
# slope 149/116 : 1 instance : (149,116)/581.
# slope 89/77 : 1 instance : (89,77)/583.
# slope 129/17 : 1 instance : (258,34)/584.
# slope 133/116 : 1 instance : (133,116)/586.
# slope 89/81 : 1 instance : (89,81)/588.
# slope 268 : 1 instance : (268,1)/593.
# slope 227/8 : 1 instance : (227,8)/594.
# slope 276 : 1 instance : (276,1)/595.
# slope 235/58 : 1 instance : (235,58)/597.
# slope 159/26 : 1 instance : (159,26)/603.
# slope 215/87 : 1 instance : (215,87)/604.
# slope 157/17 : 1 instance : (157,17)/606.
# slope 108/41 : 1 instance : (108,41)/606.
# slope 212/81 : 1 instance : (212,81)/608.
# slope 107/89 : 1 instance : (107,89)/608.
# slope 107/92 : 1 instance : (107,92)/609.
# slope 298/7 : 1 instance : (298,7)/610.
# slope 114/11 : 1 instance : (114,11)/610.
# slope 243/58 : 1 instance : (243,58)/612.
# slope 146/25 : 1 instance : (146,25)/612.
# slope 93/83 : 1 instance : (93,83)/613.
# slope 218/7 : 1 instance : (218,7)/614.
# slope 273/19 : 1 instance : (273,19)/615.
# slope 89/52 : 1 instance : (89,52)/617.
# slope 118/37 : 1 instance : (236,74)/620.
# slope 115/14 : 1 instance : (115,14)/620.
# slope 243/49 : 1 instance : (243,49)/621.
# slope 213/95 : 1 instance : (213,95)/621.
# slope 269/11 : 1 instance : (269,11)/622.
# slope 267/10 : 1 instance : (267,10)/622.
# slope 209/25 : 1 instance : (209,25)/623.
# slope 206/3 : 1 instance : (206,3)/623.
# slope 124/23 : 1 instance : (124,23)/623.
# slope 151/57 : 1 instance : (151,57)/624.
# slope 100/89 : 1 instance : (100,89)/625.
# slope 244/69 : 1 instance : (244,69)/626.
# slope 101/63 : 1 instance : (101,63)/626.
# slope 269/13 : 1 instance : (269,13)/629.
# slope 87/62 : 1 instance : (87,62)/630.
# slope 139/21 : 1 instance : (139,21)/631.
# slope 124/69 : 1 instance : (124,69)/631.
# slope 97/58 : 1 instance : (97,58)/632.
# slope 130/37 : 1 instance : (130,37)/634.
# slope 156/41 : 1 instance : (156,41)/635.
# slope 88/53 : 1 instance : (88,53)/637.
# slope 86/71 : 1 instance : (86,71)/637.
# slope 242/37 : 1 instance : (242,37)/638.
# slope 146/141 : 1 instance : (146,141)/638.
# slope 121/50 : 1 instance : (121,50)/638.
# slope 151/45 : 1 instance : (151,45)/639.
# slope 165 : 1 instance : (165,1)/640.
# slope 251/5 : 1 instance : (251,5)/642.
# slope 125/6 : 1 instance : (125,6)/643.
# slope 201/121 : 1 instance : (201,121)/644.
# slope 100/63 : 1 instance : (100,63)/644.
# slope 113/52 : 1 instance : (113,52)/646.
# slope 284/3 : 1 instance : (284,3)/647.
# slope 137/91 : 1 instance : (137,91)/648.
# slope 135/7 : 1 instance : (135,7)/651.
# slope 105/29 : 1 instance : (105,29)/652.
# slope 102/43 : 1 instance : (102,43)/652.
# slope 127/97 : 1 instance : (127,97)/653.
# slope 100/33 : 1 instance : (100,33)/653.
# slope 91/43 : 1 instance : (91,43)/655.
# slope 136/15 : 1 instance : (136,15)/657.
# slope 83/78 : 1 instance : (83,78)/658.
# slope 102/61 : 1 instance : (102,61)/659.
# slope 113/63 : 1 instance : (113,63)/660.
# slope 122/5 : 1 instance : (122,5)/661.
# slope 87/64 : 1 instance : (87,64)/661.
# slope 246 : 1 instance : (246,1)/664.
# slope 97/49 : 1 instance : (97,49)/664.
# slope 130/81 : 1 instance : (130,81)/666.
# slope 113/46 : 1 instance : (113,46)/669.
# slope 193/143 : 1 instance : (193,143)/672.
# slope 175/19 : 1 instance : (175,19)/673.
# slope 114/43 : 1 instance : (114,43)/673.
# slope 100/39 : 1 instance : (100,39)/673.
# slope 138/49 : 1 instance : (138,49)/674.
# slope 322 : 1 instance : (322,1)/675.
# slope 155/8 : 1 instance : (155,8)/675.
# slope 115/71 : 1 instance : (115,71)/675.
# slope 128/17 : 1 instance : (128,17)/677.
# slope 298/3 : 1 instance : (298,3)/678.
# slope 131/121 : 1 instance : (131,121)/680.
# slope 84/73 : 1 instance : (84,73)/681.
# slope 95/94 : 1 instance : (190,188)/685.
# slope 177/4 : 1 instance : (177,4)/687.
# slope 237/23 : 1 instance : (237,23)/688.
# slope 179/8 : 1 instance : (179,8)/688.
# slope 308/5 : 1 instance : (308,5)/690.
# slope 95/53 : 1 instance : (95,53)/691.
# slope 190/79 : 1 instance : (190,79)/694.
# slope 332/9 : 1 instance : (332,9)/695.
# slope 122/11 : 1 instance : (122,11)/695.
# slope 90/73 : 1 instance : (90,73)/696.
# slope 133/15 : 1 instance : (133,15)/697.
# slope 97/96 : 1 instance : (194,192)/698.
# slope 109/31 : 1 instance : (109,31)/701.
# slope 301/6 : 1 instance : (301,6)/702.
# slope 314 : 1 instance : (314,1)/705.
# slope 171/23 : 1 instance : (171,23)/705.
# slope 89/67 : 1 instance : (89,67)/706.
# slope 107/96 : 1 instance : (107,96)/707.
# slope 93/58 : 1 instance : (93,58)/709.
# slope 296/7 : 1 instance : (296,7)/710.
# slope 119/32 : 1 instance : (119,32)/711.
# slope 305 : 1 instance : (305,1)/717.
# slope 303/7 : 1 instance : (303,7)/717.
# slope 103/79 : 1 instance : (103,79)/718.
# slope 127/56 : 1 instance : (127,56)/722.
# slope 96/49 : 1 instance : (96,49)/724.
# slope 319/3 : 1 instance : (319,3)/725.
# slope 88/79 : 1 instance : (88,79)/725.
# slope 103/93 : 1 instance : (103,93)/728.
# slope 116/61 : 1 instance : (116,61)/729.
# slope 125/7 : 1 instance : (125,7)/730.
# slope 101/64 : 1 instance : (101,64)/730.
# slope 178/65 : 1 instance : (178,65)/734.
# slope 125/16 : 1 instance : (125,16)/739.
# slope 338 : 1 instance : (338,1)/740.
# slope 140/17 : 1 instance : (140,17)/740.
# slope 113/73 : 1 instance : (113,73)/740.
# slope 121/63 : 1 instance : (121,63)/741.
# slope 167/161 : 1 instance : (167,161)/744.
# slope 120/59 : 1 instance : (120,59)/746.
# slope 91/72 : 1 instance : (91,72)/746.
# slope 135/2 : 1 instance : (135,2)/750.
# slope 88/39 : 1 instance : (88,39)/751.
# slope 103/76 : 1 instance : (103,76)/752.
# slope 88/69 : 1 instance : (88,69)/754.
# slope 183/19 : 1 instance : (183,19)/755.
# slope 313/65 : 1 instance : (313,65)/756.
# slope 72/61 : 1 instance : (72,61)/758.
# slope 89/70 : 1 instance : (89,70)/759.
# slope 219 : 1 instance : (219,1)/761.
# slope 109/47 : 1 instance : (109,47)/764.
# slope 105/47 : 1 instance : (105,47)/765.
# slope 359/2 : 1 instance : (359,2)/767.
# slope 125/46 : 1 instance : (125,46)/767.
# slope 104/15 : 1 instance : (104,15)/767.
# slope 122/69 : 1 instance : (122,69)/769.
# slope 92/33 : 1 instance : (92,33)/770.
# slope 342 : 1 instance : (342,1)/774.
# slope 125/13 : 1 instance : (125,13)/776.
# slope 89/68 : 1 instance : (89,68)/777.
# slope 173 : 1 instance : (346,2)/780.
# slope 103/44 : 1 instance : (103,44)/782.
# slope 87/65 : 1 instance : (87,65)/785.
# slope 316/11 : 1 instance : (316,11)/787.
# slope 121/42 : 1 instance : (121,42)/789.
# slope 112/103 : 1 instance : (112,103)/791.
# slope 153/109 : 1 instance : (153,109)/796.
# slope 109/46 : 1 instance : (109,46)/796.
# slope 99/82 : 1 instance : (99,82)/796.
# slope 79/69 : 1 instance : (79,69)/796.
# slope 103/65 : 1 instance : (103,65)/798.
# slope 97/59 : 1 instance : (97,59)/799.
# slope 114/47 : 1 instance : (114,47)/800.
# slope 330/31 : 1 instance : (330,31)/801.
# slope 91/75 : 1 instance : (91,75)/801.
# slope 165/16 : 1 instance : (330,32)/802.
# slope 112/111 : 1 instance : (224,222)/804.
# slope 94/63 : 1 instance : (94,63)/807.
# slope 112/81 : 1 instance : (112,81)/809.
# slope 94/65 : 1 instance : (94,65)/809.
# slope 91/82 : 1 instance : (91,82)/811.
# slope 185/54 : 1 instance : (185,54)/812.
# slope 127/101 : 1 instance : (127,101)/813.
# slope 121/57 : 1 instance : (121,57)/815.
# slope 209/206 : 1 instance : (209,206)/816.
# slope 139/62 : 1 instance : (139,62)/819.
# slope 111/43 : 1 instance : (111,43)/819.
# slope 100/73 : 1 instance : (100,73)/819.
# slope 139/64 : 1 instance : (278,128)/822.
# slope 145/106 : 1 instance : (145,106)/822.
# slope 93/73 : 1 instance : (93,73)/823.
# slope 123/8 : 1 instance : (123,8)/826.
# slope 119/74 : 1 instance : (119,74)/827.
# slope 107/71 : 1 instance : (107,71)/831.
# slope 101/35 : 1 instance : (101,35)/832.
# slope 97/56 : 1 instance : (97,56)/832.
# slope 143/6 : 1 instance : (143,6)/835.
# slope 232/225 : 1 instance : (232,225)/838.
# slope 115/114 : 1 instance : (230,228)/838.
# slope 113/100 : 1 instance : (113,100)/839.
# slope 79/78 : 1 instance : (79,78)/844.
# slope 133/27 : 1 instance : (133,27)/845.
# slope 165/157 : 1 instance : (165,157)/847.
# slope 168/41 : 1 instance : (168,41)/850.
# slope 161/44 : 1 instance : (161,44)/850.
# slope 157/150 : 1 instance : (157,150)/850.
# slope 113/36 : 1 instance : (113,36)/854.
# slope 81/80 : 1 instance : (81,80)/854.
# slope 143/5 : 1 instance : (143,5)/855.
# slope 100/79 : 1 instance : (100,79)/856.
# slope 99/49 : 1 instance : (99,49)/856.
# slope 83/73 : 1 instance : (83,73)/856.
# slope 106/23 : 1 instance : (106,23)/859.
# slope 91/55 : 1 instance : (91,55)/860.
# slope 121/13 : 1 instance : (121,13)/861.
# slope 141/34 : 1 instance : (141,34)/863.
# slope 151/8 : 1 instance : (151,8)/864.
# slope 117/5 : 1 instance : (117,5)/864.
# slope 111/100 : 1 instance : (111,100)/864.
# slope 421 : 1 instance : (421,1)/867.
# slope 179/12 : 1 instance : (179,12)/869.
# slope 113/8 : 1 instance : (113,8)/878.
# slope 107/18 : 1 instance : (107,18)/878.
# slope 109/54 : 1 instance : (109,54)/881.
# slope 130/47 : 1 instance : (130,47)/882.
# slope 138/7 : 1 instance : (138,7)/884.
# slope 114/107 : 1 instance : (114,107)/886.
# slope 98/71 : 1 instance : (98,71)/887.
# slope 125/31 : 1 instance : (125,31)/888.
# slope 112/85 : 1 instance : (112,85)/889.
# slope 100/59 : 1 instance : (100,59)/889.
# slope 119/44 : 1 instance : (119,44)/891.
# slope 115/56 : 1 instance : (115,56)/892.
# slope 93/56 : 1 instance : (93,56)/893.
# slope 101/52 : 1 instance : (101,52)/894.
# slope 137/59 : 1 instance : (137,59)/895.
# slope 188/53 : 1 instance : (188,53)/899.
# slope 99/65 : 1 instance : (99,65)/902.
# slope 128/15 : 1 instance : (256,30)/903.
# slope 287/103 : 1 instance : (287,103)/904.
# slope 117/35 : 1 instance : (117,35)/904.
# slope 434/15 : 1 instance : (434,15)/905.
# slope 105/101 : 1 instance : (105,101)/905.
# slope 84/65 : 1 instance : (84,65)/906.
# slope 110/9 : 1 instance : (110,9)/908.
# slope 105/83 : 1 instance : (105,83)/908.
# slope 124/11 : 1 instance : (124,11)/911.
# slope 95/83 : 1 instance : (95,83)/914.
# slope 89/71 : 1 instance : (89,71)/920.
# slope 143/62 : 1 instance : (143,62)/921.
# slope 125/57 : 1 instance : (125,57)/923.
# slope 114/49 : 1 instance : (114,49)/925.
# slope 94/53 : 1 instance : (94,53)/928.
# slope 119/48 : 1 instance : (119,48)/933.
# slope 255/253 : 1 instance : (255,253)/934.
# slope 109/37 : 1 instance : (109,37)/939.
# slope 130/49 : 1 instance : (130,49)/943.
# slope 117/53 : 1 instance : (117,53)/950.
# slope 107/35 : 1 instance : (107,35)/950.
# slope 101/89 : 1 instance : (101,89)/950.
# slope 108/47 : 1 instance : (108,47)/952.
# slope 323/231 : 1 instance : (323,231)/954.
# slope 125/19 : 1 instance : (125,19)/957.
# slope 119/75 : 1 instance : (119,75)/960.
# slope 156/5 : 1 instance : (156,5)/964.
# slope 131/74 : 1 instance : (131,74)/965.
# slope 117/32 : 1 instance : (117,32)/965.
# slope 103/82 : 1 instance : (103,82)/968.
# slope 131/80 : 1 instance : (131,80)/969.
# slope 112/33 : 1 instance : (112,33)/969.
# slope 112/25 : 1 instance : (112,25)/970.
# slope 137/120 : 1 instance : (137,120)/973.
# slope 121/40 : 1 instance : (121,40)/974.
# slope 129/35 : 1 instance : (129,35)/975.
# slope 111/13 : 1 instance : (111,13)/975.
# slope 105/43 : 1 instance : (105,43)/975.
# slope 136/35 : 1 instance : (136,35)/976.
# slope 122/33 : 1 instance : (122,33)/977.
# slope 119/24 : 1 instance : (119,24)/978.
# slope 107/45 : 1 instance : (107,45)/979.
# slope 131/45 : 1 instance : (131,45)/989.
# slope 115/8 : 1 instance : (115,8)/989.
# slope 103/69 : 1 instance : (103,69)/993.
# slope 94/83 : 1 instance : (94,83)/993.
# slope 410/11 : 1 instance : (410,11)/994.
# slope 104/41 : 1 instance : (104,41)/998.
# slope 233/23 : 1 instance : (233,23)/1005.
# slope 82/63 : 1 instance : (82,63)/1008.
# slope 103/47 : 1 instance : (103,47)/1013.
# slope 118/15 : 1 instance : (118,15)/1014.
# slope 101/45 : 1 instance : (101,45)/1014.
# slope 339/337 : 1 instance : (339,337)/1015.
# slope 141/140 : 1 instance : (282,280)/1017.
# slope 121/59 : 1 instance : (121,59)/1020.
# slope 95/33 : 1 instance : (95,33)/1022.
# slope 95/69 : 1 instance : (95,69)/1023.
# slope 252 : 1 instance : (252,1)/1025.
# slope 75/68 : 1 instance : (150,136)/1026.
# slope 96/47 : 1 instance : (96,47)/1030.
# slope 93/91 : 1 instance : (93,91)/1035.
# slope 156/49 : 1 instance : (312,98)/1036.
# slope 287/283 : 1 instance : (287,283)/1039.
# slope 289/283 : 1 instance : (289,283)/1040.
# slope 134/65 : 1 instance : (134,65)/1040.
# slope 120/41 : 1 instance : (120,41)/1041.
# slope 123/35 : 1 instance : (123,35)/1044.
# slope 107/51 : 1 instance : (107,51)/1045.
# slope 136/71 : 1 instance : (136,71)/1046.
# slope 118/21 : 1 instance : (118,21)/1047.
# slope 116/67 : 1 instance : (116,67)/1047.
# slope 103/51 : 1 instance : (103,51)/1048.
# slope 168/101 : 1 instance : (168,101)/1049.
# slope 139/53 : 1 instance : (139,53)/1049.
# slope 119/97 : 1 instance : (119,97)/1051.
# slope 149/32 : 1 instance : (149,32)/1054.
# slope 93/35 : 1 instance : (93,35)/1056.
# slope 125/43 : 1 instance : (125,43)/1057.
# slope 191/6 : 1 instance : (191,6)/1058.
# slope 129/44 : 1 instance : (129,44)/1060.
# slope 118/49 : 1 instance : (118,49)/1063.
# slope 133/87 : 1 instance : (133,87)/1070.
# slope 127/6 : 1 instance : (127,6)/1073.
# slope 131/35 : 1 instance : (131,35)/1074.
# slope 104/43 : 1 instance : (104,43)/1074.
# slope 271 : 1 instance : (271,1)/1078.
# slope 133/33 : 1 instance : (133,33)/1078.
# slope 101/58 : 1 instance : (101,58)/1084.
# slope 132/125 : 1 instance : (264,250)/1086.
# slope 152/65 : 1 instance : (152,65)/1089.
# slope 87/77 : 1 instance : (87,77)/1092.
# slope 119/22 : 1 instance : (119,22)/1096.
# slope 119/30 : 1 instance : (119,30)/1098.
# slope 127/45 : 1 instance : (127,45)/1106.
# slope 101/21 : 1 instance : (101,21)/1109.
# slope 97/7 : 1 instance : (97,7)/1109.
# slope 91/57 : 1 instance : (91,57)/1109.
# slope 119/29 : 1 instance : (119,29)/1125.
# slope 105/52 : 1 instance : (105,52)/1132.
# slope 119/60 : 1 instance : (119,60)/1139.
# slope 107/85 : 1 instance : (107,85)/1141.
# slope 109/104 : 1 instance : (109,104)/1145.
# slope 110/51 : 1 instance : (110,51)/1149.
# slope 122/17 : 1 instance : (122,17)/1152.
# slope 133/94 : 1 instance : (133,94)/1155.
# slope 125/122 : 1 instance : (125,122)/1157.
# slope 101/79 : 1 instance : (101,79)/1158.
# slope 101/39 : 1 instance : (101,39)/1162.
# slope 99/74 : 1 instance : (99,74)/1163.
# slope 139/9 : 1 instance : (139,9)/1174.
# slope 106/97 : 1 instance : (106,97)/1176.
# slope 104/47 : 1 instance : (104,47)/1180.
# slope 125/22 : 1 instance : (125,22)/1181.
# slope 104/51 : 1 instance : (104,51)/1182.
# slope 113/24 : 1 instance : (113,24)/1188.
# slope 112/75 : 1 instance : (112,75)/1193.
# slope 130/9 : 1 instance : (130,9)/1197.
# slope 140/27 : 1 instance : (140,27)/1201.
# slope 106/55 : 1 instance : (106,55)/1201.
# slope 110/89 : 1 instance : (110,89)/1205.
# slope 113/85 : 1 instance : (113,85)/1208.
# slope 125/38 : 1 instance : (125,38)/1210.
# slope 115/31 : 1 instance : (115,31)/1212.
# slope 137/76 : 1 instance : (137,76)/1219.
# slope 124/43 : 1 instance : (124,43)/1221.
# slope 123/40 : 1 instance : (123,40)/1228.
# slope 131/68 : 1 instance : (131,68)/1238.
# slope 88/63 : 1 instance : (88,63)/1242.
# slope 90/77 : 1 instance : (90,77)/1243.
# slope 112/93 : 1 instance : (112,93)/1246.
# slope 94/71 : 1 instance : (94,71)/1247.
# slope 121/61 : 1 instance : (121,61)/1252.
# slope 132/41 : 1 instance : (132,41)/1254.
# slope 87/68 : 1 instance : (87,68)/1263.
# slope 76/65 : 1 instance : (76,65)/1263.
# slope 83/79 : 1 instance : (83,79)/1264.
# slope 121/52 : 1 instance : (121,52)/1265.
# slope 125/26 : 1 instance : (125,26)/1266.
# slope 99/64 : 1 instance : (99,64)/1269.
# slope 115/108 : 1 instance : (115,108)/1270.
# slope 132/67 : 1 instance : (132,67)/1287.
# slope 91/68 : 1 instance : (91,68)/1289.
# slope 167/4 : 1 instance : (167,4)/1290.
# slope 130/7 : 1 instance : (130,7)/1298.
# slope 129/56 : 1 instance : (129,56)/1299.
# slope 114/35 : 1 instance : (114,35)/1300.
# slope 113/54 : 1 instance : (113,54)/1307.
# slope 101/44 : 1 instance : (101,44)/1310.
# slope 163/42 : 1 instance : (163,42)/1311.
# slope 109/87 : 1 instance : (109,87)/1311.
# slope 110/59 : 1 instance : (110,59)/1313.
# slope 136/45 : 1 instance : (136,45)/1314.
# slope 329/2 : 1 instance : (329,2)/1315.
# slope 141/44 : 1 instance : (141,44)/1318.
# slope 117/46 : 1 instance : (117,46)/1318.
# slope 173/3 : 1 instance : (173,3)/1319.
# slope 112/23 : 1 instance : (112,23)/1322.
# slope 140/59 : 1 instance : (140,59)/1324.
# slope 121/46 : 1 instance : (121,46)/1327.
# slope 139/32 : 1 instance : (139,32)/1331.
# slope 110/79 : 1 instance : (110,79)/1333.
# slope 128/45 : 1 instance : (128,45)/1334.
# slope 175/173 : 1 instance : (175,173)/1344.
# slope 645 : 1 instance : (645,1)/1349.
# slope 127/63 : 1 instance : (127,63)/1354.
# slope 119/15 : 1 instance : (119,15)/1359.
# slope 121/12 : 1 instance : (121,12)/1361.
# slope 104/53 : 1 instance : (104,53)/1369.
# slope 115/28 : 1 instance : (115,28)/1377.
# slope 151/27 : 1 instance : (151,27)/1378.
# slope 96/53 : 1 instance : (96,53)/1378.
# slope 95/64 : 1 instance : (95,64)/1378.
# slope 154/79 : 1 instance : (154,79)/1379.
# slope 114/23 : 1 instance : (114,23)/1379.
# slope 95/51 : 1 instance : (95,51)/1390.
# slope 159/31 : 1 instance : (159,31)/1394.
# slope 131 : 1 instance : (131,1)/1396.
# slope 143/142 : 1 instance : (143,142)/1406.
# slope 79/67 : 1 instance : (79,67)/1407.
# slope 622 : 1 instance : (622,1)/1408.
# slope 113/66 : 1 instance : (113,66)/1412.
# slope 134/45 : 1 instance : (134,45)/1421.
# slope 137/40 : 1 instance : (137,40)/1425.
# slope 115/26 : 1 instance : (115,26)/1431.
# slope 111/17 : 1 instance : (111,17)/1442.
# slope 92/91 : 1 instance : (92,91)/1447.
# slope 106/13 : 1 instance : (106,13)/1449.
# slope 149/10 : 1 instance : (149,10)/1456.
# slope 151/25 : 1 instance : (151,25)/1459.
# slope 134/61 : 1 instance : (134,61)/1461.
# slope 111/41 : 1 instance : (111,41)/1467.
# slope 131/4 : 1 instance : (131,4)/1470.
# slope 134/49 : 1 instance : (268,98)/1472.
# slope 97/64 : 1 instance : (97,64)/1479.
# slope 92/87 : 1 instance : (92,87)/1481.
# slope 127/4 : 1 instance : (127,4)/1483.
# slope 124/33 : 1 instance : (248,66)/1484.
# slope 117/73 : 1 instance : (117,73)/1485.
# slope 286/19 : 1 instance : (572,38)/1487.
# slope 121/75 : 1 instance : (121,75)/1487.
# slope 164/71 : 1 instance : (164,71)/1489.
# slope 89/83 : 1 instance : (89,83)/1500.
# slope 137/38 : 1 instance : (137,38)/1503.
# slope 117/55 : 1 instance : (117,55)/1508.
# slope 213/212 : 1 instance : (426,424)/1509.
# slope 136/33 : 1 instance : (136,33)/1509.
# slope 99/50 : 1 instance : (99,50)/1511.
# slope 126/37 : 1 instance : (126,37)/1514.
# slope 98/43 : 1 instance : (98,43)/1517.
# slope 122/55 : 1 instance : (122,55)/1521.
# slope 121/67 : 1 instance : (121,67)/1524.
# slope 85/84 : 1 instance : (85,84)/1533.
# slope 169/144 : 1 instance : (169,144)/1535.
# slope 106/99 : 1 instance : (106,99)/1536.
# slope 134/99 : 1 instance : (134,99)/1538.
# slope 122/83 : 1 instance : (122,83)/1541.
# slope 94/91 : 1 instance : (94,91)/1545.
# slope 96/95 : 1 instance : (96,95)/1552.
# slope 625/8 : 1 instance : (625,8)/1556.
# slope 83/69 : 1 instance : (83,69)/1556.
# slope 121/36 : 1 instance : (121,36)/1557.
# slope 109/51 : 1 instance : (109,51)/1561.
# slope 107/38 : 1 instance : (107,38)/1567.
# slope 125/36 : 1 instance : (125,36)/1573.
# slope 128/57 : 1 instance : (128,57)/1574.
# slope 113/67 : 1 instance : (113,67)/1575.
# slope 128/81 : 1 instance : (128,81)/1577.
# slope 179/55 : 1 instance : (179,55)/1580.
# slope 138/25 : 1 instance : (138,25)/1580.
# slope 97/61 : 1 instance : (97,61)/1580.
# slope 106/83 : 1 instance : (106,83)/1589.
# slope 101/36 : 1 instance : (101,36)/1596.
# slope 146/51 : 1 instance : (292,102)/1600.
# slope 138/31 : 1 instance : (138,31)/1620.
# slope 120/71 : 1 instance : (120,71)/1622.
# slope 154/131 : 1 instance : (154,131)/1624.
# slope 118/77 : 1 instance : (118,77)/1634.
# slope 112/69 : 1 instance : (112,69)/1635.
# slope 113/56 : 1 instance : (113,56)/1636.
# slope 116/25 : 1 instance : (116,25)/1647.
# slope 121/27 : 1 instance : (121,27)/1651.
# slope 119/64 : 1 instance : (119,64)/1651.
# slope 153/28 : 1 instance : (153,28)/1653.
# slope 113/55 : 1 instance : (113,55)/1655.
# slope 97/57 : 1 instance : (97,57)/1655.
# slope 85/69 : 1 instance : (85,69)/1656.
# slope 124/65 : 1 instance : (124,65)/1662.
# slope 119/66 : 1 instance : (119,66)/1662.
# slope 113/39 : 1 instance : (113,39)/1669.
# slope 177/10 : 1 instance : (177,10)/1671.
# slope 82/79 : 1 instance : (82,79)/1676.
# slope 119/5 : 1 instance : (119,5)/1680.
# slope 110/37 : 1 instance : (110,37)/1682.
# slope 133/89 : 1 instance : (133,89)/1683.
# slope 139/58 : 1 instance : (139,58)/1684.
# slope 101/47 : 1 instance : (101,47)/1688.
# slope 116/63 : 1 instance : (116,63)/1691.
# slope 106/25 : 1 instance : (106,25)/1693.
# slope 116/31 : 1 instance : (116,31)/1701.
# slope 149/59 : 1 instance : (149,59)/1705.
# slope 156/61 : 1 instance : (156,61)/1713.
# slope 215/21 : 1 instance : (215,21)/1720.
# slope 129/79 : 1 instance : (129,79)/1728.
# slope 108/37 : 1 instance : (108,37)/1730.
# slope 83/65 : 1 instance : (83,65)/1740.
# slope 139/2 : 1 instance : (139,2)/1746.
# slope 144/13 : 1 instance : (144,13)/1750.
# slope 79/75 : 1 instance : (79,75)/1757.
# slope 337/165 : 1 instance : (337,165)/1758.
# slope 137/17 : 1 instance : (137,17)/1760.
# slope 93/77 : 1 instance : (93,77)/1760.
# slope 113/90 : 1 instance : (113,90)/1762.
# slope 100/53 : 1 instance : (100,53)/1762.
# slope 131/16 : 1 instance : (131,16)/1767.
# slope 109/8 : 1 instance : (109,8)/1768.
# slope 179/19 : 1 instance : (179,19)/1770.
# slope 140/61 : 1 instance : (140,61)/1776.
# slope 135/98 : 1 instance : (135,98)/1778.
# slope 95/34 : 1 instance : (95,34)/1780.
# slope 188/31 : 1 instance : (188,31)/1787.
# slope 121/21 : 1 instance : (121,21)/1799.
# slope 99/52 : 1 instance : (99,52)/1799.
# slope 139/68 : 1 instance : (139,68)/1804.
# slope 91/71 : 1 instance : (91,71)/1819.
# slope 121/7 : 1 instance : (121,7)/1821.
# slope 106/77 : 1 instance : (106,77)/1824.
# slope 177/61 : 1 instance : (177,61)/1830.
# slope 153/13 : 1 instance : (153,13)/1831.
# slope 154/47 : 1 instance : (154,47)/1835.
# slope 111/53 : 1 instance : (111,53)/1837.
# slope 112/29 : 1 instance : (112,29)/1847.
# slope 157/36 : 1 instance : (157,36)/1850.
# slope 121/45 : 1 instance : (242,90)/1852.
# slope 139/80 : 1 instance : (139,80)/1853.
# slope 126/83 : 1 instance : (126,83)/1853.
# slope 117/56 : 1 instance : (117,56)/1856.
# slope 101/59 : 1 instance : (101,59)/1856.
# slope 123/44 : 1 instance : (123,44)/1857.
# slope 131/11 : 1 instance : (131,11)/1859.
# slope 116/45 : 1 instance : (116,45)/1860.
# slope 103/96 : 1 instance : (103,96)/1861.
# slope 149/27 : 1 instance : (149,27)/1866.
# slope 119/96 : 1 instance : (119,96)/1866.
# slope 95/61 : 1 instance : (95,61)/1868.
# slope 121/104 : 1 instance : (121,104)/1869.
# slope 106/87 : 1 instance : (106,87)/1876.
# slope 176/173 : 1 instance : (176,173)/1881.
# slope 106/81 : 1 instance : (106,81)/1882.
# slope 157/44 : 1 instance : (157,44)/1890.
# slope 88/49 : 1 instance : (88,49)/1892.
# slope 119/43 : 1 instance : (119,43)/1894.
# slope 85/67 : 1 instance : (85,67)/1894.
# slope 133/48 : 1 instance : (133,48)/1899.
# slope 159/11 : 1 instance : (159,11)/1900.
# slope 101/75 : 1 instance : (101,75)/1900.
# slope 113/75 : 1 instance : (113,75)/1906.
# slope 181/60 : 1 instance : (181,60)/1907.
# slope 127/48 : 1 instance : (127,48)/1907.
# slope 143/50 : 1 instance : (143,50)/1908.
# slope 120/7 : 1 instance : (120,7)/1909.
# slope 181/59 : 1 instance : (181,59)/1912.
# slope 145/9 : 1 instance : (145,9)/1915.
# slope 95/89 : 1 instance : (95,89)/1915.
# slope 101/87 : 1 instance : (101,87)/1922.
# slope 125/82 : 1 instance : (125,82)/1930.
# slope 147/47 : 1 instance : (147,47)/1943.
# slope 109/16 : 1 instance : (109,16)/1955.
# slope 123/91 : 1 instance : (123,91)/1962.
# slope 121/95 : 1 instance : (121,95)/1963.
# slope 129/14 : 1 instance : (129,14)/1967.
# slope 119/37 : 1 instance : (119,37)/1970.
# slope 143/21 : 1 instance : (143,21)/1973.
# slope 103/55 : 1 instance : (103,55)/1980.
# slope 128/39 : 1 instance : (128,39)/1981.
# slope 135/19 : 1 instance : (135,19)/1985.
# slope 131/56 : 1 instance : (131,56)/1986.
# slope 120/83 : 1 instance : (120,83)/1986.
# slope 137/14 : 1 instance : (137,14)/1993.
# slope 118/27 : 1 instance : (118,27)/1995.
# slope 143/17 : 1 instance : (143,17)/1998.
# slope 124/55 : 1 instance : (124,55)/2001.
# slope 153/23 : 1 instance : (153,23)/2011.
# slope 146/47 : 1 instance : (146,47)/2033.
# slope 81/79 : 1 instance : (81,79)/2033.
# slope 161/15 : 1 instance : (161,15)/2036.
# slope 123/14 : 1 instance : (123,14)/2039.
# slope 121/102 : 1 instance : (121,102)/2048.
# slope 165/47 : 1 instance : (165,47)/2054.
# slope 109/24 : 1 instance : (109,24)/2054.
# slope 109/89 : 1 instance : (109,89)/2078.
# slope 132/23 : 1 instance : (132,23)/2083.
# slope 125/12 : 1 instance : (125,12)/2086.
# slope 127/44 : 1 instance : (127,44)/2094.
# slope 110/91 : 1 instance : (110,91)/2099.
# slope 185/13 : 1 instance : (185,13)/2132.
# slope 109/9 : 1 instance : (109,9)/2133.
# slope 123/67 : 1 instance : (123,67)/2162.
# slope 107/69 : 1 instance : (107,69)/2168.
# slope 157/43 : 1 instance : (157,43)/2169.
# slope 93/71 : 1 instance : (93,71)/2172.
# slope 137/36 : 1 instance : (137,36)/2173.
# slope 176/51 : 1 instance : (176,51)/2199.
# slope 142/77 : 1 instance : (142,77)/2204.
# slope 127/41 : 1 instance : (127,41)/2215.
# slope 149/5 : 1 instance : (149,5)/2224.
# slope 155/39 : 1 instance : (155,39)/2227.
# slope 83/70 : 1 instance : (83,70)/2245.
# slope 109/36 : 1 instance : (109,36)/2246.
# slope 98/67 : 1 instance : (98,67)/2262.
# slope 141/119 : 1 instance : (141,119)/2275.
# slope 122/41 : 1 instance : (122,41)/2280.
# slope 117/43 : 1 instance : (117,43)/2286.
# slope 128/19 : 1 instance : (128,19)/2289.
# slope 130/59 : 1 instance : (130,59)/2319.
# slope 150/7 : 1 instance : (150,7)/2329.
# slope 138/53 : 1 instance : (138,53)/2329.
# slope 179/89 : 1 instance : (179,89)/2333.
# slope 103/64 : 1 instance : (103,64)/2370.
# slope 83/43 : 1 instance : (83,43)/2379.
# slope 111/92 : 1 instance : (111,92)/2383.
# slope 154/69 : 1 instance : (154,69)/2391.
# slope 171/70 : 1 instance : (171,70)/2393.
# slope 106/51 : 1 instance : (106,51)/2412.
# slope 169/47 : 1 instance : (169,47)/2416.
# slope 137/25 : 1 instance : (137,25)/2422.
# slope 117/29 : 1 instance : (117,29)/2426.
# slope 109/71 : 1 instance : (109,71)/2434.
# slope 94/61 : 1 instance : (94,61)/2440.
# slope 129/52 : 1 instance : (129,52)/2452.
# slope 136/95 : 1 instance : (136,95)/2454.
# slope 158/135 : 1 instance : (158,135)/2477.
# slope 124/75 : 1 instance : (124,75)/2491.
# slope 133/12 : 1 instance : (133,12)/2498.
# slope 206/21 : 1 instance : (206,21)/2517.
# slope 155/19 : 1 instance : (155,19)/2520.
# slope 93/79 : 1 instance : (93,79)/2526.
# slope 139/44 : 1 instance : (139,44)/2536.
# slope 151/30 : 1 instance : (151,30)/2539.
# slope 100/83 : 1 instance : (100,83)/2542.
# slope 87/80 : 1 instance : (87,80)/2548.
# slope 103/58 : 1 instance : (103,58)/2550.
# slope 91/61 : 1 instance : (91,61)/2551.
# slope 117/71 : 1 instance : (117,71)/2559.
# slope 100/69 : 1 instance : (100,69)/2564.
# slope 99/43 : 1 instance : (99,43)/2574.
# slope 131/120 : 1 instance : (131,120)/2591.
# slope 135/101 : 1 instance : (135,101)/2598.
# slope 132/17 : 1 instance : (132,17)/2600.
# slope 146/33 : 1 instance : (146,33)/2605.
# slope 148/81 : 1 instance : (148,81)/2606.
# slope 137/33 : 1 instance : (137,33)/2608.
# slope 148/33 : 1 instance : (148,33)/2616.
# slope 91/53 : 1 instance : (91,53)/2620.
# slope 137/29 : 1 instance : (137,29)/2635.
# slope 257/251 : 1 instance : (257,251)/2637.
# slope 110/97 : 1 instance : (110,97)/2643.
# slope 151/15 : 1 instance : (151,15)/2652.
# slope 105/38 : 1 instance : (105,38)/2713.
# slope 185/142 : 1 instance : (185,142)/2727.
# slope 116/105 : 1 instance : (116,105)/2750.
# slope 113/27 : 1 instance : (113,27)/2772.
# slope 88/85 : 1 instance : (88,85)/2800.
# slope 109/92 : 1 instance : (109,92)/2824.
# slope 1399 : 1 instance : (1399,1)/2848.
# slope 123/118 : 1 instance : (123,118)/2861.
# slope 134/11 : 1 instance : (134,11)/2868.
# slope 689/6 : 1 instance : (689,6)/2872.
# slope 133/50 : 1 instance : (133,50)/2874.
# slope 109/85 : 1 instance : (109,85)/2880.
# slope 219/82 : 1 instance : (219,82)/2881.
# slope 128/21 : 1 instance : (128,21)/2883.
# slope 203/92 : 1 instance : (203,92)/2903.
# slope 130/21 : 1 instance : (130,21)/2905.
# slope 126/103 : 1 instance : (126,103)/2917.
# slope 108/83 : 1 instance : (108,83)/2937.
# slope 153/67 : 1 instance : (153,67)/2970.
# slope 139/8 : 1 instance : (139,8)/2970.
# slope 129/28 : 1 instance : (129,28)/2974.
# slope 123/32 : 1 instance : (123,32)/2998.
# slope 131/50 : 1 instance : (131,50)/3028.
# slope 135/58 : 1 instance : (135,58)/3032.
# slope 159/23 : 1 instance : (159,23)/3033.
# slope 153/59 : 1 instance : (153,59)/3040.
# slope 169/31 : 1 instance : (169,31)/3048.
# slope 186/49 : 1 instance : (186,49)/3079.
# slope 195/41 : 1 instance : (195,41)/3098.
# slope 101/54 : 1 instance : (101,54)/3143.
# slope 121/65 : 1 instance : (121,65)/3152.
# slope 142/7 : 1 instance : (142,7)/3174.
# slope 96/85 : 1 instance : (96,85)/3189.
# slope 143/126 : 1 instance : (143,126)/3192.
# slope 93/44 : 1 instance : (93,44)/3202.
# slope 135/77 : 1 instance : (135,77)/3233.
# slope 139/50 : 1 instance : (139,50)/3237.
# slope 121/47 : 1 instance : (121,47)/3263.
# slope 131/7 : 1 instance : (131,7)/3277.
# slope 99/94 : 1 instance : (99,94)/3325.
# slope 128/31 : 1 instance : (128,31)/3347.
# slope 217/24 : 1 instance : (217,24)/3399.
# slope 144/53 : 1 instance : (144,53)/3445.
# slope 132/49 : 1 instance : (132,49)/3456.
# slope 127/40 : 1 instance : (127,40)/3537.
# slope 140/33 : 1 instance : (140,33)/3567.
# slope 140/71 : 1 instance : (140,71)/3583.
# slope 125/84 : 1 instance : (125,84)/3634.
# slope 160/109 : 1 instance : (160,109)/3650.
# slope 169/55 : 1 instance : (169,55)/3670.
# slope 163/72 : 1 instance : (163,72)/3676.
# slope 170/33 : 1 instance : (170,33)/3686.
# slope 924 : 1 instance : (924,1)/3688.
# slope 136/73 : 1 instance : (136,73)/3722.
# slope 221/81 : 1 instance : (221,81)/3785.
# slope 109/33 : 1 instance : (109,33)/3817.
# slope 267/110 : 1 instance : (267,110)/3823.
# slope 199/4 : 1 instance : (199,4)/3827.
# slope 189/59 : 1 instance : (189,59)/4125.
# slope 137/32 : 1 instance : (137,32)/4161.
# slope 100/93 : 1 instance : (100,93)/4208.
# slope 162/43 : 1 instance : (162,43)/4286.
# slope 101/71 : 1 instance : (101,71)/4308.
# slope 98/97 : 1 instance : (98,97)/4312.
# slope 113/74 : 1 instance : (113,74)/4519.
# slope 143/28 : 1 instance : (143,28)/4522.
# slope 163/16 : 1 instance : (163,16)/4595.
# slope 123/71 : 1 instance : (123,71)/4648.
# slope 172/49 : 1 instance : (172,49)/4714.
# slope 111/10 : 1 instance : (111,10)/4855.
# slope 151/127 : 1 instance : (151,127)/4889.
# slope 152/69 : 1 instance : (152,69)/5356.
# slope 105/64 : 1 instance : (105,64)/5364.
# slope 110/61 : 1 instance : (110,61)/5411.
# slope 138/11 : 1 instance : (138,11)/5890.
# slope 161/60 : 1 instance : (161,60)/5971.
# slope 206/115 : 1 instance : (206,115)/6545.
# slope 86/77 : 1 instance : (86,77)/6844.
# slope 161/53 : 1 instance : (161,53)/6862.
# slope 115/67 : 1 instance : (230,134)/7266.
# slope 185/91 : 1 instance : (185,91)/7816.
# slope 143/31 : 1 instance : (143,31)/7852.
# slope 172/31 : 1 instance : (172,31)/8055.
# slope 217/130 : 1 instance : (217,130)/28391.
Here is the example with the highest integer slope listed so far:

Code: Select all

#C An oblique spaceship with slope 1399
#C Source: https://github.com/AforAmpere/sssss/
#C [[ MAXGRIDSIZE 14 ZOOM 8 X -12 Y 0 THEME MCell TRACKLOOP 2848 1399/2848 1/2848 ]]
x = 7, y = 6, rule = B2i34cjq5kny6-n78/S3-jkq4aikqrz5cky678
2bob2o$2ob2obo$7o$5obo$2b2obo$bob2o!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
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Re: Thread for basic non-CGOL questions

Post by pifricted »

Can LongLife have any spaceships?
Let me take the answer: No?

We know:
If we want let partterns escape the bounding box, the rule must have one of B2a,B2c and B3i.For totalistic rules, this is rounded up to B2 or B3.
If we want let partterns escape the bounding diamond, the rule must have one of B2e,B2a and B3a,For totalistic rules, this is rounded up to B2 or B3.

Then this happened in Long life:

Code: Select all

x = 65, y = 6, rule = B345/S5
60bobo$59b2obobo$b6o13b10o10b9o13bobo$2o4b2o51b4o2$60b2o!
The line of n become The line of n-2 in next gen, untill n=1 or 2.
And B3a can't work with B3i, the pattern dosen't have B3a conditions in the next gen.

So LongLife can't escape the bounding diamond, and can't have spaceship.

edit: In Assimilation, B3a can't also work with B3i.So Assimilation can't escape the bounding diamond, and can't have spaceship.

Code: Select all

x = 65, y = 6, rule = B345/S4567
60bobo$59b2obobo$b6o13b10o10b9o13bobo$2o4b2o51b4o2$60b2o!
Last edited by pifricted on August 10th, 2024, 3:08 am, edited 3 times in total.
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Re: Thread for basic non-CGOL questions

Post by b-engine »

Citation needed wrote: August 1st, 2024, 5:26 am This page claims that Langton's Ant is Turing Complete. Is that so?
Langton's ant is a 2D equivalent of Busy Beavers, which is also Turing Complete. Using the diagonal ladders you may can make signal logics in Langton's ant.
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Re: Thread for basic non-CGOL questions

Post by H. H. P. M. P. Cole »

pifricted wrote: August 10th, 2024, 1:52 am Can LongLife have any spaceships?
So LongLife can't escape the bounding diamond, and can't have spaceship.
Layz Boi wrote: May 4th, 2020, 9:53 pm I believe the statement about the impossibility of any pattern in B345/S5 moving more than 2 cells outside of its initial bounding diamond is wrong.
The thing is, you aren't forced to go from bounding diamond size (B) on generation 0, to B+1 on generation 1 to B+2 on generation 2 to B+3 on generation 3 etc... You can have any number of generations between say B and B+1.

Here's a pattern I posted earlier this year.

Code: Select all

x = 32, y = 32, rule = B345/S5
14b4o$13b6o$12b3o2b3o$11b3ob2ob3o$10b4ob2ob4o$9b3o2bo2bo2b3o$8b3ob2ob
2ob2ob3o$7b5ob2o2b2ob5o$6b3o2b3ob2ob3o2b3o$5b3obob2ob4ob2obob3o$4b4o3b
10o3b4o$3b3ob5o2bo2bo2b5ob3o$2b3obob3ob2o4b2ob3obob3o$b4ob3obob2o4b2o
bob3ob4o$3o2bobob3o2b4o2b3obobo2b3o$2ob2obob3o3bo2bo3b3obob2ob2o$2ob2o
bob3o3bo2bo3b3obob2ob2o$3o2bobob3o2b4o2b3obobo2b3o$b4ob3obob2o4b2obob
3ob4o$2b3obob3ob2o4b2ob3obob3o$3b3ob5o2bo2bo2b5ob3o$4b4o3b10o3b4o$5b3o
bob2ob4ob2obob3o$6b3o2b3ob2ob3o2b3o$7b5ob2o2b2ob5o$8b3ob2ob2ob2ob3o$9b
3o2bo2bo2b3o$10b4ob2ob4o$11b3ob2ob3o$12b3o2b3o$13b6o$14b4o!
77topaz wrote: May 5th, 2020, 12:50 am Yeah, that pattern expands three cells outside its initial bounding diamond, so it's a definite counterexample to LaundryPizza03's assertion as stated. The question of whether spaceships would be possible in LongLife or not thus remains undetermined.
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Re: Thread for basic non-CGOL questions

Post by pifricted »

H. H. P. M. P. Cole wrote: August 10th, 2024, 2:18 am
Layz Boi wrote: May 4th, 2020, 9:53 pm Here's a pattern I posted earlier this year.

Code: Select all

x = 32, y = 32, rule = B345/S5
14b4o$13b6o$12b3o2b3o$11b3ob2ob3o$10b4ob2ob4o$9b3o2bo2bo2b3o$8b3ob2ob
2ob2ob3o$7b5ob2o2b2ob5o$6b3o2b3ob2ob3o2b3o$5b3obob2ob4ob2obob3o$4b4o3b
10o3b4o$3b3ob5o2bo2bo2b5ob3o$2b3obob3ob2o4b2ob3obob3o$b4ob3obob2o4b2o
bob3ob4o$3o2bobob3o2b4o2b3obobo2b3o$2ob2obob3o3bo2bo3b3obob2ob2o$2ob2o
bob3o3bo2bo3b3obob2ob2o$3o2bobob3o2b4o2b3obobo2b3o$b4ob3obob2o4b2obob
3ob4o$2b3obob3ob2o4b2ob3obob3o$3b3ob5o2bo2bo2b5ob3o$4b4o3b10o3b4o$5b3o
bob2ob4ob2obob3o$6b3o2b3ob2ob3o2b3o$7b5ob2o2b2ob5o$8b3ob2ob2ob2ob3o$9b
3o2bo2bo2b3o$10b4ob2ob4o$11b3ob2ob3o$12b3o2b3o$13b6o$14b4o!
77topaz wrote: May 5th, 2020, 12:50 am Yeah, that pattern expands three cells outside its initial bounding diamond, so it's a definite counterexample to LaundryPizza03's assertion as stated. The question of whether spaceships would be possible in LongLife or not thus remains undetermined.
Wait, doesn't "bounding diamond" means these?

Code: Select all

x = 73, y = 10, rule = B3/S23
o2b2o3bo4b2o5bo6b2o7bo8b2o9bo10b2o$3b2o2bobo2bo2bo3bobo4bo2bo5bobo6bo
2bo7bobo8bo2bo$8bo3bo2bo2bo3bo2bo4bo3bo3bo4bo4bo5bo3bo6bo4bo$13b2o4bo
bo3bo4bo2bo5bo2bo6bo3bo5bo4bo6bo$20bo5bo2bo4bo3bo3bo6bo2bo7bo2bo8bo$27b
2o6bobo5bo4bo4bo5bo3bo8bo$36bo7bo2bo6bo3bo5bo6bo$45b2o8bobo7bo4bo$56b
o9bo2bo$67b2o!
We still don't have any ways to get the line of n+x to expands the pattern outside its initial bounding diamond.

Also, expands from the diamond edge is also inpossible:

Code: Select all

x = 10, y = 9, rule = B345/S5
8b2o$7b2o$6b2o$5b2o$4b2o$3b2o$2b2o$b2o$2o!
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Re: Thread for basic non-CGOL questions

Post by May13 »

pifricted wrote: August 10th, 2024, 1:52 am Can LongLife have any spaceships?
Let me take the answer: No.
c/9d partial:
May13 wrote: June 21st, 2021, 11:00 pm ...
Potential c/9d engine in LongLife from rlifesrc (pretty strong shift for this CA!)

Code: Select all

x = 18, y = 18, rule = B345/S5
9bobobo3bo$7bobob2o3b2o$5bobob8o$4b3o2bo3b3obo$3b4ob3o4bobo$2b4obob3o
2b2o$3b2o3b3ob2o$b2o2bobo3b3o$4bobobob2obo$7o2b4o$2bob3ob2ob2o$3o2bob
4o$b2o3b2ob2o$ob2o2b3o$2b2obo$2b4o$b2o$2ob2o!
...
Are you sure that there are no spaceships with speeds c/9d, c/11d, c/13d, etc.?
Edit: here's c/9d frontend partial from JavaLifeSearch (just for demonstration):
c9d.PNG
c9d.PNG (49.47 KiB) Viewed 3913 times
Spaceship databases:
new-gliders.db (30683 gliders, square grid)
hex-gliders.db (668 gliders, hexagonal grid)
My scripts: new-glider.py v0.2, nbsearch2a.py, collector.py v0.3

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Re: Thread for basic non-CGOL questions

Post by pifricted »

May13 wrote: August 10th, 2024, 2:40 am
pifricted wrote: August 10th, 2024, 1:52 am Can LongLife have any spaceships?
Let me take the answer: No.
c/9d partial:
May13 wrote: June 21st, 2021, 11:00 pm ...
Potential c/9d engine in LongLife from rlifesrc (pretty strong shift for this CA!)

Code: Select all

x = 18, y = 18, rule = B345/S5
9bobobo3bo$7bobob2o3b2o$5bobob8o$4b3o2bo3b3obo$3b4ob3o4bobo$2b4obob3o
2b2o$3b2o3b3ob2o$b2o2bobo3b3o$4bobobob2obo$7o2b4o$2bob3ob2ob2o$3o2bob
4o$b2o3b2ob2o$ob2o2b3o$2b2obo$2b4o$b2o$2ob2o!
...
Are you sure that there are no spaceships with speeds c/9d, c/11d, c/13d, etc.?
Edit: here's c/9d frontend partial from JavaLifeSearch (just for demonstration):
c9d.PNG

Code: Select all

x = 77, y = 5, rule = B345/S5History
45.32D$A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.E.E3.E$A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.2E.3E$70.E.5E$72.5E!
It make a donimo and expand one cell.May possible in this way.
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Re: Thread for basic non-CGOL questions

Post by Citation needed »

pifricted wrote: August 10th, 2024, 1:52 am
So LongLife can't escape the bounding diamond, and can't have spaceship.

LongLife with B3 can do so just like Life. (citation needed)
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Re: Thread for basic non-CGOL questions

Post by pifricted »

Citation needed wrote: August 12th, 2024, 10:09 am
pifricted wrote: August 10th, 2024, 1:52 am
So LongLife can't escape the bounding diamond, and can't have spaceship.

LongLife with B3 can do so just like Life. (citation needed)
(Found the growing mode)
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Re: Thread for basic non-CGOL questions

Post by WhiteHawk »

What is the closest rule to life (outer-totalistic and/or isotropic non-totalistic) which possesses a known stable spaceship turner that isn't snark, snark64, or alien evolutions of either?

EDIT: Is there any partial to a stable glider turner in Highlife? Or even some potential reaction that may be helpful?
Last edited by WhiteHawk on August 13th, 2024, 12:07 pm, edited 3 times in total.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Thread for basic non-CGOL questions

Post by confocaloid »

WhiteHawk wrote: August 12th, 2024, 10:43 pm What is the closest rule to life (outer-totalistic and/or isotropic non-totalistic) which possesses a stable ship turner (not snark, snark64, or alien)?
[...]
I think you need to elaborate.

What do you mean by "(not snark, snark64, or alien)"? Are you looking for a cellular automaton where some other stable glider reflector from Conway's Life works unchanged, excluding the Snark and the Snark64? Or you are looking for a cellular automaton where some alien stable spaceship reflector exists?

(Unfortunately, forum jargon makes this question somewhat more confusing. The ship is a 6-bit still life, which doesn't exist e.g. in HighLife (which is also mentioned in your post). However, there may well be stable spaceship reflectors in HighLife, it's just that no such devices are known yet, as far as I can tell.)
WhiteHawk wrote: August 12th, 2024, 10:43 pm[...]
EDIT: Is there any partial to a stable glider turner in Highlife? Or even some potential reaction that may be helpful?
Regarding stable glider reflectors or stable glider duplicators, below is quoted the most relevant forum post I can remember:
affamatodidio wrote: April 28th, 2023, 7:25 am Funny G-Pi I forgot to crosspost from a while back, probably known.

Code: Select all

x = 14, y = 16, rule = B36/S23
9bo$8bo$8b3o5$6b2o$5bo2bo$5bo2bo$6b2o2$2b2o2b2o2b2o$2bo3b2o3bo$obo8bo
bo$2o10b2o!
Pond puffer:

Code: Select all

x = 31, y = 31, rule = B36/S23
7b3o$6bo3bo$6bo4bo$6bo2bo2bo$7bo4bo$8bo3bo9b2o$3o6b3o9b2o$22b2obo$23b
3o$24bo3$4bo$3b3o$2b2ob2o$3b3o$4bo2$25b3o$24bo3bo$24bo4bo$6bo17bo2bo2b
o$5b3o17bo4bo$5bob2o17bo3bo$8b2o6bo10b3o$7b2o6b3o$14b2ob2o$15b3o$16bo
7bo$24bo$24bo!
<off-topic> Love highlife, trying to find a pi -> 2g so that a stable glider splitter is easy. </off-topic>
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Re: Thread for basic non-CGOL questions

Post by WhiteHawk »

confocaloid wrote: August 13th, 2024, 10:29 am I think you need to elaborate.
Okay. Fixed my comment.

Also, forgot about the g-to-pi in Highlife, although I suppose it's useless without a pi to g that doesn't reflect it 90 or 180 degrees, or even an object which can perturb it without modifying the already low clearance.
'
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Re: Thread for basic non-CGOL questions

Post by confocaloid »

WhiteHawk wrote: August 13th, 2024, 12:04 pm [...] Okay. Fixed my comment. [...]
Silver's reflector continues to function in B3/S234c:

Code: Select all

x = 66, y = 91, rule = B3/S234c
54b2o$54b2o2$22bo$20b3o$4bo14bo$4b3o12b2o$7bo$6b2o3$7b2o$7b2o17b2o$26b
2o2$64b2o$64b2o3$23b2o$23bo19b2o$25bo16bobo$24b2o16bo$20b2o19b2o$20bo
$21b3o$23bo6$29b2o$29bo$10b2o15bobo$10b2o15b2o12$9b2o$8bobo$8bo$7b2o9$
19b2o$19b2o6$8b2o$9bo19b2o$9bobo17bo$10b2o15bobo$22bo4b2o$21bobo$21bo
bo$10b2o10bo$9bobo$9bo$8b2o$23b2o$23bo$24b3o$26bo8$b2o$obo$2bo!
Silver's reflector is neither Snark, nor Snark64, nor an alien variant of either of those; and B3/S234c is, arguably, the CA closest to Conway's Life within the isotropic two-state range-1 Moore neighbourhood rulespace. So I guess it matches your request.
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Unlikely events happen.
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Re: Thread for basic non-CGOL questions

Post by WhiteHawk »

confocaloid wrote: August 13th, 2024, 12:27 pm
Silver's reflector continues to function in B3/S234c:
How about the nearest rule with a reaction which doesn't work at all in B3/S23
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Re: Thread for basic non-CGOL questions

Post by confocaloid »

WhiteHawk wrote: August 13th, 2024, 12:35 pm
confocaloid wrote: August 13th, 2024, 12:27 pm
Silver's reflector continues to function in B3/S234c:
How about the nearest rule with a reaction which doesn't work at all in B3/S23
It should be possible to engineer a stable glider reflector that works in B3/S234c but fails in B3/S23. Arrange some glider duplicators and reflectors to create a glider collision that creates an escaping sideways glider in B3/S234c, but vanishes in B3/S23. Then the resulting device will be a glider reflector in B3/S234c, but it will be a mere glider eater in B3/S23.

I'm pretty sure that there is also an elementary (indivisible) stable glider reflector that works in B3/S234c but fails in B3/S23, but that would take nontrivial efforts to discover.
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Unlikely events happen.
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Re: Thread for basic non-CGOL questions

Post by EvinZL »

WhiteHawk wrote: August 13th, 2024, 12:35 pm
confocaloid wrote: August 13th, 2024, 12:27 pm
Silver's reflector continues to function in B3/S234c:
How about the nearest rule with a reaction which doesn't work at all in B3/S23
Surely contraptions based on the pedestrian life syringe count?
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Re: Thread for basic non-CGOL questions

Post by WhiteHawk »

EvinZL wrote: August 13th, 2024, 2:10 pm
Surely contraptions based on the pedestrian life syringe count?
I suppose that does fit what I've described, but it's not really what I had in mind. Perhaps I should specify that I would like it to do something like how the snark takes a block glider-to-honey farm reaction and then outputs a spaceship which can travel the plane unaided, rather than a conduit which takes spaceship inputs and uses a supported moving reaction to produce more spaceship.
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Re: Thread for basic non-CGOL questions

Post by ennghallie-AJ »

What is the period of this oscillator?

Code: Select all

 
x = 162, y = 82, rule = PCA_13
38.14P$35.3P14.5P$33.2P22.5P$31.2P29.5P$30.P36.5P$23.4P.2P42.3P$23.P2.
2P47.3P$23.P54.2P$22.2P56.3P$21.P2.P58.2P$20.P3.P60.3P$18.2P4.P17.22P
24.2P$17.P6.P14.3P11.10P27.2P$16.P7.P12.2P8.6P18.9P12.P$15.P8.P10.2P7.
3P31.2P2.7P4.P$14.P10.P8.P6.3P38.3P9.P$14.P10.P7.P6.P44.2P7.5P$13.P11.
P6.P54.2P7.P2.4P$12.P12.P5.P57.3P5.2P4.2P$11.P13.P5.3P58.2P5.P5.2P$10.
P14.P6.3P.P40.6P11.2P4.P6.P$9.P15.P5.2P3.P36.4P5.P13.P4.P6.2P$8.P16.P
4.2P3.P35.2P4.3O.P15.2P11.P$7.P17.P3.2P4.P33.2P2.7O.P29.P$7.P17.P2.2P
5.P31.2P2.8O.P20.P.P8.2P$6.P18.P.2P6.P29.2P2.10O.P21.P.P9.P$5.P28.P28.
2P2.11O.P23.P.P9.P$4.P19.P9.P26.2P2.12O.P25.P.P9.P$4.P18.2P.P7.P24.2P
2.13O.P27.P.P9.P$3.P18.P3.P7.P22.2P2.14O.P28.P.P10.P$2.P18.2P3.P7.P20.
2P2.15O.P30.P.P9.44P$2.P17.2P4.P6.P20.P2.16O.P31.P.P52.P$2.P16.2P6.P5.
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29.P$.P7.2P.P15.P3.P8.P2.18O.P45.2P12.P28.P$.P6.P2.P16.P3.P6.2P.18O2.
P46.2P12.P27.P$.P5.P2.P17.P3.P5.P2.18O.2P61.P26.P$.P4.P3.P18.P3.P2.2P
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P24.P$.P2.P3.P21.P.P3.16O2.2P66.P23.P$.3P4.P27.14O2.2P68.P22.P$3.P3.P
27.P.11O2.2P70.P21.P$4.P.P21.P2.P3.P.10O.2P72.P20.P$5.2P19.2P3.P4.P.7O
2.P62.2P10.P19.P$6.14P5.P5.P4.P.5O2.2P63.2P9.P19.P$7.P12.2P.2P7.P4.P.
2O2.2P65.2P8.P19.P$8.P13.P9.P4.P.O.2P67.2P8.P18.P$9.2P21.P6.2O69.P.P6.
P17.2P$11.P21.P2.3P.O69.P.P5.P16.2P$12.2P19.3P3.O70.P2.P3.P16.P$14.3P
13.4P6.P69.P2.P3.P15.P$17.4P4.5P4.P6.P68.P3.P16.2P$21.4P9.P6.P67.P7.2P
9.3P$34.P7.P66.P4.P4.9P$35.P7.P65.P4.P3.P$35.P8.P64.P3.P.4P$36.P8.2P62.
P2.P$36.P10.2P61.2P$37.P11.P59.P$38.P11.P57.P$39.P11.P56.P$39.P12.2P54.
P$40.P13.2P46.P5.P$41.P14.2P40.3P2.P4.P$42.P15.2P34.4P3.2P5.P$43.P16.
3P29.2P5.2P7.P$44.P18.14P6.9P5.2P9.P$45.P31.6P12.2P11.P$46.P46.2P2.12P
$47.2P41.3P$49.P37.3P$50.2P33.2P$52.2P29.2P$54.4P20.5P$58.20P!
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confocaloid
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Re: Thread for basic non-CGOL questions

Post by confocaloid »

Is there a two-state range-1 cellular automaton allowing precisely one 21-bit strict still life? (Nothing is said about existence of smaller or larger strict SLs, or about existence of non-strict SLs.)

Context (WAO thread): viewtopic.php?p=192501#p192501
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H. H. P. M. P. Cole
Posts: 484
Joined: July 15th, 2023, 9:36 pm

Re: Thread for basic non-CGOL questions

Post by H. H. P. M. P. Cole »

confocaloid wrote: August 21st, 2024, 1:26 am Is there a two-state range-1 cellular automaton allowing precisely one 21-bit strict still life? (Nothing is said about existence of smaller or larger strict SLs, or about existence of non-strict SLs.)

Code: Select all

x = 5, y = 5, rule = B/S4a5i7c8
b3o$5o$5o$5o$b3o!
Any SL in this rule would (probably) necessarily be an nxm rectangle with the corners removed, where n, m >= 4. The only possible values of n, m >= 4 where

Code: Select all

n*m-4 = 21
would be:

Code: Select all

n = 5, m = 5
therefore making the SL above (probably) the only 21-cell strict SL in this rule.

EDIT: One can add B2-a to this rule without affecting this SL's status as (probably) the only 21-cell SL in the rule:

Code: Select all

x = 5, y = 5, rule = B2-a/S4a5i7c8
b3o$5o$5o$5o$b3o!
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