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p160 rotating oscillator:

x = 4, y = 3, rule = B3/S23-a4kqtwz5kqr6c
2o$ob2o$3bo!

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While rule golfing for some rule that is easy to make Turing machines and universal constructors in, I found this p36 osillator:

Code: Select all

x = 4, y = 4, rule = B3-ck4twz/S2-c3-c4iz5kry6ci8
3o$obo$o2bo$2bo!

As well as this 11c/47 block puffer:

Code: Select all

x = 4, y = 3, rule = B3-ck4twz/S2-c3-c4iz5kry6ci8
3o$o2bo$2b2o!

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All don'ts for reversible rules:
Don't have:
A predecessor to a still life except itself.
A predecessor to an oscillator except one of its phases.
A spaceship eater.
Any spaceship collisions that annihilate each other or leave a single spaceship.
Any live patterns that die out.

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A c/9 rake that I can't get to corderize (it moves backwards):

Code: Select all

x = 3, y = 4, rule = B3-cy4twz/S23
b2o$obo$o$3o!

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Interesting reaction. x = 31, y = 9, rule = LifeHistory 2A26.2A$2A26.2A4$.2A26.2A$2A4.2C20.2A$.2A2.C.C21.2A$2.A3.C23.A! Here is a B-to-G period-doubler Boat absent: B converts into boat x = 17, y = 10, rule = LifeHistory 9.2A$8.B2AB$8.3B$5.2B2.B$3.11B$.9B2C4B$9B2C4B2D$.9B2C2BDBD$3.8BC3BD$ 8.B.4B! B...

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p120 tear-drop hassler:

Code: Select all

x = 22, y = 22, rule = B3-c4k/S23
19b2o$o18bo$3o14bobo$3bo13b2o$2b2o2$14b2o$13bo2bo$13bo2bo$13b3o8$18b2o
$3b2o13bo$2bobo14b3o$2bo18bo$b2o!

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c/9 diagonal spaceship with inquiry:

Code: Select all

x = 4, y = 4, rule = B35inqry/S23
b2o$o2bo$obo$2o!

EDIT: Extremely sparky p16 after adding 4twz to the above:

Code: Select all

x = 3, y = 3, rule = B35inqry/S234twz
3o$obo$3o!

EDIT2: c/4 spaceship without cry:

Code: Select all

x = 5, y = 4, rule = B3/S23-cry
b3o$bo2bo$o$b2o!

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Now this is just the weirdest binary counter I have ever seen. And I found it by accident!

Code: Select all

x = 32, y = 11, rule = B3/S23-a4i5i6i78
30b2o$31bo$30b2o2$2o28b2o$o30bo$2o28b2o2$2o$o$2o!

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Two three-quarters Jason's p33s jostling a beehive: x = 26, y = 47, rule = B3/S23 bo4b2o$obo2bobo$bo4bo5$12b2o$8b2obo2bo$7bobo5b5o$7bo3bo5bo2bo$7bo3b2o 8bo$8bo8b2o3bo$9bo2bo5bo3bo$10b5o5bobo$15bo2bob2o$16b2o5$22bo$21bobo$ 21bobo$22bo8$16b4o3bobo$16bo2bo2bo2bo$5b2o10b3o5bo$4bo5b3o10b2o$4bo2b o2bo2bo$...

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p56 extremely strong phi sparker, partial by cvojan, completed by Period1GliderGun x = 41, y = 32, rule = B3/S23 16b3o$16b3o6b2o$2o13bo3bo4bobo$bo10bo3b2o2bo3b2o$bobo7bob2obo3b2o6b2o $2b2o6b2o3bob2obo7bobo$6b2o3bo2b2o3bo10bo$5bobo4bo3bo13b2o$5b2o6b3o$13b 3o10bo3b2o5b2o$24b3o3b2o5b2o$23bo$23b2o5bo7b...

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Can anyone stabilize this bare engine? Here is my best partial, with two engines side by side: x = 9, y = 20, rule = B2i3/S2-c3-c4-aeqrw b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo7$b2obo$obob3o$obo4bo$ ob2o2b3o$obo4bo$obob3o$b2obo! If you add the transition S5y, you can make a wickstretcher b...

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There is this interesting volatility-1 p48 that came from soup (look a gen 24 for a surprise): x = 6, y = 5, rule = B2i3/S2-c3-c4-aeqrw 6o$6o$6o2$bo2bo! [[ STOP 24 ]] Also this p7, which looks like a pentadecathlon being hassled by 4 blocks: x = 9, y = 14, rule = B2i3/S2-c3-c4-aeqrw bo5bo$2o5b2o2$3b...

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Can anyone stabilize this bare engine? Here is my best partial, with two engines side by side:

Code: Select all

x = 9, y = 20, rule = B2i3/S2-c3-c4-aeqrw
b2obo$obob3o$obo4bo$ob2o2b3o$obo4bo$obob3o$b2obo7$b2obo$obob3o$obo4bo$
ob2o2b3o$obo4bo$obob3o$b2obo!

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I do not think this p2 phoenix wick has ever had a completion before (at least, not as a phoenix): A much simpler version. x=34, y=27 5bo$5bobo$3bo$8b2o$2b2o$9bo$bo$10b2o$2o6bo$6bobo3b2o$2bobo$4bo9b2o2$16b2o2$18b 2o9bo$29bobo$20b2o3bobo$25bo6b2o$22b2o$32bo$24bo$30b2o$24b2o$30bo$26bobo$28b o! Years ...

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I do not think this p2 phoenix wick has ever had a completion before (at least, not as a phoenix): x = 74, y = 103, rule = B3/S23 $4bo$2bobo$6bobo$2o6bo$10bo$bo$10b2o$2b2o$9bo$3bo$5bobobobo$5bo$11bobo 2$13bobo2$15bobo$19bo$15bo3bobo2$14b2o6b2o2$16bobo4bo$18bo6bo$20bo4bob o2$20b2o6b2o2$22bobo3bo$24bo...

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I am not sure if this twin bees shuttle variant is known, but it has a medium clearance spark: x = 35, y = 28, rule = B3/S23 4bo25bo$3bobo23bobo$3bobo23bobo$b3ob2o21b2ob3o$o33bo$b3ob2o21b2ob3o$3b ob2o6b2o13b2obo$12bobo$12bo$12b3o4$12b3o$12bo$12bobo$13b2o4$3b2o25b2o$ 2bobo25bobo$2b2o27b2o2$5b2o21b2o$...

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90-degree reflector that wanted to send the glider back from where it came but another glider collided with it and brought chaos and finally a glider was sent southwest: x = 23, y = 21, rule = BondOrDecayLife6 18.2B$17.B2AB$17.B2AB$18.2B6$9.A$10.A$.2B5.3A8.3B$B2AB15.B2AB$B2AB15. B2AB$.2B17.2B2$17.2B...

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I wanted to prove that p2 oscillators with a unidimensional stators exist [...] I think the blinker already counts as an example... I seriously forgot about the blinker ?! Anyway, at least it proves that infinitely many (non-trivial) p2s with 1d stators exist, as well as the fact that the stators c...

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I wanted to prove that p2 oscillators with a unidimensional stators exist by making a phoenix stabilization of a p2 wick I found, but yet again I cannot complete the phoenix loop for some reason (1d stator highlighted in yellow, problematic cells highlighted in white): x = 29, y = 23, rule = LifeHis...

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First hand-made catalyst ever! (Okay, it seems like I rediscovered a variant of a known one, but this one was independently discovered by hand!): ... its known, and can be reduced x = 11, y = 11, rule = B3/S23 6b2o$7bo$5bo$5b2o$10bo$5b2o2bo$4bo2bobo$3bob2o2bo$3bo6bo$2obo$2ob2o! I mentioned it was k...

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First hand-made catalyst ever! (Okay, it seems like I rediscovered a variant of a known one, but this one was independently discovered by hand!): x = 11, y = 13, rule = B3/S23 2b2o$3bo$2bo3b2o$2b2o3bo$5bo$2b5o$2bo7bo$5b2o2bo$4bo2bobo$3bob2o2bo$3b o6bo$2obo$2ob2o! To prove that I found it by hand, he...

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Oh no, another multistate CA...just made it in the free time. Ruletables are easier to create than ruletrees. x = 0, y = 0, rule = Particletest ! @RULE Particletest @TABLE n_states:4 neighborhood:Moore symmetries:rotate4reflect var a1 = {0,1,2,3} var a2 = {0,1,2,3} var a3 = {0,1,2,3} var a4 = {0,1,...

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Fake p19 monomer (needs banana spark): x = 23, y = 23, rule = B3/S23 10.2A$10.A.A$13.A2.2A$11.2A.A2.A$10.A.A.2A$11.A2.A$11.A2.A6.2A$15.A5. A$6.A4.A3.A2.2A.A$5.A.2A.A5.A3.A$2A3.2A6.A$A2.2A7.A.A$.2A2.4A4.A4.A$3. A2.A2.2A5.2A$3.2A6.A3.A$11.A3.A2.2A$6.A.2A2.3A3.A$4.3A.2A9.3A$3.A11.2A 4.A$4.3A.2A4.A$6.A....

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I wish this HF-to-B actually worked (the block is transparent if you remove the bottom-most eater): x = 16, y = 20, rule = LifeHistory 15.A$6.D6.3A$5.3D4.A$4.2D.D4.2A4$2C$2C7.2C$8.C.2C$9.C6$5.2A$6.A$3.3A$ 3.A! [[ STOP 50 ]] Here it is without the bottom eater, to show the block's transparency: x = 1...

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The new p19 monomer + gun (This version is most Life-like): x = 23, y = 23, rule = B3/S23Investigator 10.2A$10.A.A$13.A2.2A$11.2A.A2.A$10.A.A.2A$11.A$21.2A$21.A$6.A5.3A4.A .A$5.A.A3.A3.A3.2A$2A3.2A3.A5.A$A2.2A5.A5.A$.2A2.2A3.A5.A$3.A2.A4.A3. A3.C$3.2A7.3A$18.2D$6.A.2A7.C.E$4.3A.2A$3.A7.C$4.3A.2A$6.A...

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