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Thread For Your Accidental Discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: Thread For Your Accidental Discoveries

Postby Sokwe » September 30th, 2012, 5:06 pm

I recently noticed a surprisingly simple, natural transparent block reaction that destroys the block from the B-heptomino:
*......
.*.....
.**....
**.....
*......
.......
.......
.....**
.....**

I've had some trouble making anything useful out of this, but I managed to get this slow, bulky B-->R-->H converter:
x = 89, y = 64, rule = LifeHistory
72.F6$14.A$13.A.A64.F$14.A3$8.2A$8.2A23.2A$2A31.A$.A29.A.A$.A.A27.2A$
2.2A4.2A$8.2A2$42.2A$2A40.A$A39.A.A$2.A.2A34.2A$.2A.2A62.2A$22.2A44.
2A$.2A.2A16.2A53.2A$2.A.A62.3D7.A.A$2.A.A63.D10.A$3.A62.3D10.2A$76.2A
.A$76.A2.A$74.A.A2.2A$74.2A4$29.2A$29.2A4$31.2A$30.A.A$30.A$29.2A2$
67.D$66.3D$68.D2$72.A$71.A.A$71.A2.A$40.2A30.2A7.2A$40.2A39.A.A$83.A$
62.2A19.2A$46.E13.A2.A22.D$45.3E12.3A$44.2E2.E16.2A18.D2.D$60.2A.A2.A
$61.A.2A22.D$61.A$60.2A!


There is also this B-->G based on the same reaction:
x = 42, y = 34, rule = LifeHistory
31.A$29.3A$28.A$28.2A$13.A$12.A.A$12.2A2$.2A$2.A$2.A.A$3.2A4$39.D$37.
D.D$38.2D$2.2A$.A.A37.F$.A$2A6$9.2A$9.2A3$15.E$14.3E$13.2E2.E!

This is compatible with Gaum's new B-->Pi with a known Pi-->B reaction in between:
x = 47, y = 42, rule = LifeHistory
19.F2$15.3D$17.D$16.D6$2A$.A$.A.A$2.2A6$44.A$34.2A6.3A$34.2A5.A$41.2A
2$33.D$32.D7.2A$31.2D.3D3.2A$5.A26.3D.D$4.A.A26.2D.D$5.2A$40.2A$27.2A
11.2A$27.2A$43.2A$43.A.A$35.E9.A$34.3E8.2A$10.2A21.2E2.E3.2A$11.A6.2A
21.A.A$8.3A7.A24.A$8.A10.3A21.2A$21.A!


@Guam,
Do you think you could do anything with this? This might be a good starting point to consider:
x = 19, y = 24, rule = B3/S23
o$bo$b2o$2o$o3$5b2o$5b2o7$17b2o$12b2o3b2o$12b2o3$11b2o$12bo4b2o$9b3o5b
2o$9bo!


Edit: This post went onto a new page, so in the interest of not burying Guam's new reflector, here is a link to his post.
-Matthias Merzenich
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Re: Thread For Your Accidental Discoveries

Postby Jackk » October 3rd, 2012, 12:41 pm

A fun little reaction:

x = 11, y = 10, rule = B3/S23
bo$bo$obo$bo$bo$bo7bo$bo5bobo$obo5bobo$bo6bo$bo!
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Re: Thread For Your Accidental Discoveries

Postby Jackk » October 6th, 2012, 10:03 am

Also:
x = 9, y = 15, rule = B3/S23
bo$2b2o$2o$2bo3$6bo$6b3o$6bobo$8bo3$4bo$3bobo$4bo!


I wish clocks were easier to construct :(
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Re: Thread For Your Accidental Discoveries

Postby skomick » October 6th, 2012, 4:39 pm

More clock --> glider:
x = 138, y = 162, rule = B3/S23
39b2o$38b2ob2o$39b4o$30b4o6b2o$29b6o10b2o$28b2ob4o12bo$29b2o14b3o3$20b
4o8b2o$20bo3bo9bo$20bo11b2o$21bo2bo2b2o5b3o6bo3bo$26b3o6b3o5b4o$21bo2b
o2b2o5b3o7b2o$20bo11b2o$20bo3bo9bo$20b4o17b2o$39bo$40bobo$34b2o5bo$33b
4o$32b2ob2o$33b2o12bo$46bo$46b3o3$36b2o$35b2ob2o13bo$36b4o12bo$37b2o7b
2o4b3o$38bo7b2o$36bo3bo8bo$35bo5bo7b3o$35bo5bo7bo$35b6o5$65bo$64bo$64b
3o2$5b3o$4b5o$3b2ob3o$4b2o15b4o$21bo3bo$21bo$5bo16bo2bo$3bo5bo$2bo7b2o
10bo$2bo7bobo8bobo$2b3o7b2o6b2ob2o$11b2o7b2obo$19bo2bo$20b2o2$4o5b2o
35bo$o3bo3b2ob2o26bo4bo3bo$o8b4o7b2o15bobo8bo$bo2bo5b2o7b2ob3o13b2o3bo
3bo$20b5o6b2o10b3o$21b3o5bo4bo$28bo12bo$28bo6bo7b2o$28b8o3bo3b2o$33b2o
4b2obobo8bo$39b2ob2o9bo$40b3o$29b2o10bo$28b2ob2o101b2o$29b4o99bo4bo$
30b2o99bo$131bo5bo$131b6o18$31b2o$30b2ob2o$31b4o$32b2o7b2o$33bo7bob2o
9b2o$31bo3bo6b3o8bo$30bo5bo5bobo9bo3bo$30bo5bo5bobo13bo$30b6o6b2o3b2o
8bo$43b2o$22b2o20b2o$21b2ob3o17bo5bo$2b4o5b2o9b5o11b3o4b2o2bo$2bo3bo3b
2ob2o8b3o14bo6b2o$2bo8b4o24bo$3bo2bo5b2o$21b2o$7bo13b2o$5bo2bo3bo8bo2b
o$4bo7b2o8b3o$4bo6b2o10bo$4b2ob5o$6bo58b2o$7b2o56bobo$23b4o38bo$7b3o
13bo3bo$6b5o12bo$5b2ob3o13bo2bo11b2o$6b2o29bo$36bo6b2o3b2o$36bo7bo2bo$
36b12ob2o$41b2o2b2ob3o$46bobo$47bo5b2o$37b2o14bobo$36b2ob2o12bo$37b4o$
38b2o2$47b2o$35b2o10bobo$34b4o9bo$33b2ob2o$34b2o2$41b2o$22bo2bo14b2o$
21bo17bo$21bo3bo7bo6bo$21b4o4bo3b3o$27b2o5b2o$27b3o6bo7bo2bo$27b2o5b2o
7b3obo$21b4o4bo3b3o8bobo$21bo3bo7bo9bo$21bo$22bo2bo$31b4o$30b6o8bob2o$
29b2ob4o9b2o$30b2o12bo2$40b2o$39b2ob2o$40b4o$41b2o!
Shannon Omick
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Re: Thread For Your Accidental Discoveries

Postby Jackk » October 7th, 2012, 8:23 am

Maybe this is more feasible - boat ==> glider:

x = 8, y = 14, rule = B3/S23
2o$obo$bo3$5bo$5b3o$5bobo$7bo3$3bo$2bobo$3bo!
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Re: Thread For Your Accidental Discoveries

Postby dvgrn » October 11th, 2012, 1:52 am

I've been looking back over Herschel-related Life discoveries from the past year or two. A lot of very interesting new stuff has cropped up! I'll have to put together a new version of Hersrch at some point, if I can ever figure out how many new Herschel conduits there are... many of the new discoveries seem like they might be just a bit too large or recover too slowly to be really commonly useful, though each one will certainly be an improvement for some particular Herschel wiring problem.

For a long time I've been tempted to work on a crazy-comprehensive version of Hersrch with (for example) support for the first 25-or-so lengths of each type of Herschel transceiver, plus a few dozen oversized Herschel conduits where some cleanup gets done with 180-degree glider reflectors... But then it's awfully hard to know where to stop!

Guam wrote:A modified version of the Buckingham's B to J converter (may be unknown).
x = 12, y = 7, rule = B3/S23
8b2o$8b2o$b2o$bo8bo$2bo6b3o$obo5b2obo$2o!

Just a side note: the above substitution is not too well known, I guess, but it has been around a while. Stephen Silver mentioned it back in 2000, for example, and very occasionally it allows a Herschel circuit to fit in very close quarters; the shillelagh doesn't stick out as far as a snake / aircraft carrier / reversed eater / hat or what have you.
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Re: Thread For Your Accidental Discoveries

Postby Guam » October 13th, 2012, 3:59 pm

Glider to block (found by using dr):
x = 20, y = 32, rule = B3/S23
3b2o$3b2o2$3b4o$2bo3bo$bobo$bobo$2bo6$2o$2o16b2o$7bobo8b2o$7b2o$8bo2$
7b2o$7b2o3$4b2o$4bo$2bobo$2b2o4$10b2o$10b2o!
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Re: Thread For Your Accidental Discoveries

Postby Sokwe » October 14th, 2012, 2:45 am

Guam wrote:Glider to block (found by using dr)

That is a surprisingly simple reaction that may have some other uses. MikeP noticed that this same still life can eat a pre-Herschel:
x = 9, y = 11, rule = B3/S23
2b2o$2b2o2$2b4o$bo3bo$obo$obo3bo$bo2b2ob2o$4b2ob2o$3b3obo$6b3o!


One way to possibly get a fast stable reflector is to start with a glider releasing reaction and use sacrificial blocks to restore the original still life, like this example by Dietrich Leithner:
x = 16, y = 21, rule = B3/S23
o$3o$3bo$2b2o3$5bo$4bo$4b3o2$12b2o$5b2o5bobo$5b2o7bo$14b2o6$6b2o$6b2o!

(Note that the seed still life for this type reaction could be a block, boat, beehive, loaf, or even a lucky constellation)

A drifter search might then be able to find a replacement for the sacrificial block (unfortunately, I don't think it will work in this case). There are some limitations to dr that make it difficult to use for this (perturbations must be small and compact), but MikeP's program avoids those issues. Unfortunately, I have not seen him around here in a while.

Edit: I tried a similar thing recently with sparks instead of sacrificial blocks and found these new reflectors that work at periods 52 and 58 respectively (p52 significantly improved by Karel Suhajda):
x = 118, y = 44, rule = B3/S23
104bo$102b2o$31bobo69b2o$31b2o$32bo4$14bo$14b3o14b2o2b2o$17bo12bo2bo2b
o$16b2o12bob2obo8bo36b2o$29b2o2bob4o3b3o37bo$28bo2bobo5bobo40bobo$28b
2o2bo2b5obo2b3o36b2o$18bobo7bo3bo2bobo3bobobobo40bobo$18b2o8bo7b3o2bo
2bob2o40b2o8b2o$19bo8bo3bobobo7b2o43bo8b2o$29bo2bo4b6obo$19b2o10bo2b3o
6bo2bo34b2o6b2o$19b2o11b2o3bo2b2obob2o34b2o6b2o$27bo5bo2bo3bo2bo$27b3o
3bobo6b2o26bo7bo20bo7bo$30bo3bo34bobo5bobo18bobo5bobo$8b2o17bo42bo7bo
20bo7bo$3b2o2bo2bo15bo3bo$3bo4bobo16bobo$2obo5bo17b2o$bobob2o20b2o4bob
o34b3o3b3o3bo2b2o4b2o2bo3b3o3b3o$o2bo2bo8b2o5b2o8bo3bo44bo3b3o2b3o3bo$
2o2bo4bo5bobo4b2o6b2o4bo26b2o5bobo3bobo3bo2b2o4b2o2bo3bobo3bobo5b2o$5b
5o7bo12b3obob2o25bo7bo5bo22bo5bo7bo$16bo16bo26b2obo50bob2o$7bo9b3o40bo
2b3o46b3o2bo$6bobo10bo41b2o4bo13b2o12b2o13bo4b2o$7bo20b2o33b5o13bobo
10bobo13b5o$28b2o33bo4b2o13bo10bo13b2o4bo$64b2o2bo7b2o5b2o8b2o5b2o7bo
2b2o$66bobobo5b2o22b2o5bobobo$66bobobo2bo30bo2bobobo$67b2ob4o30b4ob2o$
69bo38bo$69bobo34bobo$70b2o34b2o!

Karel also found a p4 variant of the first one:
x = 58, y = 35, rule = B3/S23
31bobo$31b2o8bobo$32bo7bob2o$38b3o5bo$37bo3b8o$34bo3b2o9bo$14bo19bo4b
5ob4obo$14b3o17bo6bo3bo4bo2b2o$17bo14bo2bo3bobobo3b2obobobo$16b2o12b3o
2bo7b2obo3bobo$28bob2ob3obo6bob2o2b2obo2b2o$27bo2b2o2bo3b3ob4o11bo$27b
2o4b3o5b2o7b7o$18bobo7bobo2b4o14bo$18b2o9bo7bo11bo3b2o$19bo8bob7o8b2ob
ob3obo$29bo9bobo4bobobo$19b2o10b9ob3o2bobo$19b2o11bo7bo3bobobo$28bob2o
b5o2bo2bobobo$28b3o3bo3bobobo2bo$28bo2bo3b3obobob2o2bo$8b2o18b2o4b2obo
3bo3b3o$3b2o2bo2bo17b2o2b2o3bo2bob2o$3bo4bobo16bobo2bo2b2o3bobob2o$2ob
o5bo16bo6bo2bobobo3bobo$bobob2o19bo3bo2bob3o3bo2bobo$o2bo2bo8b2o13bo4b
obo2b3obob2o$2o2bo4bo5bobo10bo2b3o5b2o3bo$5b5o7bo11bobobo3bobobo2bo$
16bo10bobobobo3b2ob2obo$7bo9b3o6bob2obo3b2o4bo$6bobo10bo6bo5bo6b2obo$
7bo19b5o6bo2b2o$29bo8b2o!
-Matthias Merzenich
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Re: Thread For Your Accidental Discoveries

Postby Jackk » October 18th, 2012, 11:36 am

Is this heisenburp glider-herschel reaction known?

x = 25, y = 9, rule = B3/S23
22b3o$22bo$23bo2$2b2o$bobo$bo16b3o$2o17bo$17b3o!
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Re: Thread For Your Accidental Discoveries

Postby dvgrn » October 18th, 2012, 1:18 pm

Jackk wrote:Is this heisenburp glider-herschel reaction known?

Not sure. This doesn't seem to be quite a usable Heisenburp reaction as it stands, because the input glider *has* to be there or the eater doesn't survive. There seems to be quite a bit of room left to add more catalysts to suppress the active reaction, which is good... and you do get an extra glider out if the input glider is missing, too, so no doubt it could be routed around to clean up any leftover junk:

x = 33, y = 41, rule = LifeHistory
B$2B$3B$4B$.4B$2.4B$3.4B$4.4B$5.4B$6.4B$7.4B$8.4B$9.4B$10.4B$11.4B$
12.4B$13.2BAB$12.B4AB$5.B2A2.2B6AB.B5.B$3.2BA2BA3BA4B2A9B2.B$.BE3BABA
17B2A4B$2E5B2A5BA9B2AB2A4B$.2E3BA8B2A7BA4BA3B$2.2B2A18BA3B3A2B$4.13BA
7B2A4BA$7.10B2A4B.B3.BABA$8.9B2A2B8.2A$7.13B$6.17B$6.18B$4.2AB.16B$3.
A.AB.5B2A9B$3.A8.B2A9B$2.2A8.12B$12.12B$12.12B$12.13B$12.7B.B.4B$13.
4B6.4B$13.3B8.4B$14.2B9.4B!

I just looked back at my old notes, and it looks like I only ran an automated Heisenburp survey for gliders going in the opposite direction. Here's the map I came up with back in December 2003 -- it's what Dietrich Leithner in 1996 called the "second glider domain" for the Herschel's SNG (second natural output glider).

In the table below, 'n' means something goes wrong if a Herschel is sent in with an existing glider in the given position (relative to the SNG). To the left of the table is all n's and to the right is all Y's. 'Y' means the glider insertion works; '!' means the glider insertion doesn't work, but the existing glider escapes unharmed. Surprisingly, there are four such points:

Second Glider Domain for Fx119 inserter
.......................dx:.................
......-------------------------------------
......-.......-.........-..................
......2.......2.........1.................+
.dt:..8.......0.........0.........0.......8
-122: nYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
-121: nYYYYYYYYYYYYYYYYYYYYYYYYYnnnYYYYYYYY
-120: nYYYYYYYYYYYYYYYYYYYYYYYnnnnnnnYYYYYY
-119: nYYYYYYYYYYYYYYYYYYYYYYYnnnnnnnYYYYYY
-118: nYYYYYYYYYYYYYYYYYYYYYYnnnnnnnnYYYYYY
-117: nYYYYYYYYYYYYYYYYYYYYYYnnnnnnnnYYYYYY
-116: nYYYYYYYYYYYYYYYYYYYYYnnnnnnnnnYYYYYY
-115: nYYYYYYYYYYYYYYYYYYYYYnnnnnnnnnnYYYYY
-114: nYYYYYYYYYYYYYYYYYYYYnnnnnnnnnnnYYYYY
-113: nYYYYYYYYYYYYYYYYYYYYnnnnnnnnnnnYYYYY
-112: nYYYYYYYYYYYYYYYYYYYYnnnnnnnnnnnYYYYY
-111: nYYYYYYYYYYYYYYYYYYYYnnnnnnnnnnnYYYYY
-110: nYYYYYYYYYYYYYYYYYYYnnnnnnnnnnnnYYYYY
-109: nYYYYYYYYYYYYYYYYYYYnnnnnnnnnnnnYYYYY
-108: nYYYYYYYYYYYYYYYYYYYnnnnnnnnnnnnYYYYY
-107: nYYYYYYYYYYYYYYYYYYnnnnnnnnnnnnnYYYYY
-106: nYYYYYYYYYYYYYYYYYYnnnnnnnnnnnnnYYYYY
-105: nYYYYYYYYYYYYYYYYYYnnnnnnnnnnnnnYYYYY
-104: nYYYYYYYYYYYYYYYYYYnnnnnnnnnnnnnYYYYY
-103: nYYYYYYYYYYYYYYYYYnnnnnnnnnnnnnnYYYYY
-102: nYYYYYYYYYYYYYYYYYnnnnnnnnnnnnnnYYYYY
-101: nYYYYYYYYYYYYYYYYYnnnnnnnnnnnnnnYYYYY
-100: nYYYYYYYYYYYYYYYYYnnnnnnnnnnnnnnYYYYY
.-99: nYYYYYYYYYYYYYYYYnnnnnnnnnnnnnnYYYYYY
.-98: nYYYYYYYYYYYYYYYYnnnnnnnnnnnnnnnYYYYY
.-97: nYYYYYYYYYYYYYYYnnnnnnnnnnnnnnnYYYYYY
.-96: nYYYYYYYYYYYYYYYnnnnnnnnnnnnnnnYYYYYY
.-95: nYYYYYYYYYYYYYYnnnnnnnnnnnnnnnnYYYYYY
.-94: nYYYYYYYYYYYYYYnnnnnnnnnnnnnnnnYYYYYY
.-93: nYYYYYYYYYYYYYYnnnnnnnnnnnnnnnYYYYYYY
.-92: nYYYYYYYYYYYYYYnnnnnnnnnnnnnnnYYYYYYY
.-91: nYYYYYYYYYYYYYnnnnnnnnnnnnnnnnYYYYYYY
.-90: nYYYYYYYYYYYYYnnnnnnnnnnnnnnnnYYYYYYY
.-89: nYYYYYYYYYYYYYnnnnnnnnnnnnnnnnYYYYYYY
.-88: nYYYYYYYYYYYYYnnnnnnnnnnnnnnnnYYYYYYY
.-87: nYYYYYYYYYYYYnnnnnnnnnnnnnnnnYYYYYYYY
.-86: nYYYYYYYYYYYYnnnnnnnnnnnnnnnnYYYYYYYY
.-85: nYYYYYYYYYYYYnnnnnnnnnnnnnnnnYYYYYYYY
.-84: nYYYYYYYYYYYYnnnnnnnnnnnnnnnnYYYYYYYY
.-83: nYYYYYYYYYYYnnnnnnnnnnnnnnnnYYnnnnYYY
.-82: nYYYYYYYYYYYnnnnnnnnnnnnnnnnnnnnnnYYY
.-81: nYYYYYYYYYYYnnnnnnnnnnnnnnnnnnnnnnYYY
.-80: nYYYYYYYYYYYnnnnnnnnnnnnnnnnnnnnnnYYY
.-79: nYYYYYYYYYYnnnnnnnnnnnnnnnnnnnnnnnYYY
.-78: nYYYYYYYYYYnnnnnnnnnnnnnnnnnnnnnnnYYY
.-77: nYYnnnYYYYYnnnnnnnnnnnnnnnnnnnnnnnYYY
.-76: nnnnnnnYYYYnnnnnnnnnnnnnnnnnnnnnnnYYY
.-75: nnnnnnnYYYYnnnnnnnnnnnnnnnnnnnnnnnnYY
.-74: nnnnnnnYYYYnnnnnnnnnnnnnnnnnnnnnnnnYY
.-73: nnnnnnnYYYYnnnnnnnnnnnnnnnnnnnnnnnnYY
.-72: nnnnnnnYYYYnnnnnnnnnnnnnnnnnnnnnnnnYY
.-71: nnnnnnnYYYnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-70: nnnnnnnYYYnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-69: nnnnnnnYYYnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-68: nnnnnnnYYYnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-67: nnnnnnnYYYnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-66: nnnnnnnYYYnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-65: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-64: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-63: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-62: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-61: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-60: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-59: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-58: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-57: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-56: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-55: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-54: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-53: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-52: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-51: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-50: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-49: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-48: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-47: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-46: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-45: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-44: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-43: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-42: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-41: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-40: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnY
.-39: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-38: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-37: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-36: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-35: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-34: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-33: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
.-32: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
.-31: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
.-30: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
.-29: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
.-28: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
.-27: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
.-26: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
.-25: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
.-24: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
.-23: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
.-22: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
.-21: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
.-20: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
.-19: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
.-18: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-17: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-16: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-15: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-14: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-13: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-12: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-11: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
.-10: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
..-9: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
..-8: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
..-7: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
..-6: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYY
..-5: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
..-4: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
..-3: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
..-2: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYY
..-1: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn!YYYY
...0: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
...1: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
...2: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYY
...3: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYY
...4: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYY
...5: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYY
...6: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYY
...7: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYY
...8: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYY
...9: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYY
..10: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYY
..11: nnnnnnnnnnnnnnnnnnnnnnnnnnnn!nYYYYYYY
..12: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYY
..13: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYY
..14: nnnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYY
..15: nnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYY
..16: nnnnnnnnnnnnnnnnnnnnnnnnnn!nYYYYYYYYY
..17: nnnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYY
..18: nnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYY
..19: nnnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYY
..20: nnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYY
..21: nnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYY
..22: nnnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYY
..23: nnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYY
..24: nnnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYY
..25: nnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYY
..26: nnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYY
..27: nnnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYY
..28: nnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYY
..29: nnnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYY
..30: nnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYY
..31: nnnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYY
..32: nnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYY
..33: nnnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYY
..34: nnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYY
..35: nnnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYY
..36: nnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYY
..37: nnnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYY
..38: nnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYY
..39: nnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYY
..40: nnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYY
..41: nnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYY
..42: nnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYY
..43: nnnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYY
..44: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..45: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..46: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..47: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..48: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..49: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..50: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..51: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..52: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..53: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..54: nnnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYY
..55: nnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYY
..56: nnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYY
..57: nnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYY
..58: nnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYY
..59: nnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYY
..60: nnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYY
..61: nnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYY
..62: nnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYY
..63: nnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYY
..64: nnnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYY
..65: nnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYY
..66: nnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYY
..67: nnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYY
..68: nnnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYY
..69: nnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYY
..70: nnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYY
..71: nnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYY
..72: nnnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYY
..73: nnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYY
..74: nnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYY
..75: nnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYY
..76: nnnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYY
..77: nnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYY
..78: nnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYY
..79: nnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYY
..80: nnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYY
..81: nnnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYY
..82: nnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYY
..83: nnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYY
..84: nnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYY
..85: nnnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYY
..86: nnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYY
..87: nnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYY
..88: nnnnnnnnn!YYYYYYYYYYYYYYYYYYYYYYYYYYY
..89: nnnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYY
..90: nnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYY
..91: nnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYY
..92: nnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYY
..93: nnnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYY
..94: nnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
..95: nnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
..96: nnnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
..97: nnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
..98: nnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
..99: nnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.100: nnnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.101: nnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.102: nnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.103: nnnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.104: nnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.105: nnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.106: nnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.107: nnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.108: nnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.109: nnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.110: nnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.111: nnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.112: nnnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.113: nnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.114: nnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.115: nnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.116: nnnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.117: nnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.118: nnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.119: nnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.120: nnnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.121: nnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.122: nnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.123: nnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.124: nnYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.125: nYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.126: nYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
.127: nYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Here are the potential Heisenburp reactions from the above table. It's not clear that any of them are really useful, of course, just because in most cases there are more efficient non-Herschel-based ways to test for the presence of a glider.

#C Herschel Heisenburp #1: Fx119 glider inserter with glider
#C at dx=-2, dt=16 relative to the output glider. If a glider is in
#C this location, it continues unaffected, but the inserter produces
#C a block and a loaf instead of the normal output glider.
x = 45, y = 99, rule = B3/S23
bbo$obo$boo35$6boo$7bo$7bobo$8boo6$7boo$7boo4boo$13boo4$12boo$8boobboo
$7bobo$7bo12boo$6boo11bobo$19bo$18boo5$20boo$19bobo$19bo$18boo$17bo$
17b3o$20bo$19boo6$17boo$17boo$41boo$41bobo$43bo$43boo6$27b3o$28bo$28b
3o6$21boo$20bobo$20bo$19boo!

#C Herschel Heisenburp #2: Fx119 glider inserter with glider
#C at dx=4, dt=-1 relative to the output glider. Presence of this
#C glider means that the insertion reaction is cleanly suppressed.
x = 43, y = 94, rule = B3/S23
obo$boo$bo39$4boo$5bo$5bobo$6boo6$5boo$5boo4boo$11boo4$10boo$6boobboo$
5bobo$5bo12boo$4boo11bobo$17bo$16boo5$18boo$17bobo$17bo$16boo$15bo$15b
3o$18bo$17boo6$15boo$15boo$39boo$39bobo$41bo$41boo6$25b3o$26bo$26b3o!

#C Herschel Heisenburp #3: Fx119 glider inserter with glider
#C at dx=0, dt=11 relative to the output glider -- if there is no
#C glider in the reference location, an inserted glider
#C appears in the reference location, delayed 11 generations.
#C If the reference glider is there, it is unharmed, but an active
#C reaction is set off behind it. The reaction as shown destroys
#C the inserter; other inserter variants might help correct this.
x = 44, y = 100, rule = B3/S23
obo$boo$bo36$5boo$6bo$6bobo$7boo6$6boo$6boo4boo$12boo4$11boo$7boobboo$
6bobo$6bo12boo$5boo11bobo$18bo$17boo5$19boo$18bobo$18bo$17boo$16bo$16b
3o$19bo$18boo6$16boo$16boo$40boo$40bobo$42bo$42boo6$26b3o$27bo$27b3o6$
20boo$19bobo$19bo$18boo!

#C Herschel Heisenburp #4: Fx119 glider inserter with glider
#C at dx=-19, dt=92 relative to the output glider. In the presence
#C of this glider, the inserter produces two beehives and a loaf.
x = 44, y = 81, rule = B3/S23
bbo$obo$boo17$5boo$6bo$6bobo$7boo6$6boo$6boo4boo$12boo4$11boo$7boobboo
$6bobo$6bo$5boo7$11boo6boo$10bobo5bobo$10bo7bo$9boo6boo$16bo$16b3o$19b
o$18boo6$16boo$16boo$40boo$40bobo$42bo$42boo6$26b3o$27bo$27b3o6$20boo$
19bobo$19bo$18boo!

There was one more related result I stumbled on by accident at the same time, and never tried to clean up. If it can be tamed, it might come in handy in huge-prime-oscillator constructions or some such. Normally to change the timing on a Herschel/glider circuit you have to adjust two output streams -- one to destroy the "clock" glider and a separate one to replace it later -- unless you have a trick like this:

#C A glider at dx=-19, dt=93 is delayed by five generations;
#C no attempt made yet to tame the leftover active reaction
x = 43, y = 81, rule = B3/S23
o$boo$oo17$4boo$5bo$5bobo$6boo6$5boo$5boo4boo$11boo4$10boo$6boobboo$5b
obo$5bo$4boo7$10boo6boo$9bobo5bobo$9bo7bo$8boo6boo$15bo$15b3o$18bo$17b
oo6$15boo$15boo$39boo$39bobo$41bo$41boo6$25b3o$26bo$26b3o6$19boo$18bob
o$18bo$17boo!
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Re: Thread For Your Accidental Discoveries

Postby Guam » October 18th, 2012, 3:46 pm

One more B to H converter (B-Pi-B-H):
x = 52, y = 48, rule = LifeHistory
47.A$45.3A$30.2A12.A6.A$31.A12.2A3.3A$31.A.A14.A$32.2A2.2A3.2A5.2A$
36.2A3.2A3$48.A$31.2A14.A$31.2A13.2A$47.2A$48.A5$43.2A.2A$42.A.A.A.A$
43.A2.A.A$46.A.2A$45.2A3.A$42.A.A2.A.A$2.2A38.2A2.2A.2A$2.A$3A3$12.2A
$12.2A2$39.2A.2A$40.A.A$38.A.A2.A$38.2A2.2A$2.2A$2.2A2$38.A.2A$38.2A.
A$2.2A$2.2A2$11.2A23.2A$11.2A9.2A12.A.A$22.2A14.A$38.2A!
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Re: Thread For Your Accidental Discoveries

Postby Guam » October 19th, 2012, 4:00 pm

Herschel predecessor to Pi converter:
x = 13, y = 7, rule = LifeHistory
2.A$.A.A$2A.2A2.2A$.A2.A2.A.A.2A$.A3.A3.A.2A$.A7.A$8.2A!
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Re: Thread For Your Accidental Discoveries

Postby Sokwe » October 19th, 2012, 6:56 pm

Guam wrote:Herschel predecessor to Pi converter

Very nice! How did you find it?
-Matthias Merzenich
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Re: Thread For Your Accidental Discoveries

Postby Guam » October 22nd, 2012, 3:06 pm

Sokwe wrote:
Guam wrote:Herschel predecessor to Pi converter

Very nice! How did you find it?

It`s my own program, that can analyse all reactions with all stable patterns in small area.
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Re: Thread For Your Accidental Discoveries

Postby Guam » October 25th, 2012, 4:48 pm

R to J converter (modified Buckingham's version):
x = 18, y = 14, rule = LifeHistory
13.2A$14.A$2.2A9.A$2.2A9.2A2$2.4A$2.A2.A3$16.2A$A.A13.2A$A2.A$A2.A$.
2A!

New version of R to J converter:
x = 33, y = 10, rule = LifeHistory
A22.A$3A5.2A2.2A7.3A$3.A4.A3.2A6.A$2.A3.A.A11.2A$.A3.A.A$.2A3.A$12.A.
A$12.A2.A$12.A2.A15.2A$13.2A16.2A!
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Re: Thread For Your Accidental Discoveries

Postby Tropylium » October 27th, 2012, 7:58 pm

Guam wrote:R to J converter (modified Buckingham's version):
x = 18, y = 14, rule = LifeHistory
13.2A$14.A$2.2A9.A$2.2A9.2A2$2.4A$2.A2.A3$16.2A$A.A13.2A$A2.A$A2.A$.
2A!

What's the benefit of using a table rather than a boat here?
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Re: Thread For Your Accidental Discoveries

Postby Guam » October 29th, 2012, 4:02 pm

How to define whether easy glider-constructible stable pattern? For example, part of glider synthesis of bookends, tub with tail and dead spark coil:
x = 42, y = 19, rule = B3/S23
39bo$19b2o11b2o5bobo$19b2o11b2o5b2o3$9bo10b2o11b2o$2o6bo10b2o11b2o$bo
6b3o10bo12bo$bobo$2b2o3bo$6bobo$6bobo8bo12bo$7bo10b2o11b2o$17b2o11b2o
3$18b2o11b2o6b2o$18b2o11b2o6bobo$39bo!
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Re: Thread For Your Accidental Discoveries

Postby dvgrn » October 30th, 2012, 2:06 am

Guam wrote:How to define whether easy glider-constructible stable pattern?

That's a very good and interesting question... interesting to me, anyway! My own short answer is that "easy" glider-constructible patterns are made of common seven-bit-or-smaller still lifes, spaced a few cells from each other. No pseudo-still-life constellations if possible... and no aircraft carriers or snakes, since those appear significantly less often in random ash than even fishhook eaters do, and anyway it's usually trivial to use one end or another of an eater instead. Paul Chapman and I started using the word "Spartan" around 2004 as shorthand for this seven-bit-no-snakes limit.

In Herschel-circuit construction problems so far, there are generally extra constraints on the construction gliders: they can come in only one at a time from one direction (as in Paul Chapman's 'Glue' search utility, and constructor-memory-tape.rle in Golly's Patterns/Life/Signal-Circuitry) or two at a time 90 degrees apart (as in Andrew Wade's Gemini spaceship). And between the volleys of gliders, the intermediate pattern generally needs to settle down and not throw off any uncaught gliders. Anything that doesn't appear very regularly in random ash is likely to be fairly difficult to glider-construct _in all possible orientations_ with these constraints, especially in close quarters with other still lifes nearby.

Now, this seven-bit limit is definitely a rule of thumb -- an approximation, not an exact science! It will always be perfectly _possible_ to build still lifes with higher cell counts, even in closely packed constellations, as long as there's any known glider construction at all.

The 'Spartan' dividing line was chosen after quite a bit of experimentation. The idea was to try to minimize the total complexity of construction -- the length of the "glider recipe". Yes, larger catalysts like tub-with-tails or dead spark coils could definitely be included in self-constructing Herschel circuits. Having more conduit options would certainly allow an actual self-constructing circuit to be smaller and more efficient: it might contain, say, 10% or 20% fewer catalysts. *But* if each catalyst takes, on average, 30% more gliders to construct, and the constructions maybe have to be hand-optimized instead of being automatically compiled by a program... then maybe minimizing the total number of catalysts isn't really what's important.

Guam wrote:For example, part of glider synthesis of bookends, tub with tail and dead spark coil:
x = 42, y = 19, rule = B3/S23
39bo$19b2o11b2o5bobo$19b2o11b2o5b2o3$9bo10b2o11b2o$2o6bo10b2o11b2o$bo
6b3o10bo12bo$bobo$2b2o3bo$6bobo$6bobo8bo12bo$7bo10b2o11b2o$17b2o11b2o
3$18b2o11b2o6b2o$18b2o11b2o6bobo$39bo!

If short Gemini construction recipes are discovered for both orientations of dead spark coil -- and especially if someone can produce Gemini recipes to build Paul Callahan's old G5 Herschel transmitter in all eight possible orientations -- then that would be a very good argument for stretching the "Spartan" definition to include dead spark coils. Long-span Herschel transceivers are mostly just empty space, and you can't get any easier to construct than that!

But I think the odds are low that anyone will come up with those recipes: dead spark coils are very far down Achim's top-100 list of 'natural' still lifes ("JC", #49) -- way below tub_with_tail (#32) or snake (#25). With any luck someone will prove me wrong about this...!

By the way, this is an odd case where a p2 oscillator could be used in "stable" circuitry perfectly well -- a regular 'live' spark coil would work perfectly well in place of a dead one, if it turned out to be easier to construct. The periodic part wouldn't affect the catalysis at all.

Along the same lines as the spark coil: if there's a way to get all eight possible tub-with-tail orientations using Gemini-style gliders from just two directions, and you can use all those recipes to build tub-with-tail-plus-block eaters, then your new almost-Spartan G5 transmitter could be added to the self-constructing-circuitry toolkit, along with Stephen Silver's receiver and a number of other useful devices. It would certainly be handy to have a good compact easy-to-construct Herschel transmitter (along with a Spartan Herschel splitter, while I'm wishing!)... but when I looked at the tub-with-tail construction problem several years ago it didn't seem too likely to work: in practice, the constructions just plain take up too much space, making it hard to construct other nearby catalysts.

... That's enough for tonight, I think! If all this brings up more questions than it answers, please let me know.
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Re: Thread For Your Accidental Discoveries

Postby dvgrn » November 2nd, 2012, 6:49 am

dvgrn wrote:But I think the odds are low that anyone will come up with those recipes: dead spark coils are very far down Achim's top-100 list of 'natural' still lifes ("JC", #49) -- way below tub_with_tail (#32) or snake (#25). With any luck someone will prove me wrong about this...!

This got me thinking a little more. Here are some sample incremental constructions of bigger-but-maybe-worth-having catalysts. Here the gliders all come from the same direction -- these are old results from Paul Chapman's 'Glue' search program. Recipes like these could serve as upper bounds for a search using Gemini-spaceship-style pairs of synchronized gliders (which is an enormously larger search space.)

#C unidirectional P2 slow-salvo constructions:
#C dead spark coil, snake, tub-with-tail, aircraft carrier.
x = 288, y = 171, rule = LifeHistory
17.2A$17.2A6$74.2A$74.2A$4.3A77.3A77.3A80.A$246.A.A$77.2A3.A5.A73.A7.
2A74.A.A$.2A5.2A67.2A3.A5.A73.A6.A2.A74.A$A2.A3.A.A72.A5.A73.A7.A.A$A
2.A3.2A7.A154.A70.2A$.2A12.2A67.3A78.2A75.2A$15.A.A146.A.A85.A$164.2A
86.A$77.2A11.A149.2A.2A7.A$77.2A10.2A85.A63.2A.2A$89.A.A83.2A$175.A.A
73.A$250.2A$250.A.A7$259.3A$259.A$260.A2$269.3A$269.A$270.A13$44.2A$
44.A.A$44.A7$70.2A$70.A.A$70.A2$208.A$207.2A$54.2A151.A.A$54.A.A$54.A
14$17.2A$17.2A8$4.3A157.3A2$2.A5.A81.2A70.A5.A$2.A5.A77.2A2.A.A69.A5.
A78.2A$2.A5.A77.2A2.A71.A5.A74.2A2.A.A$243.2A2.A$4.3A157.3A2$105.2A
69.3A$7.A97.A.A57.A10.A$6.2A97.A58.2A11.A$6.A.A155.A.A94.3A$261.A$13.
3A246.A$13.A$14.A88.2A$103.A.A8.2A$103.A10.A.A$114.A69.2A78.2A$183.2A
78.2A$185.A67.3A9.A$253.A$254.A$258.A$257.2A$257.A.A$21.A$20.2A15.2A
153.2A$20.A.A13.2A153.2A70.2A$38.A154.A68.2A$264.A$267.A4.A$122.2A
142.2A3.2A$122.A.A141.A.A2.A.A$122.A4$278.3A$278.A6.3A$136.A142.A5.A$
135.2A149.A$135.A.A6$142.3A$142.A$143.A11$157.2A$156.2A$158.A$68.2A
149.A$67.2A149.2A$69.A148.A.A7$94.2A$93.2A$95.A4$78.2A$77.2A$79.A!

I don't remember if Glue was ever able to find reasonable slow-salvo constructions for all eight tub-with-tail orientations. At the very least, some of those recipes took up an awkwardly large area.

The same is true for the above dead spark coil recipe. Any supporting catalysts nearby would have to be built later, working around the spark coil... that's the kind of constraint that can make a construction recipe more complicated very quickly. It would be nice to be able to put together a "compiler" utility that can automatically produce a glider recipe for any pattern you feed to it, without having to worry about lots of special cases.

But a design with two construction arms certainly gives you a lot more options for working around obstructions. And slow-salvo constructions could still be used when necessary, so that could cut the number of required recipe orientations in half. I guess the short summary is that it might well be worth hunting for some new tools for a "Spartan-Plus" toolkit...!
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Re: Thread For Your Accidental Discoveries

Postby Guam » November 15th, 2012, 4:46 pm

Example of the synthesis of the tub-with-tail-plus-block eater for all orientations (7-10 gliders):
x = 126, y = 326, rule = B3/S23
108bo$108bobo$108b2o$23bo$21bobo$22b2o8$94bobo$94b2o$95bo3$37bo$38b2o$
37b2o7$87bo$87bobo35bo$87b2o34b2o$52bo71b2o$50bobo$51b2o2$15bo$16b2o$
15b2o3$72bo$72bobo$27bo44b2o$25bobo28bo$26b2o26bobo59bo$55b2o58bo$115b
3o11$94bo$34bo57b2o$35b2o56b2o$34b2o10$51bo$49bobo$50b2o28bo$79bo$79b
3o7$71bo$71bobo$53bo17b2o$54b2o$10bo42b2o58bobo$11b2o100b2o$10b2o102bo
8$22bo$20bobo$21b2o78bo$100bo$100b3o$83bo$81b2o$82b2o5$38bo$39bo10bo$
37b3o8bobo$49b2o18bo$68bo$68b3o7$78bo$59bo16b2o$57bobo17b2o$58b2o8$25b
o$23bobo$24b2o68bo$93bo$93b3o6$35bo$36b2o$35b2o9$49bo$47bobo$48b2o33bo
$81b2o$82b2o6$17bo$15bobo35bo$16b2o33bobo$52b2o13bo34bo$65b2o35bobo$
66b2o34b2o8$29bobo$30b2o$30bo3$88bo$86b2o$87b2o7$38bo$o35bobo$b2o34b2o
$2o71bo$73bobo$73b2o2$110bo$108b2o$109b2o3$53bo$51bobo$52b2o44bo$69bo
28bobo$9bo59bobo26b2o$10bo58b2o$8b3o11$31bo$32b2o57bo$31b2o56b2o$90b2o
10$74bo$74bobo$45bo28b2o$46bo$44b3o7$54bo$52bobo$53b2o17bo$70b2o$10bob
o58b2o42bo$11b2o100b2o$11bo102b2o8$103bo$103bobo$24bo78b2o$25bo$23b3o$
42bo$43b2o$42b2o5$87bo$75bo10bo$75bobo8b3o$56bo18b2o$57bo$55b3o7$47bo$
48b2o16bo$47b2o17bobo$66b2o8$100bo$100bobo$31bo68b2o$32bo$30b3o6$90bo$
88b2o$89b2o9$76bo$76bobo$42bo33b2o$43b2o$42b2o7$72bo$72bobo$58bo13b2o$
59b2o$58b2o!

It can be used in F116, R126, H to G5 converter with R126.
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Re: Thread For Your Accidental Discoveries

Postby Guam » November 17th, 2012, 4:04 pm

Example of the synthesis of the Callahan's Herschel transmitter for all orientations (16-20 gliders):
x = 237, y = 527, rule = B3/S23
131b2o$130b2o$117b2o13bo$116bobo$118bo7$106b3o$108bo$107bo8b2o$116bobo
$116bo7$111b3o$113bo$112bo28b2o$141bobo$141bo3$153b2o$153bobo$153bo22$
76b3o$78bo$77bo5$131b2o$130b2o$117b2o13bo$116bobo$118bo77b2o$196bobo$
196bo$69b2o$68bobo$70bo2$106b3o$108bo$107bo8b2o$116bobo$116bo$63b3o$
65bo$64bo138b2o$203bobo$203bo2$111b3o$113bo$112bo28b2o$141bobo$141bo$
223bo$222b2o$153b2o67bobo$153bobo$153bo3$74b2o105b2o$73bobo105bobo$49b
2o24bo105bo$50b2o$49bo6$38b2o142b2o$37bobo23b2o117bobo$39bo24b2o116bo$
63bo54b2o95b2o$118bobo94bobo$118bo96bo$111b2o$110bobo$112bo$76b3o$78bo
104b3o$77bo105bo$116b3o65bo35b3o$53b2o63bo101bo$31b2o21b2o61bo8b2o93bo
$30bobo20bo72bobo$32bo93bo6$71b2o$12bo59b2o$12b2o57bo113b2o$11bobo171b
obo$185bo$84b3o$86bo$85bo38b2o$124bobo$124bo$235b2o$234b2o$236bo2$125b
2o$125bobo$125bo$78b2o$77bobo$79bo$139bo$138b2o$138bobo2$76bo$76b2o$
75bobo10$76b3o$78bo$77bo84b2o$162bobo$162bo6$65b2o$66b2o$65bo95b2o$
161bobo$161bo11$65b3o$67bo$66bo104b2o$171bobo$171bo$106b3o$108bo$107bo
24b2o$49b2o81bobo$48bobo81bo$50bo140b3o$191bo$192bo3$95b2o$96b2o$95bo
35b2o$29b2o100bobo$30b2o99bo82b2o$29bo183b2o$215bo9$95b3o$97bo$96bo44b
2o$141bobo$141bo4$79b2o$78bobo$80bo80b3o$161bo$162bo11$104b2o$105b2o$
104bo13b2o$118bobo$118bo17b2o$67b2o67bobo12bo$68b2o66bo13b2o$67bo82bob
o4$128b3o$128bo$119b2o8bo$64b2o52bobo$63bobo54bo$65bo4$54b3o$56bo$55bo
67b3o58b2o$123bo60bobo$94b2o28bo59bo$93bobo$95bo3$82b2o$81bobo$83bo3$
190b2o$190bobo$190bo$43b2o$42bobo$44bo$204bo$203b2o$203bobo2$41bo$41b
2o$40bobo7$158b3o$158bo$159bo5$104b2o$105b2o$104bo13b2o$118bobo$39b2o
77bo$38bobo$40bo$166b2o$166bobo$166bo2$128b3o$128bo$119b2o8bo$118bobo$
120bo$171b3o$171bo$32b2o138bo$31bobo$33bo2$123b3o$123bo$94b2o28bo$93bo
bo$95bo$13bo$13b2o$12bobo67b2o$81bobo$83bo3$54b2o105b2o$53bobo105bobo$
55bo105bo24b2o$185b2o$187bo6$53b2o142b2o$52bobo117b2o23bobo$54bo116b2o
24bo$20b2o95b2o54bo$19bobo94bobo$21bo96bo$124b2o$124bobo$124bo$158b3o$
51b3o104bo$53bo105bo$14b3o35bo65b3o$16bo101bo63b2o$15bo93b2o8bo61b2o
21b2o$108bobo72bo20bobo$110bo93bo6$164b2o$163b2o59bo$50b2o113bo57b2o$
49bobo171bobo$51bo$150b3o$150bo$111b2o38bo$110bobo$112bo$2o$b2o$o2$
110b2o$109bobo$111bo$157b2o$157bobo$157bo$97bo$97b2o$96bobo2$160bo$
159b2o$159bobo10$158b3o$158bo$73b2o84bo$72bobo$74bo6$170b2o$169b2o$74b
2o95bo$73bobo$75bo11$169b3o$169bo$64b2o104bo$63bobo$65bo$128b3o$128bo$
103b2o24bo$102bobo81b2o$104bo81bobo$43b3o140bo$45bo$44bo3$140b2o$139b
2o$104b2o35bo$103bobo100b2o$21b2o82bo99b2o$22b2o183bo$21bo9$139b3o$
139bo$94b2o44bo$93bobo$95bo4$156b2o$156bobo$73b3o80bo$75bo$74bo15$99b
2o$85bo12bobo67b2o$85b2o13bo66b2o$84bobo82bo7$171b2o$171bobo$171bo4$
180b3o$180bo$51b2o128bo$50bobo$52bo10$45b2o$44bobo$46bo$192b2o$192bobo
$192bo$32bo$32b2o$31bobo2$195bo$194b2o$194bobo!
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Re: Thread For Your Accidental Discoveries

Postby dvgrn » November 17th, 2012, 9:13 pm

Guam wrote:Example of the synthesis of the Callahan's Herschel transmitter for all orientations (16-20 gliders):

These look pretty good -- since the transmitter is a terminal conduit, it can still be very useful even if it's not tightly packed in with other still lifes.

Based on these recipes, let's say that a pattern can be called "Spartan++" if no other still lifes have to be in place _before_ the transmitter is constructed, within one diagonal cell's distance of this boundary:

#C Safe construction boundary for Callahan transmitter
x = 43, y = 48, rule = LifeHistory
21.D$20.D.D$19.D3.D$18.D5.D$17.D7.D$16.D9.D$15.D11.D$14.D13.D$13.D15.
D$12.D17.D$11.D19.2D$10.D22.2D$9.D24.D$8.D26.D$7.D27.D$6.D29.D$5.D7.A
23.D$4.D8.3A22.D$3.D12.A21.D$2.D12.2A21.D$.D35.D$D29.2A6.D$D30.A7.2D$
.D26.3A10.2D$.D26.A13.D$2.D39.D$.D40.D$.D38.2D$D38.D$.D23.2A.2A8.D$.D
23.A3.A8.D$2.3D21.3A8.D$5.D30.D$6.2D18.3A6.D$8.D16.A3.A4.D$9.D15.2A.
2A3.D$9.D22.D$10.D20.D$11.D18.D$12.D16.2D$13.D14.D$14.D12.D$15.D10.D$
16.D8.D$17.D6.D$18.D4.D$19.D2.D$20.2D!

It should be possible to reduce this boundary quite a bit if necessary. But right now this is the boundary to check to make sure that the construction will be completely trivial, with no need to develop workarounds for specific cases. Something similar can be done for tub-with-tail eaters and any other useful eight-bit-or-larger still lifes.

I just noticed, by the way, that the slow-salvo recipe I extracted from Paul Chapman's 'Glue' search utility was actually for a dock on dock, no use at all. Sorry about that -- will have to run Glue a bit longer and see if a spark coil even shows up.
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Re: Thread For Your Accidental Discoveries

Postby knightlife » December 1st, 2012, 5:54 pm

Herschel collision produces another Herschel cleanly:
x = 57, y = 106, rule = B3/S23
27b2o$27bo$25bobo$25b2o4$7bo$7b3o$10bo6b3o$9b2o8bo$18b3o6$4b2o$5bo$5bo
bo$6b2o3$20b2o$20bobo$22bo$22b2o3$4b2o$3bobo$3bo$2b2o7b2o$11b2o9$55bo$
53b3o$40bo11bo$40b3o9b2o$43bo$30b2o10b2o$31bo$31bobo$32b2o$55b2o$55b2o
8$46b2o$46bo$47b3o$49bo2$25b2o$26bo$9b2o12b3o$2o7b2o12bo$bo$bobo$2b2o
3$20b2o$20bo$18bobo$18b2o3$4b2o$3bobo$3bo$2b2o5$17bo$16b3o$7b2o6bo$8bo
7b2o$5b3o8bo$5bo9$28b2o$28bobo$30bo$30b2o!

3H collision produces 5G cleanly:
x = 289, y = 115, rule = B3/S23
82b2o$82bo$80bobo$80b2o4$62bo$62b3o$65bo6b3o$64b2o8bo$73b3o6$59b2o$60b
o$60bobo$61b2o3$75b2o$75bobo$77bo$77b2o3$59b2o$58bobo$58bo$57b2o7b2o$
66b2o10$47b2o$32bo15bo$30b3o15bobo$17bo11bo19b2o215b2o$17b3o9b2o236bo$
20bo246bobo$7b2o10b2o247b2o$8bo$8bobo$9b2o274b3o$32b2o253bo$32b2o252b
3o2$268bo$268bobo$268b3o$9bo260bo$9bobo$9b3o$11bo11b2o$23bo$24b3o$26bo
$283b3o$2b2o280bo$3bo278b3o$3o$o11$63b2o$54b2o7b2o$55bo$55bobo$56b2o3$
74b2o$74bo$72bobo$72b2o3$58b2o$57bobo$57bo$56b2o6$70b3o$61b2o8bo$62bo
6b3o$59b3o$59bo4$77b2o$77bobo$79bo$79b2o!
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Re: Thread For Your Accidental Discoveries

Postby Guam » December 3rd, 2012, 3:03 pm

These Herschel to glider converters are not in the collection HtoG26Oct2006, but they are known to me.
Posted by me and Sokwe earlier: NEpath-14, NWpath25 (H to G7 converter), NWpath26 (H to G6 converter), NWpath37, NWpath40, NWpath42, SEpath53:
x = 457, y = 79, rule = B3/S23
11$21b2o11bo$21bobo8b3o241b2o$22b2o7bo244b2o$31b2o5$14b2o$14bobo248b2o
$15bo249bobo$266bo$71bo11bo129b2o$71b3o7b3o129b2o216b2o$74bo5bo65bo
272bo11b2o$73b2o5b2o62b3o272b3o$143bo278bo$143b2o71b2o186b2o15b2o$216b
2o187bo$405bobo$86b2o312b2o4b2o$85bobo110b2o192bo7b2o$14b2o14b2o54bo
103bo7b2o192b3o$14b2o14bobo114b2o41b3o72b2o76b2o50bo$32bo114b2o44bo71b
2o54b2o20b2o49b2o49b2o$32b2o27b2o129b2o119bo7b2o29b2o91b2o$62bo63b2o
185b3o36bo33b2o$62bobo62bo56b2o130bo33bobo34bo$63b2o62bobo55bo129b2o
33b2o35bobo$128b2o55bobo200b2o$21bo164b2o119b2o$20bobo249bo35bo$6b2o
13b2o210b2o36bobo34bobo$7bo225b2o22b2o13b2o35b2o$7bobo137b2o109bo$8b2o
53bo35b2o46b2o109bobo167b2o$63bobo33b2o27bo130b2o127bo38bobo$63b3o62bo
bo55bo201bobo36b2o$65bo62b3o55bobo199b3o$14bo115bo55b3o201bo19b2o$14bo
bo171bo19b2o55bo43bo101bo$14b3o63b2o127bo55bobo41bobo88b2o6b3o$16bo63b
2o64b2o50b2o6b3o56b3o41b3o88b2o2b2o2bo$56b2o88bobo49b2o2b2o2bo60bo43bo
19b2o71bobobo$57bo63b2o12bob2o9bo53bobobo125bo11b2o35b2o23bob2o$54b3o
65bo10b3ob2o9b2o29b2o23bob2o113b2o6b3o12b2o36bo23bo$54bo64b3o10bo47bo
23bo116b2o2b2o2bo49b3o23b2o$119bo13b3ob2o38b3o23b2o120bobobo49bo$17b2o
116bobo2bo36bo124b2o23bob2o$17bo121b2o127b2o33bo23bo$12b2o4b3o247bo31b
3o23b2o$12b2o6bo54b2o186b2o4b3o28bo$75bo187b2o6bo$76b3o$78bo!

Additional gliders in Herschel conduits: NWpath22 (H to G2 converter), NWpath75 (Ff_176 conduit), SEpath42 (H to G12 converter), SEpath9, SWpath-10 (H to G8 converter), SWpath-32 (H to G4 converter), SWpath-28, SWpath7 (H to G9 converter):
x = 620, y = 102, rule = B3/S23
11$423b2o$423bobo62b2o$424b2o62bobo$489b2o2$242b2o186bo$226b2o14bo186b
obo63bo$215b2o9b2o12bobo186bobo62bobo$215b2o23b2o188bo63bobo$420b2o73b
o$156b2o48b2o212b2o$6bo149b2o48b2o$6b3o233b2obo$9bo232bob2o$8bobo128b
2o$9bo14b2o113b2o65b2o$24b2o143b2o35b2o$43b2o124bo72b2o2b2o$10b2o31bo
123bobo72bobo2bo92bo$10b2o29bobo123b2o75bobo92bobo132bo$37b2o2b2o200b
2ob2o91bobo131bobo$10b2o25b2o301bo132bobo$11bo204b2o133bo122bo$11bobo
202b2o133bo54b2o35b2o40bo75b2o$12b2o280b2o53b3o9b2o3b2o39bo35b2o40bo
17b2o57bo14b2o$42b2o251bo53bo11b2o3b2o36b3o76b3o17bo58bobo12b2o9b2o$
42b2o115b2o43b3o88bobo106bo78bo20b3o56b2o23b2o$159b2o45bo89b2o208bo$
206b2o389b2o$76b2o519b2o$75bo2bo480bob2o$12bo63b2o76b2o3bo399b2obo$12b
obo139b2o2bobo277b2o59b2o$12b3o143bobo208b2o67bobo58bo97b2o$14bo114b2o
26b2ob3o191b2o13b2o69bo56bobo97b2o$130bo32bo190b2o84b2o55b2o58b2o2b2o$
24b2o104bobo24b2ob3o38b2o354bo2bobo$24b2o2b2o93b2o6b2o24b2obo39bo2bo
217bo136bobo$28bobo84bo7b2o76b2o217bobo134b2ob2o$30bo40b2o42b3o196b2o
104b2o$30b2o40bo45bo168bo26bo272b2o$72b3o42b2o114bob2o50bobo22bobo101b
2o63bo105b2o$233b2obo50b3o22b2o98bo3b2o62bobo18b2o$109b2o178bo121bobo
66b2o19b2o$61b2o47bo259b2o38bobo185b3o$61b2o47bobo257b2o38bo187bo$111b
2o296b2o186b2o$31b2ob2o$32bobo252b2o261b2o$31bo2bobo250b2o253bo7b2o$
31b2o2b2o505b3o$71b2o362b2o108bo$71b2o241b2o119b2o63b2o42b2o$111bo202b
2o184b2o$33b2obo74bobo31b2o389b2o64b2o$33bob2o74b3o31b2o76bo313bo63bo
2bo$71b2o40bo109bobo65b2o244bobo62b2o$71b2o150b3ob2o61bobo11b2o40bo
191b2o$123b2o8b2o32bo57bob2o61bo13bo41bobo20b2o$37b2o23b2o59b2o2b2o5bo
31bobo120b2o14b3o38b3o20bo198b2o$36bobo12b2o9b2o63bobob3o32bobo138bo
40bo10b2o3b2o4b3o195b2o$36bo14b2o76bobo35bo189bo2bo4bo6bo$35b2o92b2o4b
2o220b3o4bo$134bobo4b2o108b2o111b2o$134bo6b2o108b2o39b2o63b2obo50bo
126bo24b2o$133b2o156bobo63bob2o50bobo20b2o40bo61bobo22b2o2b2o$225b2o
64bo119b3o20bo41bobo20b2o37b3o26bobo$226bo63b2o121bo10b2o3b2o4b3o38b3o
20bo40bo28bo$223b3o25b2o169bo2bo4bo6bo40bo10b2o3b2o4b3o66b2o$223bo27b
2o169b3o4bo57bo2bo4bo6bo47b2o$237b2o190b2o56b3o4bo55b2o2b2o$236bobo
183b2obo68b2o58bobo$236bo185bob2o61b2obo65bo$235b2o8b2o240bob2o65b2o$
245bo$246b3o$248bo!

Combined H to G converters with the known B to G and R to G converters: NEpath-25, NEpath45 (for Herschel predecessor), NEpath-73, NWpath71, NWpath73, SEpath56, SEpath63, SEpath76, SEpath90, SEpath108, SWpath-42, SWpath-9 (H to G7 converter), SWpath52, SWpath70:
x = 936, y = 128, rule = B3/S23
18$34b2o11bo$34bobo8b3o$35b2o7bo$44b2o$124b2o$125bo$125bobo$126b2o$27b
2o274b2o$27bobo273b2o$28bo2$541bo$168bo370b3o$159b2o5b3o369bo112bo$
159b2o4bo372b2o111b3o$165b2o125b2o229bo130bo$292bobo227bobo128b2o$293b
o228b2o101bo43bo$164b2o457b3o42bobo$164b2o345b2o109bo46b2o$129bo382bo
109b2o$27b2o14b2o83bobo381bobo92bo72b2o$27b2o14bobo83b2o382b2o91bobo
71bo$45bo118b2o440b2o70bobo$45b2o37b2o65b2o11b2o512b2o$84b2o10b2o53b2o
442b2o$96bo70b2o313bo113bo$82b4o8bobo70bobo251bo58b3o113bobo$39b2o41bo
3bo3b2o2b2o73bo249b3o57bo117b2o$39b2o44b2o3b2o77b2o121b2o124bo60b2o31b
2o$134b2o29b2o125b2o124b2o44bo46bobo209bo$135bo6b2o21bobo235bo59bobo
45bo167b2o42b3o$87bo44b3o7bo24bo234bobo58b2o45b2o167bobo44bo$26bo60bo
7b2o35bo10b3o21b2o196b2o35b2o277bo43b2o$25bobo59b3o5b2o48bo210bo8bo86b
2o227b2o$25b2o62bo265bobo5bobo25b2o60bo142b2o$153bo150b2o50bo6b2o27bo
60bobo139bobo$152bobo149b2o40b2o44bobo59b2o139bo298bo$152b2o107b2o83b
2o45b2o124b2o73b2o298b3o10bo$261bo257b2o283bo92bo7b3o$259bobo77b2o331b
2o59b2o69b3o10bo78b2o6bo$84b2o173b2o30bo47b2o331b2o59b2o72bo7b3o86b2o$
84b2o204bobo513b2o6bo$290b2o425b2o95b2o$453b2o148b2o112b2o$225b2o165b
2o58bobo148b2o176bo$200b2o24bo164bobo58bo328b3o103b2o$40b2o159bo13b2o
6b3o165bo59b2o331bo69bo32b2o$40b2o33b2o124bobo11b2o6bo166b2o267bob2o
108b2o10b2o12b2o55bobo$76bo125b2o455b2obo109bo24b2o55b3ob2o49b2o$76bob
o88b2o350bo96b2o154bobo81bob2o49bobo$77b2o88b2o349bobo95bo156b2o44b2o
89bo$518b2o94bobo202bobo$460b2o152b2o204bo$399b2o59b2o119b2o$257bo47b
2o48b2o42b2o181bo$202bo53bobo46b2o48b2o225bobo151b2o$202bobo51b2o319b
2o4b2o151b2o118b2o$78b2o122b3o364bo7b2o38bo155bo81bobo$77bobo124bo29b
2o154b2o81b2o94b3o44bobo154bobo79bo$16bo60bo156b2o155bo20b2o59bo98bo
44bo59b2o94b3o78b2o25b2o$16bobo20b2o35b2o313bobo18bo58bobo97b2o104bobo
95bo11b2o92b2o$16b3o20bo352b2o16bobo58b2o176bo29bo107bo$18bo10b2o3b2o
4b3o44b2o54bo266b2o151b2o84bobo27b2o107b3o$27bo2bo4bo6bo44bobo53bobo
20b2o43b2o3b2o238bo76b2o29bo84b3ob2o135bo76b2o$27b3o4bo53bo54b3o20bo
45bo3bo34b2o203b3o74b2o29bobo84bob2o213bo43b2o$34b2o67b2o40bo10b2o3b2o
4b3o39b3o5b3o23b2o6bo195bo11bo105b2o44bo6b2o245b3o44bobo$27b2obo72bo
50bo2bo4bo6bo39bo9bo24bo7b3o192b3o8b2o14bo135bobo5b2o202b2o41bo48bo$
27bob2o73b3o47b3o4bo79b3o10bo26bo49bo118bo22bobo134bobo209bobo52b2o35b
2o$106bo54b2o78bo39bobo20b2o25bobo20b2o36bo56b2o23bo136bo100bo111bo52b
o$154b2obo123b3o20bo26b3o20bo37bobo282b2o33bobo20b2o87b2o52b3o$154bob
2o125bo10b2o3b2o4b3o25bo10b2o3b2o4b3o34b3o282b2o33b3o20bo144bo$292bo2b
o4bo6bo34bo2bo4bo6bo36bo225bo93bo10b2o3b2o4b3o$292b3o4bo42b3o4bo215bo
53bobo29b2o70bo2bo4bo6bo$299b2o48b2o53b2o159bobo52b2o30bo70b3o4bo$292b
2obo46b2obo58b2o2b2o155b3o81b3o25b2o51b2o$292bob2o46bob2o62bobo37bo20b
2o96bo19b2o60bo27b2o44b2obo$410bo37bobo18bobo37bo78bo23bo50b2o58bob2o$
410b2o36b3o20bo37bobo20b2o43b2o6b3o22b3o49bobo$450bo11b2o7b2o36b3o20bo
44b2o2b2o2bo23bo52bo$462bo48bo10b2o3b2o4b3o45bobobo23b2o50b2o8b2o$463b
3o54bo2bo4bo6bo47bob2o84bo$465bo54b3o4bo55bo2bo85b3o$527b2o55b2o88bo$
520b2obo$520bob2o!
Guam
 
Posts: 37
Joined: October 7th, 2011, 3:50 pm

Re: Thread For Your Accidental Discoveries

Postby David » January 17th, 2013, 1:11 am

This eater 4 reaction dies completely.

x = 27, y = 27, rule = B3/S23
15b2o$15bobo$17bo$13b4ob2o$13bo2bobobo$18bobo$18bo2b2o$17b2o4bo$19b5o$
14b3o2bo4b2o$14bo2bo4b2o2bo$14bo2bo5bob2o$15b3o5bo$3b2o17b2o$3bo5b3o$
2obo5bo2bo$o2b2o4bo2bo$b2o4bo2b3o$3b5o$3bo4b2o$4b2o2bo$6bobo$6bobobo2b
o$7b2ob4o$9bo$9bobo$10b2o!


EDIT: Also this.
x = 33, y = 33, rule = B3/S23
10b2o9b2o$9bobo9bobo$9bo13bo$7b2ob4o5b4ob2o$6bobobo2bo5bo2bobobo$6bobo
15bobo$4b2o2bo15bo2b2o$3bo4b2o13b2o4bo$3b5o17b5o$b2o4bo2b3o7b3o2bo4b2o
$o2b2o4bo2bo7bo2bo4b2o2bo$2obo5bo2bo7bo2bo5bob2o$3bo5b3o9b3o5bo$3b2o
23b2o6$3b2o23b2o$3bo5b3o9b3o5bo$2obo5bo2bo7bo2bo5bob2o$o2b2o4bo2bo7bo
2bo4b2o2bo$b2o4bo2b3o7b3o2bo4b2o$3b5o17b5o$3bo4b2o13b2o4bo$4b2o2bo15bo
2b2o$6bobo15bobo$6bobobo2bo5bo2bobobo$7b2ob4o5b4ob2o$9bo13bo$9bobo9bob
o$10b2o9b2o!


EDIT 2: This makes a pulsar:
x = 35, y = 29, rule = B3/S23
10b2o11b2o$9bobo11bobo$9bo15bo$7b2ob4o7b4ob2o$6bobobo2bo7bo2bobobo$6bo
bo17bobo$4b2o2bo17bo2b2o$3bo4b2o15b2o4bo$3b5o19b5o$b2o4bo2b3o9b3o2bo4b
2o$o2b2o4bo2bo9bo2bo4b2o2bo$2obo5bo2bo9bo2bo5bob2o$3bo5b3o11b3o5bo$3b
2o25b2o2$3b2o25b2o$3bo5b3o11b3o5bo$2obo5bo2bo9bo2bo5bob2o$o2b2o4bo2bo
9bo2bo4b2o2bo$b2o4bo2b3o9b3o2bo4b2o$3b5o19b5o$3bo4b2o15b2o4bo$4b2o2bo
17bo2b2o$6bobo17bobo$6bobobo2bo7bo2bobobo$7b2ob4o7b4ob2o$9bo15bo$9bobo
11bobo$10b2o11b2o!
Call me "Dannyu NDos" in Forum. Call me "Bag Sinhwan"(박신환) in Wiki.
David
 
Posts: 209
Joined: November 3rd, 2009, 2:47 am
Location: Daejeon, South Korea

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