Oscillator Discussion Thread

[Entity Valkyrie 2]

p64 HF shuttle

Code: Select all

x = 37, y = 79, rule = B3/S23
14bo10bo$13bobo8bobo$13bobo8bobo$12b2ob2o6b2ob2o$11bo4bo6bo4bo$12bob3o
6b3obo$11b2obo10bob2o$14bo10bo$11b2obo2bob2obo2bob2o$12bobobob4obobob
o$12bobob8obobo$11b2obo10bob2o$14bo10bo$14b2o8b2o$12b2o12b2o$11bo2bob
2o4b2obo2bo$10bobobo10bobobo$10bobobo3bo2bo3bobobo$11b2obo2b2o2b2o2bo
b2o$14bob2o4b2obo$11b2obobob4obobob2o$11bobob4o2b4obobo$13bobo2bo2bo2b
obo$13b2o10b2o$19b2o$18b4o$6b2o9bo4bo$17b6o$4bo3bo9b4o$4bo4bo$6bobobo
6b6o$7bobobo5b6o$8bo4bo4b4o$9bo3bo2$10b2o2$35bo$17b3o16bo$2o14bo3bo14b
2o$2o13bo5bo$16bo3bo$17b3o$25b2o2$23bo3bo$15b4o4bo4bo$14b6o5bobobo$14b
6o6bobobo$27bo4bo$15b4o9bo3bo$14b6o$14bo4bo9b2o$15b4o$16b2o$10b2o10b2o
$10bobo2bo2bo2bobo$8bobob4o2b4obobo$8b2obobob4obobob2o$11bob2o4b2obo$
8b2obo2b2o2b2o2bob2o$7bobobo3bo2bo3bobobo$7bobobo10bobobo$8bo2bob2o4b
2obo2bo$9b2o12b2o$11b2o8b2o$11bo10bo$8b2obo10bob2o$9bobob8obobo$9bobo
bob4obobobo$8b2obo2bob2obo2bob2o$11bo10bo$8b2obo10bob2o$9bob3o6b3obo$
8bo4bo6bo4bo$9b2ob2o6b2ob2o$10bobo8bobo$10bobo8bobo$11bo10bo!

It's worth noting that this p64 shuttle is related to the p4 syringe:

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x = 84, y = 79, rule = B3/S23
14bo10bo$13bobo8bobo$13bobo8bobo$12b2ob2o6b2ob2o$11bo5bo4bo5bo$12bobob
o6bobobo$11b2obo10bob2o$14b2o8b2o$11b2obo2bo4bo2bob2o$12bobobo6bobobo$
12bobobo6bobobo$11b2obo2b6o2bob2o$14bo10bo$14b2o8b2o$12b2o2bo6bo2b2o$
11bo2b2o8b2o2bo$10bobobo2bo4bo2bobobo$10bobob2ob2o2b2ob2obobo$11b2obob
obo2bobobob2o$14bobo6bobo$11b2obo4b2o4bob2o$11bobo12bobo$13bobo2bo2bo
2bobo$13b2o4b2o4b2o$18bo2bo$18bo2bo$17bo4bo$7bo9bo4bo$17bo4bo50b2o$5bo
b3o7bo4bo50b2o$7b2obo6bo4bo$7bob2o60b4o$8b3obo4bo4bo48bo2bo$19b2o$10bo
$79b2o$79bo$18bo58bobo$17b3o16bo18bo21b2o$2o14b5o14b2o18bo$2o13b2o3b2o
31b3o9b2o$16b5o32bo11b2o$17b3o$18bo$26bo$16b2o49b2o$14bo4bo4bob3o33b2o
bo4bo$26b2obo32bo$14bo4bo6bob2o33b2o$14bo4bo7b3obo28b3o2b8o$14bo4bo40b
o2bo7b2o$14bo4bo9bo31b2o9b2o$14bo4bo53bo8b2o$15bo2bo62b2o$15bo2bo54b3o
7bo$10b2o4b2o4b2o45bo2b4o$10bobo2bo2bo2bobo43b3o6bo$8bobo12bobo40bo4b
6o$8b2obo4b2o4bob2o41b5o5bo$11bobo6bobo46bo2b5o$8b2obobobo2bobobob2o
46bo$7bobob2ob2o2b2ob2obobo47bo$7bobobo2bo4bo2bobobo46b2o$8bo2b2o8b2o
2bo$9b2o2bo6bo2b2o$11b2o8b2o$11bo10bo$8b2obo2b6o2bob2o$9bobobo6bobobo$
9bobobo6bobobo$8b2obo2bo4bo2bob2o$11b2o8b2o$8b2obo10bob2o$9bobobo6bobo
bo$8bo5bo4bo5bo$9b2ob2o6b2ob2o$10bobo8bobo$10bobo8bobo$11bo10bo!
#C [[ STOP 64 ]]

p8, same search

Code: Select all

x = 15, y = 15, rule = B3/S23
8b2o$7bo2bo2$5bo$2o2bo4bo3bo$o4bo2bobo3bo$b4o4bo4bo$6bo6bo$3b3obo$3bo
2bo2bobo$4bobobobo$5b2obo$8bo$8bobo$9b2o!

I'm sorry...

Code: Select all

x = 15, y = 15, rule = B3/S23
8b2o$8b2o3$2o3bo3bo$o5b3obo2b2o$b4obo2bo3b2o$9bo$3b3o2b2o$3bo2bo3bo$6b
obo$5b2obo$8bo$8bobo$9b2o!

one cell reduction to the p8

Some variations:

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x = 46, y = 19, rule = B3/S23
14bo$5b2o5b3o$6bo4bo23b2o$6bobo3bo22bobo$7bobo3bo15b2o6bo$8bo3b2o15b2o
5b2ob2o$36bo2bo$7b2o19b2o5bobobo2bo$2o3b2o2bo11b2o3b2o2bo4bob2ob3o$o2b
2o5bo2b2o6bo2b2o5bo2bo4bo$b3ob2o4bob2o7b3ob2o4bobo4b2ob3o$6bo4bo15bo4b
o2bo5b2o2bo$3b3ob2obo13b3ob2obo4bo2b2o3b2o$3bo2bobobo13bo2bobobo5b2o$
6bo2bo17bo2bo$5b2ob2o16b2ob2o5b2o$8bo20bo6b2o$8bobo18bobo$9b2o19b2o!

[LWSSONHWSSONLWSS]

Can you turn this StateInvestigator pattern into regular Life by making a p8 catalyst instead of using state 5 cells?

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 x = 25, y = 25, rule = B3/S23Investigator
14.2A$14.A.A$8.2A6.A$8.2A5.2A.2A$15.A2.A$7.2A5.A.A.A2.A$2A3.2A2.A4.A.
2A.3A$A2.2A5.A2.A4.A$.3A.2A4.A.A4.2A.3A$6.A4.A2.A5.2A2.A$3.3A.2A.A4.A
2.2A3.2A$3.A2.A.A.A5.2A$6.A2.A$5.2A.2A5.2A$8.AE3.2A2.A$8.A.E2A5.A2.2A
$9.3A.2A4.A.2A$14.A4.A$11.3A.2A.A$11.A2.A.A.A$14.A2.A$13.2A.2A$16.A$16.
A.A$17.2A!

[Sokwe]

I have confirmed with LLS that mazing and mold are the only p4 oscillators up to 17 bits. The way I did it was less efficient than it should have been, so I will first describe what I did and then describe how it could be done (probably just slightly) better.

For this search I used the filters branch of my LLS fork. For the purpose of this search I added the following options to the filters branch:

• --cell_history X,Y HISTORY GENS: this sets the ON/OFF pattern of a particular cell. The pattern is determined by writing the number given for HISTORY in binary, associating the bits to the cells generation. For example, 3 in binary is 0011, which has least significant bit equal to 1, meaning generation 0 of the given cell is ON, and the overall pattern is ON, ON, OFF, OFF. The GENS variable simply tells LLS how many bits to read from HISTORY. For this p4 search, we want to read 4 bits, one for each generation. This just makes it easier to split up the search so that it can be run across multiple computers and CPUs.
• --filter_small_objects: this filters out blinkers, tubs, and boats that do not interact with any other part of a solution. This only works at p4, and it turns out to not really be necessary, as there is a better way to solve this problem in this case by changing the filter files and running a few quick extra searches. This is where the inefficiency mentioned above comes from.

Here are the setup and output files:

p4_pop17.zip

(69.68 KiB) Downloaded 30 times

All searches were run from p4_pop17_base.jdf, with the --cell_history option used to split up the search. The green cells of p4_pop17_base.jdf are p2, and the center cell (at position (27,27)) represents the first p4 cell in the sense that it maximizes x - y among all p4 cells that maximize x + y (similar to the p5 setup described here). I split the search primarily based on the cell history of this center cell. Notice that history values of 00 and 15 correspond to stator cells, while 05 and 10 correspond to p2 cells, so these are skipped. For history values 02, 03, 06, 07, 09, 11, 12, 13, and 14, I used the following command:

Code: Select all

./lls p4_pop17_base.jdf --cell_history 27,27 NN 4 --filter_small_objects --filters p4_filters.txt --force_determined --solver cadical -n -p '<=17' -j p4_pop17_solutions > out_p4_pop17_NN.txt

where "NN" is replaced by the history value. Prior to running the pop-17 search, I had run the pop-15 search as a test, and history values 01, 04, and 08 took the longest, so I split each of these up based on For history values 01, 04, and 08, I further split up the search based on the history of the cell at coordinates (27,28). The commands in these cases looked like the following:

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./lls p4_pop18_base.jdf --cell_history 27,27 NN 4 --cell_history 28,27 MM 4 --filter_small_objects --filters p4_filters.txt --force_determined --solver cadical -n -p '<=17' -j p4_pop17_solutions > out_p4_pop17_NN_MM.txt

Where "NN" was either 01, 04, or 08, and MM ranged from 00 to 15.

Notice that the above searches use the filter files listed in filters.txt. These are just .jdf files containing all orientations and starting phases of mazing and mold with just enough cells to guarantee that they can't interact with anything (I don't want to filter mazing or mold when the do interact with something, as that would give a different oscillator). Unfortunately, in order to guarantee that they can't interact with anything, I had to set some cells OFF in the filter, but one could place a blinker, tub or boat close to the mold or mazing such that they overlap these OFF cells but still don't interact. That's why I thought I needed the --filter_small_objects option, but it was ultimately unnecessary.

What I should have done was to enumerate the cases where a pattern could interact with mold or mazing at the location of these problem OFF cells in the filter files. There are only 3 types of interaction to check, each with 4 different starting phases (so 12 searches in total). It turns out none of these searches takes more than 5 minutes to return unsat even up to population 20. With those searches completed, the problem OFF cells can be removed from the filter files. This allows LLS to detect when it has found a noninteracting mold or mazing earlier than it would have with --filter_small_objects, which forces it to wait until it detects the blinker, tub, or boat next to the mold or mazing. Below I have attached a zip archive containing the .jdf inputs for the 12 searches that need to be run, as well as example corrected filter files for mazing and mold (one example file each; the rest can be reconstructed by proper use of JLS keyboard shortcuts):

p4_minpop_fixed_filters.zip

(26.25 KiB) Downloaded 30 times

I do not intend to run the pop-18 p4 search. If anyone wants to do so, they would need to reconstruct the filter files for mazing and mold as described in the previous paragraph, as well as construct filter files for all orientations of monogram and both variants of mold on table. Since the longest part of the pop-17 search took over 7 days (and several others were not much less), it would probably make sense to split the search even more and use more computing resources than I currently have available.

Edit: here is the naive pseudo-oscillator connectability analysis for mold and mazing:

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x = 70, y = 29, rule = LifeHistory
2.2DB3D15.5D14.6D14.2D2B2D$.2DADA2D14.6D13.4DA2D13.3D2A2D$6DAD12.4D3A
B12.3D2ADAD12.3D3A2D$2DA2DA2D12.2DAD3AB12.2DA4DB12.2DAD2A2D$BADADA2D
12.BADADA2D12.BADA2DAD12.BADA4D$BA2DA3D12.BA2DA3D12.BA2DA3D12.BA2DA2D
$2D2A3D13.2D2A3D13.2D2A3D13.2D2A2D$2D2B2D14.2D2B2D14.2D2B2D14.2D2B2D
10$3.3D$2.5D16.4D35.5D$2.2DA2D15.2DA2D15.2D3B15.5D$.2DADA2D12.4DA2D
13.4D2A2D13.2D3A2D$.9D10.2D3A5D9.3DADA3DB11.3D3A4D$.B2A3DA3D9.2D2A6D
9.2DA5DAB11.D3A2D2A2D$.BA5DA2D9.2D2A2D3AD9.3DA3D2AB11.6D2A2D$.B3DADA
3D9.4D3A3D10.9D11.5D3A2D$2.2D2A4D12.2D3A2D13.2DADA2D14.2DA4D$3.3B2D
15.5D15.2DA2D15.2DA2D$23.5D15.5D15.4D$44.3D!

It should be fairly clear that mazing could only possibly form pseudo-oscillators with other p4 oscillators (it actually can't form any), while the rotor cells of mold can likewise only form a pseudo-interaction with another p4. Thus, all p4 pseudo-objects up to 21 cells must involve still lifes or p2 oscillators adjacent to the loaf in mold. Mark Niemiec lists such pseudo-oscillators here. I found it easy enough to check that these lists are complete up to 19 cells simply by visual inspection while knowing the list of still lifes and p2 oscillators up to 7 cells. I wouldn't be surprised if they are complete up to higher cell counts, but I didn't bother checking.

[hotdogPi]

This appeared in another symmetric soup:

Code: Select all

x = 23, y = 23, rule = B3/S23
10b2o$10b2o3bo$14bobo$8b4o2bo2bo$7bo4bobob2o$7b2o3bobo3b2o$13b2o3bobo$4b2o15b
o$3bobo4b2o4b5o$3bo7bo4bo$2obo4bo8b2o$2obo4b2o3b2o4bob2o$4b2o8bo4bob2o$6bo4bo
7bo$2b5o4b2o4bobo$bo15b2o$2bobo3b2o$3b2o3bobo3b2o$5b2obobo4bo$5bo2bo2b4o$6bob
o$7bo3b2o$11b2o!

It provides an alternative completion to this p7: new on the left, old on the right:

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x = 32, y = 28, rule = B3/S23
3b2o$4bo$2bo$2b5o$6bo14b2o$4bo4bobo9bobo$2obobo3bobo$2obo5b3o3b3o$3bo
11bobo$3bobo9bobo6bo$4b2o14b4o$20b3o$24bo2bo$28bo$23bo5bo$23b2o4bo$28b
o$27bo$26b4obo$26bo3bo$24bo3bo$23bob4o$27bo$26bo$25bo4b2o$25bo5bo$26bo
$27bo2bo!

[LWSSONHWSSONLWSS]

That mechanism is kinda related to the p7 thumb:

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x = 32, y = 11, rule = B3/S23
26b2o$26bobo$5b3o4b3o13bo$4bob8obo6b2o4bob2o$bo2bobo6bobo6b5obob2o$ob
obobo6bobob2o5b2obo$bo2bob2o4b2ob2obo5bo$4bo4b2o14b5o$5b3obo19bo$7bob
o17bo$8bo18b2o!
[[ GPS 1 LOOP 2 ]]

[Period1GliderGun]

p9 TL hassler monomer; original found by HDP in 2021

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x = 43, y = 37, rule = B3/S23
10bob2o4b2obo$10b2o2bo2bo2b2o$8b2o3bo4bo3b2o$7bo3b2ob4ob2o3bo$8b3obob
o2bobob3o$10bobobo2bobobo$13b2o2b2o$13b2o2b2o3$11b2o6b2o$11bobo4bobo$
12b2o4b2o2$10b12o$9bo5b2o5bo$10b3o6b4o$13bo4bo$10b3o6b2o$9bo2bob4obob
o17bo$9b2o2b6o2bo16bobo$14b4o3bobo3bo10bobo$22bobobobo8b2o2b2o$24bobo
bo2b2o6bobo$15bo7b2obobobobo4b3o2bo$14bobo6bo2bobobo5bo3bobo$6bo2bo3b
o3bo5b2ob2o2bo4bob3obo$3bo2bo2bo4bobo6b2ob2o6b2o3bo$2bob3o2b4o2bo7b2o
b2o6b2o3bo$2bo4b2o14b2ob2o2bo4bob3obo$3bo2bo2bo3bo9bo2bobobo5bo3bobo$
3o4bobo3bo9b2obobobobo4b3o2bo$o5b2obo3bo10bobobo2b2o6bobo$9bobo10bobo
bobo8b2o2b2o$9b2o11b2o3bo10bobo$38bobo$39bo!

[Entity Valkyrie 2]

That mechanism is kinda related to the p7 thumb:

Code: Select all

x = 32, y = 11, rule = B3/S23
26b2o$26bobo$5b3o4b3o13bo$4bob8obo6b2o4bob2o$bo2bobo6bobo6b5obob2o$ob
obobo6bobob2o5b2obo$bo2bob2o4b2ob2obo5bo$4bo4b2o14b5o$5b3obo19bo$7bob
o17bo$8bo18b2o!
[[ GPS 1 LOOP 2 ]]

I would say that the mechanism more resembles the typical termination to a signal wire or drifter, like the 2c/3 signal (StateInvestigator used here for demonstrative purposes):

Code: Select all

x = 93, y = 39, rule = StateInvestigator
62.A$60.3A$59.A5.A$59.7A$56.2A.A.A$56.2A.A.A2.4A$59.A.A.A4.A$59.A.A.A
2.3A$60.2A.A.A5.A$63.A.A2.4A$63.A.A.A$31.A30.2A.A.A2.4A$31.3A31.A.A.A
4.A$34.A30.A.A.A2.3A$33.2A31.2A.A.A5.A$69.A.A2.4A$69.A.A.A$68.2A.A.A
2.4A$35.A.A6.2A25.A.A.A4.A$35.2A7.2A25.A.A.A2.3A$36.A35.2A.A.A5.A$75.
A.A2.4A$36.2A37.A.A.A$36.2A7.2A.A2.A22.2A.A.A2.4A$45.2A.4A25.A.A.A4.A
$77.A.A.A2.3A$32.A12.5A28.2A.A.A5.A$31.A.A.2A7.A5.A.2A27.A.A2.4A$31.A
.A.A.A7.2A2.2A.A28.A.A.A$6.2A22.2A.A.A.A2.A2.A.A.A6.A25.2A.A.A2.4A$6.
2A23.A2.2A.7A.A.A.6A28.A.A.A4.A$2.2A27.A4.A7.A.A2.A33.A.A.A2.A.A$A2.A
2.4A22.3A.A2.2A.A.A2.2A3.A31.2A.A.A.A$2A.A.A4.A23.2A3.2A.2A.A.A3.A.A
33.A.A$3.A2.A2.2A34.A.A4.2A30.2A.A.A$3.A3.A37.2A37.2A.2A$4.A$7.D40.AD
40.AD$6.2D40.2D40.2D!
#C [[ STOP 47 ]]

This also implies a p8:

Code: Select all

x = 11, y = 12, rule = B3/S23
6b2o$6b2o$2b2o$o2bo2b4o$2obobo4bo$3bo2bo2b2o$3b2o2$7b2o$6bo$9bo$7b2o!

[hotdogPi]

p38, mine

Code: Select all

x = 86, y = 65, rule = B3/S23
39b2o$39bo$36b2obo$33b2o3bo$33bo$33bo2bo$31b2o$26bo4b2o$26bo3bo2bo$26b
o4b2o2$25bo$24b2o20bo$24b2o19b2o$24bo20b2o$45bo2$38b2o4bo$37bo2bo3bo$
38b2o4bo$38b2o$34bo2bo$37bo$32bo3b2o17b2o16b2o$31bob2o14bob2obobo16bob
ob2obo$31bo17b2obobo4bobo6bobo4bobob2o$30b2o10bo10b2o6bo6bo6b2o$16b2o
6b2o14b2ob2o12bo14bo$16b2o6b2o14bo2bo12bo2b2o8b2o2bo$3o38b2o12b6o8b6o
8b3o$b3o52bo2b2o8b2o2bo8b3o$10bo4bobo6bobo4bo22b4o14b4o$10bo6bo6bo6bo
22bo6bo6bo6bo$10b4o14b4o22bo4bobo6bobo4bo$b3o8bo2b2o8b2o2bo52b3o$3o8b
6o8b6o12b2o38b3o$12bo2b2o8b2o2bo12bo2bo14b2o6b2o$13bo14bo12b2ob2o14b2o
6b2o$9b2o6bo6bo6b2o10bo10b2o$5b2obobo4bobo6bobo4bobob2o17bo$5bob2obobo
16bobob2obo14b2obo$11b2o16b2o17b2o3bo$48bo$48bo2bo$46b2o$41bo4b2o$41bo
3bo2bo$41bo4b2o2$40bo$39b2o20bo$39b2o19b2o$39bo20b2o$60bo2$53b2o4bo$
52bo2bo3bo$53b2o4bo$53b2o$49bo2bo$52bo$47bo3b2o$46bob2o$46bo$45b2o!

20 minutes after initial post: p73 with the same mechanism as the p75 below

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x = 74, y = 52, rule = B3/S23
59b2o$41b2o16bo$42bo17bo$42bobo12b4o$43b2o2b2o8bo$46bo2bo10b3o$32bo13b
o2bo10bo2bo$32b3o11b2ob2o11b2o$35bo11bobo$34b2o12bo$54b2o$53bo2bo6bo$
54bobo5bobo$39b2o7b2o7bo5bo$31bo7b2o7bo5bo2bo$31b2o16b2o3b3o2$18b2o$2o
16bo$bo17bo18bo5b2o12b3o3b2o$bobo12b4o17bob2o3b2o11bo2bo5bo$2b2o2b2o8b
o20bo2bo10bo5bo7b2o$5bo2bo10b3o16b3o9bobo5bobo$5bo2bo10bo2bo28bo6bo2bo
$5b2ob2o11b2o36b2o$6bobo57bo$7bo57bobo$13b2o36b2o11b2ob2o$12bo2bo6bo
28bo2bo10bo2bo$13bobo5bobo9b3o16b3o10bo2bo$7b2o7bo5bo10bo2bo20bo8b2o2b
2o$7bo5bo2bo11b2o3b2obo17b4o12bobo$8b2o3b3o12b2o5bo18bo17bo$55bo16b2o$
54b2o2$17b3o3b2o16b2o$16bo2bo5bo7b2o7bo$10bo5bo7b2o7b2o$9bobo5bobo$10b
o6bo2bo$18b2o$25bo12b2o$24bobo11bo$10b2o11b2ob2o11b3o$10bo2bo10bo2bo
13bo$11b3o10bo2bo$16bo8b2o2b2o$13b4o12bobo$13bo17bo$14bo16b2o$13b2o!

p75, mine (edited 13 minutes later for reduction)

Code: Select all

x = 81, y = 56, rule = B3/S23
18bo6bo$17b2o6b2o$16b3o6b3o$17b2o6b2o$18bo6bo5$6b2o17bo$5bo2bo10b2o3bo
bo$o2bo2bobo10b2o2b2o$5obob2o7bo2bo7bo$6bo3bo4bo3bo5b2obo$2b2obo4bo4bo
4bo6bo$bo3b2o3bo4bo3bo$bobobo4bo$2bo3bo3bo12b3o$3b2obob2o24b2o$4bobobo
25b2o$3bo2bobo$3b2o2bo2$29bo4bobo13b2o$28bobo2bo2bo13b2o6b2o$27bo4bo3b
o21bo$27bo3b5o15bo4bobo$27bo4b2o16bobo3b2o$23b2o3bobo16b2o4bo$22bobo4b
o15b5o3bo$22bo21bo3bo4bo$21b2o6b2o13bo2bo2bobo$29b2o13bobo4bo2$73bo2b
2o$72bobo2bo$45b2o25bobobo$45b2o24b2obob2o$55b3o12bo3bo3bo$70bo4bobobo
$61bo3bo4bo3b2o3bo$53bo6bo4bo4bo4bob2o$52bob2o5bo3bo4bo3bo$52bo7bo2bo
7b2obob5o$56b2o2b2o10bobo2bo2bo$54bobo3b2o10bo2bo$55bo17b2o5$55bo6bo$
54b2o6b2o$53b3o6b3o$54b2o6b2o$55bo6bo!

p92, siffrin normal via apgsearch

Code: Select all

x = 61, y = 61, rule = B3/S23
26b2o$26b2o9$27bo5bo$26b3o3b3o$26bob2ob2obo$28b2ob2o$28b2ob2o$28b2ob2o11$2o9b
2o15b3o17b2o$2o8b2o16b3o18b2o$11b5o10b2o17b5o$12b4o10b2o17b4o$26b2o5b2o$12b4o
17b2o10b4o$11b5o17b2o10b5o$10b2o18b3o16b2o8b2o$11b2o17b3o15b2o9b2o11$28b2ob2o
$28b2ob2o$28b2ob2o$26bob2ob2obo$26b3o3b3o$27bo5bo9$33b2o$33b2o!

[C_R_116]

p105 dependent reflector loop:

Code: Select all

x = 102, y = 123, rule = B3/S23
19bo$19bo2$19bo$18bobo2$18b3o3$18b3o2$18bobo$19bo$29b2o6b2o$19bo8bo2bo
4bo2bo$19bo8bo2bo4bo2bo$28bo2bo4bo2bo$4bobo2bobo17b2o6b2o$2obo2bo2bo2b
ob2o$4bobo2bobo2$19b3o3bobo$19b7o2bo8b2o$20bo7bo8b2o2$26bo$23bo2bo$20b
2o3bo$21b2ob2o$3bo4bo$b2ob4ob2o$3bo4bo3$21b2o$12b2o7b2o$12b2o$6b2o18b
2o$6bobo17bo$7bo19b3o$29bo$12b3o$12b3o$10bo2bo4b2o$11b2o5bobo$20bo23bo
$20b2o20bobo$7b2o34b2o$8bo$8bobo5b2o13b2o$9b2o4bo2bo11b2o$14b3o15bo$
14b3o2$21bo$20bobo$21b2o$14b2o$14b2o6$86b2o$86b2o$79b2o$79bobo$80bo2$
85b3o$69bo15b3o$70b2o11bo2bo4b2o$69b2o13b2o5bobo$93bo$57b2o34b2o$57bob
o20b2o$57bo23bo$81bobo5b2o$82b2o4bo2bo$87b3o$87b3o$72bo$72b3o19bo$75bo
17bobo$74b2o18b2o$88b2o$79b2o7b2o$79b2o3$93bo4bo$91b2ob4ob2o$93bo4bo$
76b2ob2o$76bo3b2o$75bo2bo$75bo2$63b2o8bo7bo$63b2o8bo2b7o$74bobo3b3o2$
90bobo2bobo$86b2obo2bo2bo2bob2o$63b2o6b2o17bobo2bobo$62bo2bo4bo2bo$62b
o2bo4bo2bo8bo$62bo2bo4bo2bo8bo$63b2o6b2o$82bo$81bobo2$81b3o3$81b3o2$
81bobo$82bo2$82bo$82bo!

[WhiteHawk]

From the Execution of Old Guns thread, here is a p44 dependent loop I constructed. I don't know if it has actually been discovered before (I would presume it has, but it's not on the dependent reflectors page on the wiki in any case)

Code: Select all

x = 62, y = 47, rule = B3/S23
42bo3b2o3b2o$40b3o4bo4bo$39bo6bo3bo$39b2o5b2o2b2o$26bob2o18bobo2bo$26b
2obo18bo3b2o$24b2o23bo$23bo3b2o19b2o$24b3obo25bo$53bobo$26b2o26b2o4b2o
$26b2o29b2o2bo$37b3o2b3o12bob2o$36bo8bo13bo$37b3o2b3o12bobo$57b2o$32b
2o20b2o$32b2o19bobo$20bo8bo24bo$19bobo7b2o17b2o$9b2o3b2o4bo7bobo18bo$
9bo4bo33bo3b2o$11bo3bo32bobo2bo$10b2o2b2o30b2o2b2o$8bo2bobo32bo3bo$8b
2o3bo33bo4bo$12bo18bobo7bo4b2o3b2o$12b2o17b2o7bobo$7bo24bo8bo$6bobo19b
2o$6b2o20b2o$3b2o$2bobo12b3o2b3o$2bo13bo8bo$b2obo12b3o2b3o$o2b2o29b2o
$2o4b2o26b2o$6bobo$7bo25bob3o$12b2o19b2o3bo$12bo23b2o$8b2o3bo18bob2o$
8bo2bobo18b2obo$10b2o2b2o5b2o$11bo3bo6bo$9bo4bo4b3o$9b2o3b2o3bo!

EDIT: Slight variation

Code: Select all

x = 63, y = 48, rule = B3/S23
43bo3b2o3b2o$41b3o4bo4bo$40bo6bo3bo$40b2o5b2o2b2o$27bob2o18bobo2bo$27b
2obo18bo3b2o$25b2o23bo$24bo3b2o19b2o$25b3obo25bo$54bobo$27b2o26b2o4b2o
$27b2o29b2o2bo$38b3o2b3o12bob2o$37bo8bo13bo$38b3o2b3o12bobo$58b2o$33b
2o20b2o$33b2o19bobo$55bo$20bo8bo19b2o$19bobo7b2o19bo$9b2o3b2o4bo7bobo
18bo3b2o$9bo4bo34bobo2bo$11bo3bo31b2o2b2o$10b2o2b2o31bo3bo$8bo2bobo34b
o4bo$8b2o3bo18bobo7bo4b2o3b2o$12bo19b2o7bobo$12b2o19bo8bo$7bo$6bobo19b
2o$6b2o20b2o$3b2o$2bobo12b3o2b3o$2bo13bo8bo$b2obo12b3o2b3o$o2b2o29b2o
$2o4b2o26b2o$6bobo$7bo25bob3o$12b2o19b2o3bo$12bo23b2o$8b2o3bo18bob2o$
8bo2bobo18b2obo$10b2o2b2o5b2o$11bo3bo6bo$9bo4bo4b3o$9b2o3b2o3bo!

EDIT 2: This is actually the first p73 r-pentomino hassler

20 minutes after initial post: p73 with the same mechanism as the p75 below

Code: Select all

[C_R_116]

p96 dependent reflector loop:

Code: Select all

x = 104, y = 104, rule = B3/S23
63b3o$62b2obo$61bo2b2o$60b6o3bo$61bo2b2o2bobo$62b3o3b2o2$62b3o3b2o$61b
o2b2o2bobo$38b2o20b6o3bo$38b2o21bo2b2o$62b2obo$63b3o2$31bo$30b2o$29bob
2o$28b3o2bo$30bobobo$31bobobo17b3o$32bo2b3o14bo3bo$33b2obo14bo5bo$34b
2o6b3o6bo5bo$34bo9bo6bo5bo$43bo8bo3bo$53b3o2$56b2o$56bo29bo$57b3o26b2o
$59bo25b2obo$84bo2b3o$83bobobo$4bo3bo73bobobo$3bobobobo70b3o2bo$4b2ob
2o72bob2o$82b2o$83bo$5o3b5o80b2o$ob4ob4obo80b2o$2obobobobob2o$bobobobo
bobo$2b3o3b3o70bo$3bo5bo69bobo$29b2o49b2o$29bo$21b3o3bobo$20bo3bo2b2o$
19bo5bo$19bo5bo$19bo5bo$20bo3bo55b3o$21b3o55bo3bo$78bo5bo$78bo5bo$78bo
5bo$75b2o2bo3bo$74bobo3b3o$74bo$22b2o49b2o$22bobo69bo5bo$22bo70b3o3b3o
$92bobobobobobo$91b2obobobobob2o$9b2o80bob4ob4obo$9b2o80b5o3b5o$20bo$
20b2o$19b2obo72b2ob2o$18bo2b3o70bobobobo$17bobobo73bo3bo$16bobobo$14b
3o2bo$15bob2o25bo$16b2o26b3o$17bo29bo$46b2o2$48b3o$47bo3bo8bo$46bo5bo
6bo9bo$46bo5bo6b3o6b2o$46bo5bo14bob2o$47bo3bo14b3o2bo$48b3o17bobobo$
69bobobo$70bo2b3o$71b2obo$72b2o$72bo2$38b3o$38bob2o$38b2o2bo21b2o$34bo
3b6o20b2o$33bobo2b2o2bo$34b2o3b3o2$34b2o3b3o$33bobo2b2o2bo$34bo3b6o$
38b2o2bo$38bob2o$38b3o!

[hotdogPi]

Here is a p76 R-pentomino hassler. I found everything except the way to remove the blinkers, which was iNoMed. Because the blinkers are removed by figure eights, it's p152 overall, although there is most likely a way to weld the existing p4 corner dot sparker to a blinker deleter to make it actually p76.

Code: Select all

x = 75, y = 50, rule = B3/S23
48b2o10b2o$47bo2bo2b4o2bo2bo$47b3o2b6o2b3o$50b10o$32b2o7b3o5bo10bo$31b
o2bo6b3o5b2o8b2o$31bo2bo6b3o$25b2ob2ob4ob2o6b3o$24bobobobo4bobo6b3o$
24bobo4bobobo8b3o$22b2ob2o6b3o$23bo3b2o2b3o3bo21b2o7b3o$23bobo3b3o4b3o
20bo$24bob2o3bob2o20b2o9bo5bo$22bobo2bob2o2b2o19bob2o8bo5bo$22b2obo2bo
4b2o2bo15b3ob2o7bo5bo$25b2obob3o$25bo2bobo2bo11bo$26b2o3b2o10b2ob2o8b
2o$43bo2bo9b2o13b2o$44b2o15bo9bo$62b2o8b3o$60b3o11bo$21bo37bobo$21bo
30bo6b2o$14b2o6bo30bo$13bobo37bo$o11b3o$3o8b2o$3bo9bo15b2o$2b2o13b2o9b
o2bo$17b2o8b2ob2o10b2o3b2o$29bo11bo2bobo2bo$42b3obob2o$2bo5bo7b2ob3o
15bo2b2o4bo2bob2o$2bo5bo8b2obo19b2o2b2obo2bobo$2bo5bo9b2o20b2obo3b2obo
$15bo20b3o4b3o3bobo$4b3o7b2o21bo3b3o2b2o3bo$39b3o6b2ob2o$28b3o8bobobo
4bobo$28b3o6bobo4bobobobo$28b3o6b2ob4ob2ob2o$31b3o6bo2bo$14b2o8b2o5b3o
6bo2bo$14bo10bo5b3o7b2o$15b10o$12b3o2b6o2b3o$12bo2bo2b4o2bo2bo$13b2o
10b2o!

The way I'm finding these recently is via this, where the ship turns into a block, with various ship placements. Any "block corner" works for this. The catalyst is only considered to fail if the yellow cell dies. I've already done this with the pi-heptomino and the honey farm (including AK-47 for gun potential) a few months ago, then took a break because I had real life work.

Code: Select all

x = 9, y = 8, rule = LifeHistory
2.2A$.A2.A$2A.2A$2.A2$6.2A$6.A.A$7.AE!

Unrelated, here is another apgsearch p8. Form found by apgsearch (and likely cheaper synthesis) on the left, minpop on the right.

Code: Select all

x = 49, y = 20, rule = B3/S23
37b2o$9b2o27bo$9b2o25bo$6bo29b5o$6b5o30bob2o$11bob2o21b3o5bo$6b3o5bo
17b2obo2bo$2b2obo2bo21bo2bobo3b2o3bo$3bobo3b2o3bo15b2obob2o4bo3bo$3bob
2o4bo3bob2o14bo3bo3bo3bo$2obo3bo3bo3bob2o14bo3bo4b2obob2o$2obo3bo4b2ob
o18bo3b2o3bobo2bo$4bo3b2o3bobo24bo2bob2o$10bo2bob2o17bo5b3o$4bo5b3o21b
2obo$4b2obo30b5o$8b5o29bo$12bo27bo$8b2o30b2o$8b2o!

[synperiplanar]

reduction of a p88 J/pi hassler from 180 to 146

Code: Select all

x = 69, y = 41, rule = B3/S23
39bo7bo$40b2o3b3o$38b2o4bo$40bo3b2o4$21bo7bo$21b3o3b2o$24bo4b2o$23b2o
3bo28bo$13b2o40b3o$14bo39bo$14bobo37b2o$15b2o$39bo24bo$2o37b2o23bo$bo
2b2o34b2o20bobo$bobo2bo32b2o17bo2b2obo$2bo2b2o32bo16b3o2b2o$10bo47bo$
6b2o2b3o16bo32b2o2bo$4bob2o2bo17b2o32bo2bobo$4bobo20b2o34b2o2bo$4bo23b
2o37b2o$4bo24bo$52b2o$13b2o37bobo$14bo39bo$11b3o40b2o$11bo28bo3b2o$38b
2o4bo$40b2o3b3o$39bo7bo4$23b2o3bo$24bo4b2o$21b3o3b2o$21bo7bo!

There's probably better reductions but i can't use barrister because my computer is being wonky

[iNoMed]

Reduction to 124 cells:

Code: Select all

x = 53, y = 41, rule = B3/S23
31bo7bo$32b2o3b3o$30b2o4bo$32bo3b2o4$13bo7bo$13b3o3b2o$16bo4b2o$15b2o
3bo28bo$47b3o$46bo$b2o2b3o38b2o$b2o3b3o$31bo$bo29b2o$obo29b2o$o2bo27b
2o17b2o$bo2bo26bo16bo2bo2$bo2bo16bo26bo2bo$b2o17b2o27bo2bo$19b2o29bobo
$20b2o29bo$21bo$44b3o3b2o$5b2o38b3o2b2o$6bo$3b3o$3bo28bo3b2o$30b2o4bo$
32b2o3b3o$31bo7bo4$15b2o3bo$16bo4b2o$13b3o3b2o$13bo7bo!

[Period1GliderGun]

p75, mine (edited 13 minutes later for reduction)

Code: Select all

snip

Reduced with a 36P25 variant:

Code: Select all

x = 55, y = 54, rule = B3/S23
19bo5b2o$18bob2o2bobo$17b2o5b2o$17bob3o6b2o$16b2ob3o6bobo$11bo3bo2b2o
10bo$10bobo2bo14b2o$11bo4bobo$17bo$14bo$13bobo4bo$2o14bo2bobo$bo10b2o
2bo3bo$bobo6b3ob2o$2b2o6b3obo$6b2o5b2o$5bobo2b2obo$5b2o5bo5$17b2o18b2o
$16bo2bo17b2o6b2o$19bo25bo$16b3o24bobo$43b2o$10b2o$9bobo24b3o$9bo25bo
$8b2o6b2o17bo2bo$16b2o18b2o5$42bo5b2o$41bob2o2bobo$40b2o5b2o$40bob3o6b
2o$39b2ob3o6bobo$34bo3bo2b2o10bo$33bobo2bo14b2o$34bo4bobo$40bo$37bo$36b
obo4bo$23b2o14bo2bobo$24bo10b2o2bo3bo$24bobo6b3ob2o$25b2o6b3obo$29b2o
5b2o$28bobo2b2obo$28b2o5bo!

While we're on the subject of 36P25, it can "do the worm", as it were, in two different ways:

Code: Select all

x = 28, y = 18, rule = B3/S23
18b2o$19bo5b2o$18bo5bobo$18b2o5bo2$18b10o$b2o14bo9bo$bobo13bobo4bo$2b
o8b3o4bo3b3o$10bo2bo$5o5bo2bo$o4bo4b2o10b2o$3bobo16b2o$3b2o2$10b2o$4b
2o4b2o$4b2o!

EDIT the following day: p7 C hassler monomer with the new p7 component:

Code: Select all

x = 25, y = 28, rule = B3/S23
3b2o$4bo$2bo$2b5o$6bo$4b2o8b2o$2obo4b2o4bo$2obo4bo$3bo7bo$3bobo4b2o$4b
2o8b3o$13bo2bo$13bo$14bo$21bo$16b2o3b2o$16b2o3b2o$21bo$19bo2bo$19bob3o
$18b2o3bo$17bo3b2o$17b3obo$18bo2bo$19bo$18b2o3b2o$18b2o3b2o$19bo!

[qqd]

Would this be useful for phase-shifting blinkers in partials? (Based on a glider to block) The minimum repeat time is 28:

Code: Select all

x = 25, y = 22, rule = B3/S23
bo$2bo$3o3$23b2o$23bo$21bobo$21b2o$15bo$14bobo$14bo2bo$15b2o$5b2o$5b2o
3bo$9bobo$10bobo2b2o$12bo3bo3b3o$12b4o2$12b2o$12b2o!

[synperiplanar]

Would this be useful for phase-shifting blinkers in partials? (Based on a glider to block) The minimum repeat time is 28:

Code: Select all

x = 25, y = 22, rule = B3/S23
bo$2bo$3o3$23b2o$23bo$21bobo$21b2o$15bo$14bobo$14bo2bo$15b2o$5b2o$5b2o
3bo$9bobo$10bobo2b2o$12bo3bo3b3o$12b4o2$12b2o$12b2o!

this pi-to-G emits a glider while phase shifting a blinker

Code: Select all

x = 10, y = 15, rule = B3/S23
9bo$7b3o$3o3bo$6b2o4$2b2o$3bo$3bo$2bo3$3b2o$3b2o!

a good-enough-clearance G-to-pi could definitely work for creating odd-period loops of some minimum repeat time

[qqd]

p80/p160 traffic light hassler partial, the only issue is that the bookend type catalyst does not have enough clearance to fit:

Code: Select all

x = 54, y = 54, rule = B3/S23Investigator
11.A$10.A.A$10.A.A$8.3A.2A$7.A$8.3A.2A$10.A.2A$28.2A19.A$16.A10.A.A18.
A.A$15.A.A5.2A2.A4.2A3.2A9.A.A$11.2A2.A2.A4.A.A.2A2.A7.A7.2A.3A$11.2A
3.2A7.A8.A.A5.2A9.A$20.2A2.2AE5.2A3.2A3.2A3.2A.3A$20.2A25.2A.A$10.A$9.
A2.A30.2A$9.A2.A29.A2.A$11.A30.A.A$18.3A14.A7.A$11.A16.2A3.2A.2A$9.A2.
A15.2A5.A4.2A$9.A2.A27.2A$10.A$43.2A$7.2A10.2A20.A2.A$7.A2.A8.2A20.3A
$8.3A30.E$12.E30.3A$10.3A20.2A8.A2.A$9.A2.A20.2A10.2A$9.2A$43.A$12.2A
27.A2.A$12.2A4.A5.2A15.A2.A$16.2A.2A3.2A16.A$10.A7.A14.3A$9.A.A30.A$8.
A2.A29.A2.A$9.2A30.A2.A$43.A$3.A.2A25.2A$.3A.2A3.2A3.2A3.2A5.E2A2.2A$
A9.2A5.A.A8.A7.2A3.2A$.3A.2A7.A7.A2.2A.A.A4.A2.A2.2A$3.A.A9.2A3.2A4.A
2.2A5.A.A$3.A.A18.A.A10.A$4.A19.2A$40.2A.A$40.2A.3A$46.A$40.2A.3A$41.
A.A$41.A.A$42.A!

(Partial shown with 4 StateInvestigator eternal off cells.)
This hassler partial is based on the stable traffic jam corner.

[synperiplanar]

is this reduction of a p30 honey farm hassler by Scorbie known? (70 -> 63)

Code: Select all

x = 18, y = 28, rule = B3/S23
12b2o$12b2o2$13bo$12bobo$7b2o2bo2bo$7b2obo$11b2o7$8bo$7bob2o3$2b2o4b3o
$bobo$bo11b2ob2o$2o8bobob2obo$9bob2o$7b3o3bob2o$6bo3b3o3bo$7b3o3b3o$9b
o2bo$12b2o!

[JP21]

is this reduction of a p30 honey farm hassler by Scorbie known? (70 -> 63)

Code: Select all

x = 18, y = 28, rule = B3/S23
12b2o$12b2o2$13bo$12bobo$7b2o2bo2bo$7b2obo$11b2o7$8bo$7bob2o3$2b2o4b3o
$bobo$bo11b2ob2o$2o8bobob2obo$9bob2o$7b3o3bob2o$6bo3b3o3bo$7b3o3b3o$9b
o2bo$12b2o!

There's a reduction to 58 cells from three years ago:

Code: Select all

x = 26, y = 24, rule = B3/S23
22b2o$22bo2bo3$22bob2o$17b2o2bobo$17bo4bo$21bo$18bo2bo$4b2o$2obo20bo$
2o2bo2bo14bo2bo$5bobo14bo2bo$6bo8bo2bo4bo$15bo2bo$5b2o7bo3bo4bo$5b2o8b
o6bo2bo$22bo2bo$24bo2$18b2o$18bo$19b3o$21bo!

and also I saw that 63 cells reduction in an oscillator stamp collection, so yes that reduction is known

[TigerCub414]

Is this T-nosed p7 known?

Code: Select all

x = 11, y = 37, rule = B3/S23
7bo$5bo2bo$9bo$2o2bo4bo$2o2bo2b4o$4bo5bo$5b5o2$5b5o$4bo5bo$2o2bo2b4o$
2o2bo4bo$9bo$5bo2bo$7bo$2b2o$2bo2b2o$3b2o3bo$8bo$3b2o3bo$2bo2b2o$2b2o$
7bo$5bo2bo$9bo$2o2bo4bo$2o2bo2b4o$4bo5bo$5b5o2$5b5o$4bo5bo$2o2bo2b4o$
2o2bo4bo$9bo$5bo2bo$7bo!

[LWSSONHWSSONLWSS]

Reduced but lower clearance:

Code: Select all

 x = 13, y = 39, rule = B3/S23
8bo2bo$7bo$6bo5bo$6bo4b2o$7bo$8bo$4bob4o$5bo3bo$7bo3bo$7b4obo$8bo$9bo$
4b2o4bo$4bo5bo$9bo$5bo2bo$2o$o2b2o$b2o3bo$6bo$b2o3bo$o2b2o$2o$5bo2bo$
9bo$4bo5bo$4b2o4bo$9bo$8bo$7b4obo$7bo3bo$5bo3bo$4bob4o$8bo$7bo$6bo4b2o
$6bo5bo$7bo$8bo2bo!

[WhiteHawk]

Reduced:

Code: Select all

I think the point of the last one was that it has more clearance.

EDIT: using p7 pipsquirters, possibly more clearance than original?

Code: Select all

x = 22, y = 33, rule = B3/S23
10b2o$4b2o5b3o$3bo2bo2bo4bo$3bobo2bob4obob2o$2b2ob4o4bobobo$3bobo4b2o
3bobo$3bob4o4b3ob2ob2o$bob2o5b2o4bo4bo$obo3bob2o2b3obob3o$o2bob2obo2b
o2bo3bo$b2o7b2o$16bo$16bo$11b2o$11bo2b2o$12b2o3bo$17bo$12b2o3bo$11bo2b
2o$11b2o$16bo$16bo$b2o7b2o$o2bob2obo2bo2bo3bo$obo3bob2o2b3obob3o$bob2o
5b2o4bo4bo$3bob4o4b3ob2ob2o$3bobo4b2o3bobo$2b2ob4o4bobobo$3bobo2bob4o
bob2o$3bo2bo2bo4bo$4b2o5b3o$10b2o!

[Period1GliderGun]

p46 wing shuttle, found by accident:

Code: Select all

x = 74, y = 75, rule = B3/S23
31b2o5b2o$30bo2bo3bo2bo$30bo9bo$30bo2bo3bo2bo$30b2ob2ob2ob2o$34bobo$33b
2ob2o5$31b3o3b3o$30bo9bo$30bo3bobo3bo$31b3o3b3o$32bo5bo12$38b2o$38b2o
$59bo$58bo2bo$45b2o10b5o10b2o$45b2o9b2ob3o10b2o$14bo42bob2o$13bo2bo6b
2o15bo17b2o$2o10b5o5b3obo12bobo$2o9b2ob3o4bo4b3o9bo2bo16b2o$12bob2o6b
3obo11b3o16bob2o$13b2o8b2o31b2ob3o10b2o$57b5o10b2o$13b2o43bo2bo$12bob
2o43bo$2o9b2ob3o10b2o$2o10b5o10b2o$13bo2bo$14bo$34b2o$33bo2bo$33bo7bo
$33bo2bo3bobo$33b2ob2ob2ob2o$37bobo$36b2ob2o5$34b3o3b3o$33bo9bo$33bo3b
obo3bo$34b3o3b3o$35bo5bo12$34b2o5b2o$34b2o5b2o!

[Chris857]

https://catagolue.hatsya.com/object/xp6 ... y133/b3s23
p66 oscillator found by C.R. Hilton on 2025-11-05 in D8_1 (crosspost from Discord)

Code: Select all

x = 45, y = 45, rule = B3/S23
17b2o7b2o$16bo2bo5bo2bo$16bo11bo$9b2o5b2o9b2o5b2o$9b2o5b3o7b3o5b2o4$18b
o7bo$3b2o12b2o7b2o12b2o$3b2o35b2o6$b4o35b4o$o2b2o4bo25bo4b2o2bo$o3bo3b
2o25b2o3bo3bo$bo41bo6$bo41bo$o3bo3b2o25b2o3bo3bo$o2b2o4bo25bo4b2o2bo$
b4o35b4o6$3b2o35b2o$3b2o12b2o7b2o12b2o$18bo7bo4$9b2o5b3o7b3o5b2o$9b2o
5b2o9b2o5b2o$16bo11bo$16bo2bo5bo2bo$17b2o7b2o!