Thread For Your Accidental Discoveries

[knightlife]

@Monocot - That is rare indeed, the HWSS makes a 90 degree turn using only three simple still life objects! The spare glider could concievably restore the original blocks and loaf by using Herschel conduits in order to make a stable reflector for a HWSS, but that would still require a large set of conduits.
Nice discovery...

Code: Select all

x = 18, y = 42, rule = B3/S23
b2o$o2bo$bobo$2bo7$16b2o$16b2o$7b2o$7b2o22$8bo$7b3o$6b2obo$6b3o$6b3o$
6b3o$7b2o!

[Tropylium]

Running century-on-block collisions. Found a p176 agar that repeatedly constructs and consumes blocks.

Code: Select all

x = 23, y = 23, rule = B3/S23:T23,23
5$14b2o$14b2o9$19bo$18b3o$17b2o!

The blocks can be replaced by domino sparks, but alas, they are located too close to the engine so it doesn't seem this can be made into a finite hassler using anything less than 8 glider streams…

---

Also, some converters.

Fast C to ∏:

Code: Select all

x = 13, y = 10, rule = B3/S23
4bo$3bobo$3bobo$b3ob2o$o$b3ob2o$3bob2o$11bo$10b3o$9b2o!

Prepulsar + boat to HWSS:

Code: Select all

x = 21, y = 9, rule = B3/S23
11b3o$11bobo$11b3o4$2o9b3o5b2o$2o9bobo4bobo$11b3o5bo!

[137ben]

Fast C to ∏:

I think this merits an update to the pentadecathalon article "beyond herschels"!

[Extrementhusiast]

Table on table predecessor:

Code: Select all

x = 5, y = 9, rule = B3/S23
2b3o$4bo$3b2o2$2bo$2b2o$o$bo$bo!

[Tropylium]

Running century-on-block collisions.

And done. Other interesting result including…
—longest-lived reaction: 5165 gens

Code: Select all

x = 5, y = 8, rule = b3/s23
3bo$2b3o$b2o4$2o$2o!

—reaction with a MWSS output, also a temporary HWSS via the prev. mnt. prepulsar reaction

Code: Select all

x = 7, y = 3, rule = b3/s23
5bo$o3b3o$2ob2o!

—reaction temporarily producing a snake siamese aircraft carrier

Code: Select all

x = 11, y = 9, rule = b3/s23
2bo$b3o$2o5$9b2o$10bo!

(The block can be replaced by a glider and the pattern might be cleanable using 2 more, but that still doesn't add up to a more effectiv synthesis.)

—becomes symmetric, output includes dead spark coil

Code: Select all

x = 5, y = 12, rule = b3/s23
2o$2o8$3bo$2b3o$b2o!

—outputs two gliders on the same lane

Code: Select all

x = 7, y = 6, rule = b3/s23
2bo$b3o$2o2$5b2o$5bo!

—three recreated block reactions, alas the first two only produce sparks in addition and the third is fairly late along the line

Code: Select all

x = 7, y = 5, rule = b3/s23
2o$2o$5bo$4b3o$3b2o!

Code: Select all

x = 8, y = 3, rule = b3/s23
6bo$2o3b3o$2o2b2o!

Code: Select all

x = 9, y = 15, rule = b3/s23
2o$2o11$7bo$6b3o$5b2o!

—this one shows an interesting R + spark > forward C reaction

Code: Select all

x = 14, y = 17, rule = b3/s23
bo$2o13$12bo$11b3o$10b2o!

—C to R, but with awkward placing

Code: Select all

x = 9, y = 3, rule = b3/s23
2o5bo$2o4b3o$5b2o!

Also the C > ∏ works with a regular Eater 1 too:

Code: Select all

x = 10, y = 7, rule = b3/s23
2o$bo$bobo$2b2o$8bo$7b3o$6b2o!

[Tropylium]

Also some unrelated stuff.

A clean precedessor of the p2 Butterfly:

Code: Select all

x = 20, y = 20, rule = B3/S23
b2o$o2bo$o3bo$bo3bo$2bo3bo$3bo3bo$4bo3bo$5bo3bo$6bo3bo$7bo3bo$8bo3bo$
9bo3bo$10bo3bo$11bo3bo$12bo3bo$13bo3bo$14bo3bo$15bo3bo$16bo2bo$17b2o!

A precedessor of trans offset very long hooks:

Code: Select all

x = 12, y = 7, rule = B3/S23
10b2o$7b2obo$4b2obo2bo$b2obo2bob2o$bo2bob2o$bob2o$2o!

TL + B > LWSS

Code: Select all

x = 16, y = 17, rule = B3/S23
o$2o$o2$3b2o$4b2o8b2o$3b2o9b2o$3bo8$2o$2o!

[skomick]

...an interesting R + spark > forward C reaction

Just for fun, I loosely put together a fuse - I think it runs at c5/16:

Code: Select all

x = 191, y = 270, rule = B3/S23
40bobo$33bo5bo2bo$30b4o4b2o$30b2o5bo$28bo7b4o$28b4o3bo4bo$27bo7bo2bo$
26b3o2bo3bo2bo$27b3o6bo$28bo8b4obo$29b3obo4bo3bo$29bo2b2o5bo$30b3o6bob
o$32bo$30bo7b3o$30bobo5b2o$29bo8b3o$30bobo$30bo8bobo$32bo5bo2bo$30b3o
5bo$29b3o5bo2bo57bo2bo$30b2o5b2o58bo$31b2o2bobo59bo3bo5b3o$32b2obobo
59b4o5b5o$37bo67b2ob3o6b2o$32b2obobo2bo65b2o7bo4bo$31b2o2bob2o12b2o61b
o$30b2o5bo2bo9bo2bo60bo5bo$29b2obo2bobo14b3o59b6o$28bo2b3obobo14b3o45b
2o$28bo8bo14b3ob3o11b3o11b3o14bo$28bo2b3obobo14b3o45b2o$29b2obo2bobo
14b3o45b2o$30b2o5bo2bo9bo2bo46bo$31b2o2bob2o12b2o46bo$32b2obobo2bo15b
4o5b2o$37bo18bo3bo3b2ob2o$32b2obobo18bo8b4o21b3o$31b2o2bobo19bo2bo5b2o
22bo$30b2o5b2o52bo$29b3o5bo2bo20bo$30b3o5bo20bo2bo3bo$32bo5bo2bo16bo7b
2o17b3o$30bo8bobo16bo6b2o18bo$30bobo25b2o4b2o20bo$29bo8b3o19bo18bobo$
30bobo5b2o22b2o14bo2bo$30bo7b3o$32bo45b3o$30b3o6bobo14b4o$29bo2b2o5bo
16bo3bo13bo2bo$29b3obo4bo3bo13bo16bo$28bo8b4obo14bo2bo12bo3bo$27b3o6bo
36b4o$26b3o2bo3bo2bo$27bo7bo2bo$28b4o3bo4bo$28bo7b4o$30b2o5bo$30b4o4b
2o$33bo5bo2bo$40bobo5$136bo$134b2o$135b2o11$17bobo$10bo5bo2bo$7b4o4b2o
$7b2o5bo$5bo7b4o$5b4o3bo4bo$4bo7bo2bo$3b3o2bo3bo2bo$4b3o6bo$5bo8b4obo$
6b3obo4bo3bo$6bo2b2o5bo$7b3o6bobo$9bo$7bo7b3o$7bobo5b2o$6bo8b3o$7bobo$
7bo8bobo$9bo5bo2bo$7b3o5bo$6b3o5bo2bo$7b2o5b2o58b4o93bo$8b2o2bobo59bo
3bo90b2o$9b2obobo59bo8b2o85b2o$14bo60bo2bo3b2ob3o$9b2obobo2bo65b5o$8b
2o2bob2o7bobo58b3o4b6o$7b2o5bo2bo5bo67bo5bo$6b2obo2bobo12bo63bo$5bo2b
3obobo3bo5b2o2bo46b2o15bo4bo$5bo8bo3bo5b6o12b3o11b3o11b3o2bobo16b2o$5b
o2b3obobo3bo5b2o2bo46bo$6b2obo2bobo12bo$7b2o5bo2bo5bo$8b2o2bob2o7bobo
8bo2bo5b2o25b2o$9b2obobo2bo15bo8b4o24bobo$14bo18bo3bo3b2ob2o24bo$9b2ob
obo18b4o5b2o$8b2o2bobo$7b2o5b2o49b2o$6b3o5bo2bo21b2o24bobo$7b3o5bo21bo
4b3o3b2o15bo$9bo5bo2bo16b2o4b5o6b2o$7bo8bobo16bo6b2obo4b3o$7bobo25bo9b
2o4bo8b2o$6bo8b3o18bo2bo5b2o13bobo$7bobo5b2o21bo6b2o13bo$7bo7b3o$9bo
24bo2bo$7b3o6bobo14bo$6bo2b2o5bo16bo3bo$6b3obo4bo3bo13b4o13b4o$5bo8b4o
bo30bo3bo$4b3o6bo36bo$3b3o2bo3bo2bo35bo2bo$4bo7bo2bo$5b4o3bo4bo170b2o$
5bo7b4o171bo$7b2o5bo173bobo$7b4o4b2o172b2o$10bo5bo2bo$17bobo3$109bobo$
109b2o$110bo2$174b2o$107bo66b2o$106b2o$106bobo3$14bobo$7bo5bo2bo$4b4o
4b2o$4b2o5bo$2bo7b4o$2b4o3bo4bo$bo7bo2bo$3o2bo3bo2bo35bo2bo$b3o6bo36bo
$2bo8b4obo30bo3bo$3b3obo4bo3bo13b4o13b4o122b2o$3bo2b2o5bo16bo3bo137b2o
$4b3o6bobo14bo143bo$6bo24bo2bo$4bo7b3o$4bobo5b2o21bo6b2o13bo$3bo8b3o
18bo2bo5b2o13bobo$4bobo25bo9b2o4bo8b2o$4bo8bobo16bo6b2obo4b3o$6bo5bo2b
o16b2o4b5o6b2o$4b3o5bo21bo4b3o3b2o15bo$3b3o5bo2bo21b2o24bobo$4b2o5b2o
49b2o$5b2o2bobo$6b2obobo18b4o5b2o$11bo18bo3bo3b2ob2o24bo$6b2obobo2bo
15bo8b4o24bobo$5b2o2bob2o7bobo8bo2bo5b2o25b2o$4b2o5bo2bo5bo$3b2obo2bob
o12bo$2bo2b3obobo3bo5b2o2bo46bo$2bo8bo3bo5b6o12b3o11b3o11b3o2bobo16b2o
$2bo2b3obobo3bo5b2o2bo46b2o15bo4bo$3b2obo2bobo12bo63bo$4b2o5bo2bo5bo
67bo5bo$5b2o2bob2o7bobo58b3o4b6o$6b2obobo2bo65b5o$11bo60bo2bo3b2ob3o$
6b2obobo59bo8b2o$5b2o2bobo59bo3bo$4b2o5b2o58b4o$3b3o5bo2bo$4b3o5bo$6bo
5bo2bo$4bo8bobo$4bobo131b2o$3bo8b3o122b2o$4bobo5b2o125bo$4bo7b3o$6bo$
4b3o6bobo$3bo2b2o5bo$3b3obo4bo3bo26bobo$2bo8b4obo19bo5bo2bo$b3o6bo22b
4o4b2o$3o2bo3bo2bo20b2o5bo$bo7bo2bo18bo7b4o$2b4o3bo4bo16b4o3bo4bo$2bo
7b4o16bo7bo2bo$4b2o5bo17b3o2bo3bo2bo$4b4o4b2o16b3o6bo36b4o$7bo5bo2bo
14bo8b4obo14bo2bo12bo3bo$14bobo15b3obo4bo3bo13bo16bo$32bo2b2o5bo16bo3b
o13bo2bo$33b3o6bobo14b4o$35bo45b3o$33bo7b3o$33bobo5b2o22b2o14bo2bo$32b
o8b3o19bo18bobo$33bobo25b2o4b2o20bo$33bo8bobo16bo6b2o18bo$35bo5bo2bo
16bo7b2o17b3o$33b3o5bo20bo2bo3bo$32b3o5bo2bo20bo$33b2o5b2o52bo$34b2o2b
obo19bo2bo5b2o22bo$35b2obobo18bo8b4o21b3o$40bo18bo3bo3b2ob2o$35b2obobo
2bo15b4o5b2o$34b2o2bob2o12b2o46bo$33b2o5bo2bo9bo2bo46bo$32b2obo2bobo
14b3o45b2o$31bo2b3obobo14b3o45b2o$31bo8bo14b3ob3o11b3o11b3o14bo$31bo2b
3obobo14b3o45b2o$32b2obo2bobo14b3o59b6o$33b2o5bo2bo9bo2bo60bo5bo$34b2o
2bob2o12b2o61bo$35b2obobo2bo65b2o7bo4bo$40bo67b2ob3o6b2o$35b2obobo59b
4o5b5o$34b2o2bobo59bo3bo5b3o$33b2o5b2o58bo$32b3o5bo2bo57bo2bo$33b3o5bo
$35bo5bo2bo$33bo8bobo$33bobo$32bo8b3o$33bobo5b2o$33bo7b3o$35bo$33b3o6b
obo$32bo2b2o5bo$32b3obo4bo3bo$31bo8b4obo$30b3o6bo$29b3o2bo3bo2bo$30bo
7bo2bo$31b4o3bo4bo$31bo7b4o$33b2o5bo$33b4o4b2o$36bo5bo2bo$43bobo!

[Monocot]

Code: Select all

x = 7, y = 11, rule = B3/S23
4bo$2bobo$3b2o4$6o$o5bo$o$bo4bo$3b2o!

Glider+HWSS-spark=mess (R-pentomino and random stuff)

[Tropylium]

Code: Select all

x = 7, y = 11, rule = B3/S23
4bo$2bobo$3b2o4$6o$o5bo$o$bo4bo$3b2o!

Glider+HWSS-spark=mess (R-pentomino and random stuff)

Shift the glider one cell to the left and you'll get a much bigger mess (11K+ generations)…

[Eylrid]

I was messing around with using glider streams to cut through a field of junk, and discovered this:

Code: Select all

x = 405, y = 398, rule = B3/S23
8$78bobo$76bo3bo$69b2o5bo19bo$69b2o4bo4bo14b4o38bobo$76bo12bo4b2obobo
3b2o32bo3bo$28bobo45bo3bo3bob2o5b3obo2bo2b2o16bo19bo5b2o$28bo3bo45bobo
2bob4o5b2obobo19b4o14bo4bo4b2o$12bo19bo5b2o43b2o2b2o6b4o14b2o3bobob2o
4bo12bo$10b4o14bo4bo4b2o56bo16b2o2bo2bob3o5b2obo3bo3bo45bobo$4b2o3bobo
b2o4bo12bo85bobob2o5b4obo2bobo45bo3bo$4b2o2bo2bob3o5b2obo3bo3bo86b4o6b
2o2b2o43b2o5bo19bo$9bobob2o5b4obo2bobo90bo56b2o4bo4bo14b4o$10b4o6b2o2b
2o159bo12bo4b2obobo3b2o$12bo63bobo106bo3bo3bob2o5b3obo2bo2b2o$76b2o
109bobo2bob4o5b2obobo$77bo114b2o2b2o6b4o$139bobo63bo$140b2o$30bobo107b
o$31b2o$31bo38bo$68b2o115bobo$69b2o114b2o$147bo38bo$148b2o$38bo108b2o$
39b2o$38b2o$61bobo115bo$61b2o114b2o$62bo115b2o$154bobo$155b2o$45bobo
107bo$46b2o$46bo8bo$53b2o115bobo$54b2o114b2o$162bo8bo$51b2o110b2o$51b
2o109b2o2$165b2o$165b2o5$60bobo$61b2o$61bo$155bobo$155b2o$156bo10$75bo
bo$76b2o$76bo$140bobo$140b2o$141bo10$90bobo$91b2o$91bo$125bobo$125b2o$
126bo10$105bobo$106b2o$106bo28$135bobo$136b2o$136bo28$165bobo$166b2o$
166bo28$195bobo$196b2o$196bo28$225bobo$226b2o$226bo28$255bobo$256b2o$
256bo28$285bobo$286b2o$286bo28$315bobo$316b2o$316bo28$345bobo$346b2o$
346bo28$375bobo$376b2o$376bo6$392b2o$392b2o6$396b2o$392b2o2b2o$391bobo
$391b2o!

It's a slow synthesis that builds a double line of beehives towards the source of the gliders.

[Extrementhusiast]

That's a well-known crystal. It's used in the p2700 entry in the DRH-oscillators file.

[Monocot]

@Monocot - That is rare indeed, the HWSS makes a 90 degree turn using only three simple still life objects! The spare glider could concievably restore the original blocks and loaf by using Herschel conduits in order to make a stable reflector for a HWSS, but that would still require a large set of conduits.
Nice discovery...

Thanks for the praise, but you where the one who discovered the instable pi-to-HWSS-converter.
I merely found a way to make a pi-heptomino from a block and a HWSS and inserted it in the right way. It goes without saying, that it is possible to convert every object which is able to become a pi-heptomino by colliding with a small still life into a HWSS - and, if the necessary stable components to rebuild the three still lifes are in place, repeatedly.

Unfortunately I'm overwhelmed by the thought of designing the required Herschel tracks, but if I come around to it I will post stuff about this specific instable Pi-to-HWSS-converter.

Synchronizing 9 gliders with Herschels seems to be a daunting task.

Shift the glider one cell to the left and you'll get a much bigger mess (11K+ generations)…

Hmmm, you are right - but the thing that struck me about the reaction was that the HWSS survived.

So, my accidental discovery for today (might be known): The c6-diagonal ship "seal" by Nicolay Beluchenko is able to eat up a diagonal row of blinkers:

Code: Select all

x = 49, y = 49, rule = B3/S23
3o3$3b3o3$6b3o3$9b3o3$12b3o3$21bo$16b3ob4o$14b2ob2ob2ob3o$17bo4bob2o$
14bo2bo6b2ob2o$14bo2bo4bo$16bo2b2obo4b2o$14b2obo2bobo4b2o$15bob5obo3bo
b2o$15b2o6bo2bo2bo$18b3obo3bo$17bo2bo4b2o3bo$23b3o$17b2ob4ob4o4bo$18bo
b2o3bo3b2ob3o$27bo2bob2obo$22b2o3bo6b2ob2o$22b2o5bo5bo3bo$29b2o7b2o$
27b2obo3bo3b2o$27bo2bo5b2ob3o$31b2o4bobo5b2obo$33bobo3bo3b2obobo$28b2o
4bo4bo2bo4bo$36b3o4b2o$30b3obo4bo$30b2o2bob2o$35b3o$36bo$36bo$35b2o$
34b2o$34b2o$34b2ob2o!

[Monocot]

I found out that WinLifeSearch v0.61 works in a VirtualBoxed Windows XP under Xubuntu.
Unfortunately abysmally slow. Both was expectable.

It also works fine in wine.

These two findings where my accidental discoveries, however I found this p3 oscillators during the test runs:

Code: Select all

x = 35, y = 15, rule = B3/S23
2o4bo5b2o5b2o3bo3b2o$2bobobobo2b4obo2bobobob2ob3o$3bo4b4o5bobobobo2b3o
2bob2o$2ob5o10bo3bo5b3o3bo$2bo3b2o6b3obobobobo3bobo2bo$2bo3bo11bo5b4o
2bobo$6bo4bobobo3bob4obo2b2ob2o$2b3o6b2obob4obo3bo4bobo$2bob3o5b2obo3b
o2bobo3b3obo$4bo8bob2ob5ob4o2bob2o$3bo2bo2bobo6bo4bo5b2o2bo$4b2ob2o2b
2obo5b2o2bob3o2b2o$b3o2bo4bo9bob2obo2bo$bo2bobobobobo3b2obobo2bo2bobob
2o$3b2ob2o3bo4bob2ob2o3b2ob2obo!

Supposedly someone else found it already because the needed search time was quite short, however I wasn't able to find it in the pattern collections I know of - has someone a name or a code for it?

[Tropylium]

however I found this p3 oscillators during the test runs:

Code: Select all

x = 35, y = 15, rule = B3/S23
2o4bo5b2o5b2o3bo3b2o$2bobobobo2b4obo2bobobob2ob3o$3bo4b4o5bobobobo2b3o
2bob2o$2ob5o10bo3bo5b3o3bo$2bo3b2o6b3obobobobo3bobo2bo$2bo3bo11bo5b4o
2bobo$6bo4bobobo3bob4obo2b2ob2o$2b3o6b2obob4obo3bo4bobo$2bob3o5b2obo3b
o2bobo3b3obo$4bo8bob2ob5ob4o2bob2o$3bo2bo2bobo6bo4bo5b2o2bo$4b2ob2o2b
2obo5b2o2bob3o2b2o$b3o2bo4bo9bob2obo2bo$bo2bobobobobo3b2obobo2bo2bobob
2o$3b2ob2o3bo4bob2ob2o3b2ob2obo!

Supposedly someone else found it already because the needed search time was quite short, however I wasn't able to find it in the pattern collections I know of - has someone a name or a code for it?

AFAIK there's much less interest in finding oscillators (at least, ones without useful sparks) than spaceships. Unless there's some humungous oscillator search collection out there I'm not aware of, there are probably much smaller p3s or p2s that have not been collected anywhere…

Also even if there was, this would probably still not be included since you have 2 uninteracting rotors there:

Code: Select all

x = 36, y = 50, rule = B3/S23
2o4bo5b2o$2bobobobo2b4obo$3bo4b4o5bo$2ob5o10bob2o$2bo3b2o6b3obobo$2bo
3bo11bo2bo$6bo4bobobo3bobo$2b3o6b2obob4ob2o$2bob3o5b2obo3bo$4bo8bob2ob
5o$3bo2bo2bobo6bo3bo$4b2ob2o2b2obo5b2o$b3o2bo4bo9bobob2o$bo2bobobobobo
7bo2b2obo$3b2ob2o3bo8b2o4$b2o4bo5b2o5b2o3bo3b2o$3bobobobo2b4obo2bobobo
b2ob3o$4bo4b4o5bobobobo2b3o2bob2o$b2ob5o10bo3bo5b3o3bo$3bo3b2o6b3obobo
bobo3bobo2bo$3bo3bo11bo5b4o2bobo$7bo4bobobo3bob4obo2b2ob2o$3b3o6b2obob
4obo3bo4bobo$3bob3o5b2obo3bo2bobo3b3obo$5bo8bob2ob5ob4o2bob2o$4bo2bo2b
obo6bo4bo5b2o2bo$5b2ob2o2b2obo5b2o2bob3o2b2o$2b3o2bo4bo9bob2obo2bo$2bo
2bobobobobo3b2obobo2bo2bobob2o$4b2ob2o3bo4bob2ob2o3b2ob2obo4$21bo3bo3b
2o$20bobobob2ob3o$20bobobo2b3o2bob2o$18b2o3bo5b3o3bo$17bobobobobo3bobo
2bo$17bobo5b4o2bobo$18bobob4obo2b2ob2o$20bobo3bo4bobo$19bo3bobo3b3obo$
19b2ob2ob4o2bob2o$30b2o2bo$27b3o2b2o$27bo2bo$28b2o!

[Monocot]

AFAIK there's much less interest in finding oscillators (at least, ones without useful sparks) than spaceships. Unless there's some humungous oscillator search collection out there I'm not aware of, there are probably much smaller p3s or p2s that have not been collected anywhere…

Ah, thank you very much for clearing that up. I suppose that explains why I didn't found it anywhere.
So, as the first poster of this thingy I would suggest the name "Ugly P3 Oscillator" or, short "UP3". (Just kidding.)

If I get around to it, I will do a screening for (useless) p2 and p3 oscillators up to a given size I still have to determine on my spare computer.

Also even if there was, this would probably still not be included since you have 2 uninteracting rotors there:

Thank you again for pointing this out!
How did know that there where two not interacting rotors in the oscillator?
And how did you find the stabilizations for the smaller half?

Did you use a search program or did you do it by hand?

[Tropylium]

Also even if there was, this would probably still not be included since you have 2 uninteracting rotors there:

Thank you again for pointing this out!
How did know that there where two not interacting rotors in the oscillator?

I've put together a simple oscillator analysis Life variant (it color-codes bushing, casing, and rotor cells). Just plain LifeHistory helps, too…

They might even be further dividable; eg. there's a Z-pentomino section of the rotor in the bigger half that is not connected to the rest, but is required for stabilizing the stator. (Similar setups are found in many considered-basic oscillators tho, eg. the LW and MW volcanoes, or the usage of toads as variable-size induction coils in some p2 and p4 oscs.)

And how did you find the stabilizations for the smaller half?

Did you use a search program or did you do it by hand?

By hand. I don't claim it to be optimal, but developing a casing isn't really too hard once you know what parts you can change and what parts you cannot (a bit of practice in still life construction also helps).

…just noticed a way to condense one corner a little more by changing the bushing as well, actually:

Code: Select all

x = 18, y = 14, rule = B3/S23
3bo3bo3b2o$2bobobob2ob3o$2bobobo2b3o2bob2o$2o3bo5b3o3bo$bobobobo3bobo
2bo$bo5b4o2bobo$2ob5obo2b2ob2o$2bo5bo4bobo$2bob2obo3b3obo$3bobob4o2bob
2o$12b2o2bo$9b3o2b2o$9bo2bo$10b2o!

[Monocot]

Thanks for the explanation, Tropylium.

I did another search in the meantime, and another outstanding ugly p3 oscillator was found.
If I'm not much mistaken, there are again 2 noninteracting rotors, and no interesting spark:

Code: Select all

x = 21, y = 21, rule = B3/S23
10bo2b2ob2o$5b2o2bobo2bobobo$3b3obo2bob2o4bo$bo3bob2obobo4bo$bo2bo2bo
2bobobobo$bo5bobobob2ob4o$4bob4obo3bo3bo$4bo5bobobo2bo$5b4obo2bobob2o$
2b3o4bo2b2obo3bo$bo3bo3bobobo3b3o$bobobo4bobo3bo$5bo2b5obo3b2o$2bobo3b
o7bob2o$3b2o2bo2bob2ob3o$2bo2b3obo3bobobo$bob2o3bob3o2bob2o$2o3b2obobo
4bobo$2o2b3obo2bobobobobo$bo4b2o2b2ob2o3b2o!

[Tropylium]

Thanks for the explanation, Tropylium.

I did another search in the meantime, and another outstanding ugly p3 oscillator was found.
If I'm not much mistaken, there are again 2 noninteracting rotors, and no interesting spark:

Code: Select all

x = 21, y = 21, rule = B3/S23
10bo2b2ob2o$5b2o2bobo2bobobo$3b3obo2bob2o4bo$bo3bob2obobo4bo$bo2bo2bo
2bobobobo$bo5bobobob2ob4o$4bob4obo3bo3bo$4bo5bobobo2bo$5b4obo2bobob2o$
2b3o4bo2b2obo3bo$bo3bo3bobobo3b3o$bobobo4bobo3bo$5bo2b5obo3b2o$2bobo3b
o7bob2o$3b2o2bo2bob2ob3o$2bo2b3obo3bobobo$bob2o3bob3o2bob2o$2o3b2obobo
4bobo$2o2b3obo2bobobobobo$bo4b2o2b2ob2o3b2o!

Basically yes, but the lowest part also detaches on its own:

Code: Select all

x = 57, y = 31, rule = B3/S23
4b2o2b2o14bo2b2ob2o$2b3obo2bo9b2o2bobo2bobobo$o3bob2obob2o4b3obo2bob2o
4bo$o2bo2bo2bobo3bo3bob2obobo4bo13b2o7b2o$o5bobo2bo3bo2bo2bo2bobobobo
15bo4bobobo$3bob4obo4bo5bobobob2ob4o10bo4b3obo$3bo5bo8bob4obo3bo3bo8b
4o2bo3bobo$4b5o9bo5bobobo2bo9bo5bobobo2bo$6bo12b4obo2bobob2o9b4obo2bob
ob2o$16b3o4bo2b2obo3bo5b3o4bo2b2obo3bo$15bo3bo3bobobo3b3o4bo3bo3bobobo
3b3o$15bobobo4bobo3bo7bobobo4bobo3bo$19bo2b5obo3b2o8bo2b5obo3b2o$16bob
o3bo7bob2o5bobo3bo7bob2o$17b2o2bo2bob2ob3o8b2o2bo2bob2ob3o$16bo2b3obo
3bobobo7bo2b3obo3bobobo$15bob2o3bob3o2bob2o5bob2o3bob3o2bob2o$14b2o3b
2obobo4bobo5b2o3b2obo4b3obo$14b2o2b3obo2bobobobobo3b2o2b3obo3bo6bo$15b
o4b2o2b2ob2o3b2o4bo4b2o4b2o4b2o3$37b2o$37b2o$42b2o$35b4o2bo2bo$35bo3bo
2b3o$38bob2o3b2o$37b2o3b2obo$37b2o2b3obo$38bo4b2o!

The lowest part seems like an interesting oscillator on its own right — it contains a candelabra rotor with one side exposed that could be used as a variable-size induction coil.

(There's also a copy of the stillater rotor stabilizing the uppermost part.)

[Monocot]

Thanks, again!

Seems I have to learn quite a lot about GoL, still.

I've put together a simple oscillator analysis Life variant (it color-codes bushing, casing, and rotor cells). Just plain LifeHistory helps, too…

Would you share your simple oscillator analysis Life variant? Or have you done that already and I have overlooked it?

[skomick]

Would you share your simple oscillator analysis Life variant?...

I use Jason Summers' online "Oscillizer" which you can also download:
http://entropymine.com/jason/life/oscillizer/main.html

[Tropylium]

Would you share your simple oscillator analysis Life variant? Or have you done that already and I have overlooked it?

Sure. I just finished adding a few extra states for finer analysis of bushing:

Code: Select all

# Stator
# Will highlight the stator and the area of any Life oscillator.
# Extra states exist for distinguishing casing and bushing.
# state 0: OFF (at start, remains isolated)
# state 1: ON (at start, remains isolated)
# state 2: ON (later)
# state 3: OFF (later)
# state 4: OFF (at start, in contact with rotor)
# state 5: ON (at start, in contact with up to 1 rotor cells)
# state 6: ON (at start, in contact with up to 2 rotor cells)
# state 7: ON (at start, encased by rotor)
# state 8: OFF (at start, in contact with 3 rotor/bushing cells at a point)

n_states:9
neighborhood:Moore
symmetries:permute

var a={0,3,4,8}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}
var g={a}
var h={1,2,5,6,7}
var i={h}
var j={h}
var k={h}
var l={0,1,2,3,4,5,6,7,8}
var m={l}
var n={l}
var o={l}
var p={l}
var q={l}
var r={l}
var s={l}
var t={1,5,6,7}
var u={t}
var v={t}
var w={2,5,6,7}
var x={w}
var y={w}
var aa={a,1}
var ab={aa}
var ac={aa}
var ad={aa}
var ae={aa}

# 2-neighbor survival (casing)
1,t,u,3,b,c,d,e,f,5
1,t,u,a,b,c,d,e,f,1
1,i,j,a,b,c,d,e,f,5
5,2,2,0,b,c,d,e,f,6
5,2,2,a,b,c,d,e,f,7
6,6,j,a,b,c,d,e,f,7
h,i,j,a,b,c,d,e,f,h

# 3-neighbor survival
1,t,u,v,a,b,c,d,e,1
1,i,j,k,a,b,c,d,e,5
t,2,2,2,a,b,c,d,e,7
t,2,2,6,a,b,c,d,e,7
t,2,2,7,a,b,c,d,e,7
t,2,2,k,a,b,c,d,e,6
h,i,j,k,a,b,c,d,e,h

# 3-neighbour birth
g,i,j,k,a,b,c,d,e,2

# On states become state 3 (dead) otherwise
h,l,m,n,o,p,q,r,s,3

# State 0 colored to state 4 (anti-bushing) if next to a recent living cell
0,2,l,m,n,o,p,q,r,4

# States 0, 4 colored to state 8 (suppression point) if next to three living non-casing cells
0,w,x,y,aa,ab,ac,ad,ae,8
4,w,x,y,aa,ab,ac,ad,ae,8

# States 3, 4 remain by default

Code: Select all

color=0    0    0    0
color=1  255  255  255
color=2    0  255    0
color=3    0    0  127
color=4    0    0   31
color=5  255  255    0
color=6  255  127    0
color=7  255   63    0
color=8   31   31   31

So basically:
state 1 (white) = casing
state 2/3 (green/blue) = rotor
state 4 (dark blue) = influence
state 5 (yellow) = bushing corner
state 6 (orange) = bushing edge
state 7 (reddish orange) = internal bushing (usually immovable, but cf. blinker)
state 8 (grey) = suppression points (in need of adjacent casing cells)

Analysis takes up to one period + 1 generation. The middleweight volcano, for example:

Code: Select all

x = 13, y = 10, rule = stator
3.2A.A.2A$.3A.A.A.3A$A11.A$A.3A.A.4A$.A3.3A$3.A.A.A.2A.A$2.2A.A.A.A.
2A$3.A.A2.A$3.A2.2A$2.2A!

In addition you should be able to see how there are two sub-rotors here that conspire to keep an isolated bushing cell alive.

State 8 has a few bugs due to the time it can take for rotor cells to be colored in properly. Also the exact distribution of states 5 vs. 6 might be adjustable… I'm eg. tempted to color state 5 to state 6 if adjacent to another color 6, thus leaving 5 to only indicate bushing cells that can take two casing neighbors.

[Extrementhusiast]

3-engine cordership and loaf interact; both remain intact, and two beehives are created:

Code: Select all

x = 68, y = 65, rule = B3/S23
41b3o$42bo$42bo2bo$42bo2bo$43bobo$58b2o$58b2o3$42bo$41bobo$42bo$59bo$
58bo7b2o$40b4o22b2o$40b2o3bo10bo$41bo4bo9bobo$43bob2o10bo$44bo3$52bobo
b2o$35bo16bobo$34b3o17bo2bo$53bo3bo$34b3o16b4o2b2o$35b2ob2o14bo5b2o$
37bo21bo3$11b3o$12bo$12bo2bo$12bo2bo$13bobo$28b2o$28b2o$34bo$33b3o$12b
o19b2ob2o$11bobo18bobo$12bo19bo3$10b4o$10b2o3bo13bo$b2o8bo4bo11bobo$o
2bo9bob2o11bo$obo11bo15b2o$bo29bo$28b3o$29b2o$26bo$26b2o$26b2o$16b2o6b
2o$16b2o4b2o$22b2obo$24b2o5$24b2o$24b2o!

[Lewis]

Octagon II from soup:

Code: Select all

x = 20, y = 20, rule = 23/3
2b3ob7obobob2o$bo2b3o3bobob2o2bo$4o3b3ob2ob5o$ob3o4bobob4o$2o
b2ob2o3bob2obo2bo$2bo3bobob2obo4b2o$o3b9ob2o3bo$bo2bobo2bobob
o2b4o$b2o4bo2b3o$6bo3bo3bobo2bo$3bo6bo2b2o4bo$o2b3o2b4o2bo3bo
$2bob2o2b2o4b3obo$ob2o3b3o2b3ob2o$2o3bo3bob4o2b2o$2o3b2o4bob3o
bobo$2b2o4b2o4b4o$5b3obob3o3bobo$2b5o2bo2bobob2o$3bo5bob3o!

Trans-block and long hook eating tub from soup:

Code: Select all

x = 20, y = 20, rule = 23/3
b6o7b2o2b2o$3o2b2o2b3o2bo3b2o$4obo2bobobob3ob2o$ob2ob2obobob5o
b2o$4bobobo2bo4b2o$3bo3bo5bobo$bo6bobob3o$7bobo3bob4o$2o4bo2b
o2b2ob5o$b3ob2ob2o7b3o$bobo3b6ob4obo$2bo2b3ob3o2bo3b2o$3o2bob
2ob2ob3o2b2o$bob4o3b3obobobo$o3bobob5o3bob2o$b3o3bobobo2bobob
2o$2b2obo2b6o4b2o$2o3b2o2b2o2b5o$o4b4ob3obo4bo$3b4o2bobob2o2b
obo!

Rection produces a pseudo-oscillator made of 3 beacons:

Code: Select all

x = 11, y = 14, rule = 23/3
8bo$7b3o$6b2ob2o$7b3o$8bo2$b2o$o2bo$b2obo4$bo$2o!

[Guam]

New version of B to H converter (can be combined with F_166 or Lf_200).

Code: Select all

x = 28, y = 32, rule = B3/S23
7b2o$7b2o3$b2o$b2o$5b2o$5b2o2$26b2o$26b2o$2o$2o15$3b2obo7bo$3bob2o6b3o
5b2o$12bo2b2o4bobo$23bo$23b2o!

New R to glider (and to H) converter in 2 modifications.

Code: Select all

x = 44, y = 27, rule = B3/S23
b2o$bobo$2bo$18b2o$19bo$19b3o3$42b2o$41bobo$41b2o$obo$o2bo$o2bo$b2o33b
2o$35bo2bo$36b2o$9b2o$9bo$10b3o$7bo4bo$4bobobo$4b2o2bo$8b2o9b2o$18bobo
$18bo$17b2o!

Code: Select all

x = 42, y = 28, rule = B3/S23
31b2o$b2o28b2o$bobo$2bo9$obo$o2bo$o2bo$b2o3$9b2o$9bo30b2o$10b3o27b2o$
7bo4bo21b2o$4bobobo25b2o$4b2o2bo$8b2o$36b2o$29b2o5b2o$29b2o!

Second converter can be combined with F_166 or Lf_200. On the basis of this
converter was found new stable glider reflector (and glider to Herschel converter) with
repeat time of 444.

Code: Select all

x = 77, y = 115, rule = B3/S23
46b2o6bo$46b2o5bobo$54bo4$37b2o$37b2o3$59b2o$59bo$60b3o$62bo5$40b2o$
41bo$38b3o$38bo8$44b2o4b2o$44b2o4b2o4$49b2o$45b2o2b2o$44bobo$44bo$43b
2o2$71b2o$71bobo$73bo$73b2o2$57b2o$56bobo$37b2o17bo$37b2o16b2o4$28b2o$
29bo$29bobo$30b2o33b2o$65b2o2$27b2o43bob2o$28bo9b2o4b2o26b2obo$28bobo
7bobo3bobob2o5b2o$29b2o8bo6bob2o5b2o$46bo$35b2o6b2obo$35b2o6b2obobo$
47b2o5$43b2o$34b2o7bo$34b2o5bobo$41b2o$51b2o$50bobo$50bo$49b2o3$31b2o$
32bo$29b3o$6bo6b2o14bo36b2o$4bobo6b2o21b2o28b2o$5b2o29bobo$37bo9$20b2o
$20b2o2$2b2o$bobo$bo$2o42b2o$44bo30b2o$45b3o27b2o$42bo4bo21b2o$11b2o
26bobobo25b2o$10bobo26b2o2bo$10bo32b2o$9b2o60b2o$22b2o40b2o5b2o$22b2o
40b2o3$24b2o$24b2o!

[Sokwe]

new stable glider reflector (and glider to Herschel converter) with repeat time of 444

Impressive! Is this now the fastest known 90-degree stable reflector (and G-->H converter)? I like the novel use of old technology in the new R-->H converters. Since there have been many new stable converters discovered since Calcyman's Life News article, I decided to collect them together.

non-glider output:

Code: Select all

x = 640, y = 74, rule = LifeHistory
367.2A$366.A.A$366.2A39.2A$407.2A2$361.A$360.A.A38.2A$360.A.A38.2A$
361.A43.2A$405.2A15.D$422.D.D$422.3D.2A$424.D.2A$400.2A$400.2A$450.F$
476.2A$476.A.A$379.F46.A50.2A67.2A$546.2A$425.A$423.A59.A$371.D110.A.
A67.2A$352.2A17.D.D48.A20.F38.A.A67.2A$353.A17.3D109.A64.2A$350.3A20.
D158.D15.2A$350.A18.A160.D.D$291.D75.A159.2A.3D$198.2A89.D17.F219.2A.
D87.2A$198.A.A92.D10.D48.2A.A9.A36.2A.A146.2A63.A.A$199.2A67.2A21.D
11.3D47.A.2A7.A6.2A30.A.2A14.2A130.2A64.2A$68.2A17.F180.2A24.A7.D2.2D
64.A.A47.A.A80.F$58.A10.A44.F179.3A76.A49.A$58.3A8.A.A10.2D33.D87.A
91.A75.2A48.2A200.A$61.A8.2A10.D.D31.3D85.A.A67.2A20.2A167.F62.A95.A.
A$60.2A22.D31.D87.A.A67.2A348.A.A$84.D120.A64.2A257.A95.A$254.D15.2A
259.A83.2A$252.D.D97.F49.F70.D141.2A$249.2A.3D41.A58.D23.2A24.D23.2A
40.D.D17.2A18.F20.A$249.2A.D42.A.A56.2D23.A24.2D23.A41.3D17.A$275.2A
19.A56.2D22.A.A23.2D22.A.A41.D20.3A$275.2A77.2D21.2A25.2D21.2A46.A18.
A$124.2A100.F89.2A159.A$9.A114.2A21.2A167.2A$9.3A10.F125.A180.2A58.2A
48.2A37.A102.F$A11.A6.D28.2A98.A.A36.F62.A77.A.A57.A.A47.A.A39.A$3A8.
2A5.3D28.A32.2A65.2A178.A59.A49.A47.2A58.2A$3.A14.D.2D27.A.A30.A168.A
235.A59.A33.3D$2.2A46.2A31.3A167.A231.A.A57.A.A33.D.D$85.A109.D272.2A
15.2A4.A36.2A15.2A4.A29.D.D20.F10.D$193.D.D17.2A18.F20.A50.D59.D49.D
51.A.A19.3A35.A.A19.3A61.D.D22.2A$24.2A167.3D17.A89.D59.D49.D53.A20.A
38.A20.A38.2A24.3D22.2A$24.2A167.D20.3A90.D59.D49.D48.2A21.A36.2A21.A
37.2A24.D$166.2A29.A18.A80.2A6.D51.2A6.D41.2A6.D48.D25.A33.D25.A$165.
A2.A30.A96.A.A10.D46.A.A10.D36.A.A10.D69.2A58.2A39.2A$.E48.E49.E49.E
15.2A128.A10.D9.2A37.A10.D9.2A27.A10.D9.2A33.D2.D3.A52.D2.D3.A60.A.A$
.E.E20.2A.A22.E.E20.2A25.E.E20.2A25.E.E49.E7.A.2A48.E7.A.2A21.2A14.D
5.2A3.E32.2A14.D5.2A3.E22.2A14.D5.2A3.E35.A.A10.E46.A.A10.E40.E9.A29.
E$.3E20.2A.3A20.3E20.A26.3E20.A26.3E41.2A5.3E6.2A.A40.2A5.3E6.2A.A35.
D11.3E45.D11.3E35.D11.3E29.D4.2A10.3E40.D4.2A10.3E38.3E8.2A27.3E$3.E
11.2A13.A21.E10.2A3.2A4.3A25.E10.2A3.2A4.3A25.E40.A.A4.2E2.E48.A.A4.
2E2.E48.D6.2E2.E48.D6.2E2.E38.D6.2E2.E45.E59.E39.2E2.E3.2A30.2E2.E$
15.A8.2A.3A31.A2.A4.A6.A34.A2.A4.A6.A44.2A20.A59.A57.D59.D49.D166.A.A
42.2A$16.3A4.A2.2A33.3A4.A42.3A4.A52.A.A18.2A58.2A61.D59.D49.D164.A
42.A.A$18.A4.2A43.2A48.2A52.2A139.D59.D49.D166.2A43.A$61.2A.A46.2A.A
185.2A15.D42.2A15.D32.2A15.D207.2A$61.A.2A46.A.2A186.A6.2A5.D45.A6.2A
5.D35.A6.2A5.D$149.3D146.3A7.2A9.D38.3A7.2A9.D28.3A7.2A9.D$149.D148.A
18.D40.A18.D30.A18.D$148.3D6$155.F!

Note that the last converter (B-->H) ends up deleting the first natural block of the output Herschel, so it can be followed by F117-type conduits with the first eater removed. Also, the signal splitters can be easily modified to suppress either output.

glider output:

Code: Select all

x = 242, y = 106, rule = LifeHistory
F6.F4$11.2D$11.D.D$11.D6$12.3D$12.D8.2A$13.D7.2A2$2A$.A$.A.A$2.2A5$
21.2A$21.2A$2.E$2.E.E$2.3E$4.E3$20.2A$20.A.A$9.A.2A9.A$7.3A.2A9.2A$6.
A$7.3A.2A$9.2A2.A$12.2A6$99.F2$101.3D9.2A34.2A11.A$101.D11.2A34.A.A8.
3A$102.D47.2A7.A$159.2A2$164.F2$161.2D$102.2A38.2A16.D.D$102.A.A37.A.
A17.D$103.A39.A2$186.F2$40.F147.3D9.2A24.2A11.A$2.F185.D11.2A24.A.A8.
3A$42.3D5.A11.A126.D37.2A7.A$4.3D13.A21.D7.3A7.3A173.2A$4.D13.3A22.D
9.A5.A$5.D11.A34.2A5.2A180.F$17.2A$238.2D$102.2A38.2A14.2A29.2A28.2A
16.D.D$102.2A38.2A14.A.A28.A.A27.A.A17.D$65.2A93.A29.A29.A$64.A.A93.
2A$21.2A42.A$21.2A2$2A38.2A$.A39.A67.A39.A$.A.A37.A.A64.A.A37.A.A$2.
2A38.2A50.2A13.2A23.2A13.2A$95.A39.A$95.A.A37.A.A$96.2A38.2A$189.2A
28.2A14.2A$21.2A166.2A28.2A14.A.A$21.2A214.A$2.E39.E35.2A22.E39.E94.
2A$2.E.E37.E.E33.2A22.E.E37.E.E49.E29.E$2.3E37.3E57.3E37.3E48.3E27.3E
$4.E39.E59.E39.E47.2E2.E25.2E2.E$201.2A28.2A$201.2A28.2A$20.2A37.2A$
20.A.A36.2A$9.A.2A9.A$7.3A.2A9.2A81.2A38.2A$6.A98.A39.A$7.3A.2A87.2A
4.3A31.2A4.3A$9.2A2.A86.2A6.A31.2A6.A$12.2A3$54.2A$54.A$55.3A$57.A!

The Pi-->H converter in Calcyman's collection should probably be split into these two converters:

Code: Select all

x = 60, y = 35, rule = LifeHistory
55.F6$48.3D$49.D$49.3D9$30.F$48.2A$27.2D19.2A$2A25.D.D$2A27.D2.F$29.D
27.2A$49.2E6.2A$19.3E27.E.E$19.E.E29.E$19.E.E8.2A19.E$30.A.A$32.A23.
2A$32.2A22.A$57.3A$5.2A52.A$6.A$3.3A$3.A!

I have no idea how many new Herschel conduits there are.