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toroidalet

How can I use slow gliders to reflect a LWSS 90° like this? (the spacing doesn't matter):

x = 24, y = 28, rule = LifeHistory
10.C2.C$14.C$10.C3.C$11.4C5$21.D.D$20.D$20.D$20.D2.D$20.3D$2.4D$4.2D$
3.D.D$2.D2.D$.D7.3A$D10.A$10.A6$3A$2.A$.A!

toroidalet

It seems like it's probably wwei23 (remember them?) Seriously, IS BLACKSTORM BANNED OR NOT??? I don't know who the hell you're talking about so you can stop spamming me with this stuff. As of now I'm putting you and majestas on my ignore list since you both contribute nothing. Don't know. I assume t...

toroidalet

Improvements: x = 27, y = 13, rule = LifeHistory 7.2A$6.A2.A13.A.2A$.2A4.3A13.2A.A$.A$3.A.3C15.3C$2.2A.C2.C14.C2.C$A2. A3.C17.C$2A3.A.2C14.A.2C$4.2A15.3A$5.A14.A4.2A$4.A15.2A4.A$4.2A19.A$ 25.2A! x = 23, y = 10, rule = LifeHistory 2.2A$3.A$3.A.2C11.2C$.A.A2.C9.A2.C$A.A.A.C.2A6.2A.C.2A$A.A.A.C.2A9.C. ...

toroidalet

Smaller replicators and computers in Devore Circuitry in B2a/S which probably makes it universal (self-promotion). The slowest 1-cell 3-state ship , with a period of basically 2^6911 GUYTU6J posted lots of cool ships in the 5S thread, but they may or may not count (being part of the 5S project).

toroidalet

Assuming your function is defined, its strength would still be less than ω_1 (we can remove the CK because all admissible ordinals of countable order are countable) because you can view it as the diagonalization across f_ω_α(n)^CK, where α(n) is the minimum order of the busy beaver equivalent for n ...

toroidalet

Hardly:

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x = 20, y = 15, rule = B3/S23
b2o5b2o$b2o5b2o3$bo7bo$3o5b3o7bo$o9bo7bo$b3o3b3o7bobo$18bo$4bobo11bo$
18bo$18bo$17bobo$b2o5b2o8bo$b2o5b2o8bo!

toroidalet

That would actually be 59. Here's 54: x = 13, y = 10, rule = LifeHistory 3.C.CA$.3C.CDC.2C$A3.C2.A.2C$.A2.C.2A$2.A.C2.A$.2A.C2.C.A$5.3C.3A$12. A$5.2A.2C.A$5.2A.2C.2A! EDIT: 53: x = 13, y = 12, rule = LifeHistory 4.A$3.A.A$3.C.C$.3C.2CD.2C$A3.C4.2C$.A2.C$2.A.CA$.2A.C2.C.A$5.3C.3A$ 12.A$5.2A.2C.A$5.2A...

toroidalet

So this puffer is clean? (run in Golly for at least 100 thousand generations to see the puffer-ness) x = 47, y = 24, rule = B2i3/S23-ce5ry6i 3o$o2bo$b3o19$43b3o$43bo2bo$44b3o! Also, with this example, it's sort of hard to tell where the engine is . Similarly, what would be the engine of a caterpilla...

toroidalet

13-cell explosive growth:

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x = 2, y = 11, rule = B3457/S4568
bo$2o$2o$bo$bo$bo$bo$bo$bo$bo$bo!

EDIT: explosive growth in a 20-cell (2*10) bounding box. I believe both of these are close to minimal.

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x = 10, y = 2, rule = B3457/S4568
5ob4o$10o!

toroidalet

Here's an example of a nonperiodic way to fulfill the parity condition (imagine the block rows extend infinitely) x = 68, y = 71, rule = B1357/S1357 34b2o$34b2o2$34b2o$34b2o2$34b2o$34b2o2$34b2o$34b2o2$34b2o$34b2o2$34b2o $34b2o2$34b2o$34b2o2$34b2o$34b2o2$34b2o$34b2o2$34b2o$34b2o2$34b2o$34b 2o2$34b2o$...

toroidalet

(This isn't exactly related to the topic of this thread but I wasn't sure where else to put this) How many table lines (counting variables) are needed for a Life ruletable? Here's a 21-line table using rotate4reflect symmetry (I can provide details on how it works if needed): @RULE GolfLife @TABLE n...

toroidalet

Although the anti-aliasing is gone, the annoying slowness that occurs at zoom levels with more than 1 pixel/cell is still there. I made a video showing rendering bugs, you can find it at https://www.youtube.com/watch?v=mpltWadncZg (the forums don't let you upload videos). It also includes a centerin...

toroidalet

I thought about adding transition rules so that mismatched tiles die out, but since the tiling is anisotropic there would be a vast amount of 4¹² rules. Never underestimate the power of variables: @RULE Wangtiledeath @TABLE n_states:12 neighborhood:vonNeumann symmetries:none var reddown={0,1,4,6,11...

toroidalet

I tried experimenting, and I'm not sure that it's actually the grid edge that's causing the first problem. Instead, when pixels below a certain height are visible, it stops rendering live (or visited) cells altogether. (interestingly, in the holiday theme the snow will fall as though there are no ce...

toroidalet

For me (I use Safari 9.1.3) the viewer will fail to render patterns whenever the edge or gridlines are in view.

toroidalet

1,2,5,9,8,6,1,11,21,51,... a(n)=the 180° rotation of the nth number which is still a number when read upside down (i.e composed only of 0,1,2,5,6,8,9) The problem with this thread is that you get a lot of sequences like 6,6,3,3,8,3,5,5, and no one's going to guess that it's "every other digit of 6√...

toroidalet

Life has ℵ_0 speeds (for instance, caterloopillars), which is the maximum cardinality possible (since all speeds are triples of natural numbers). I'm also pretty sure that HighLife has that number of replicator ship speeds, too. There are also a great deal of non-totalistic rules with an infinite se...

toroidalet

@JP21, please don't post completely unrelated questions outside of "anything goes" sandbox. It adds useless clutter and not much else. @EV2, the best current solution is to save your patterns frequently. Also, I don't think that switching to QuickLife will really help, since (at least for me) when G...

toroidalet

Correction: he bravely runs away. A further inaccuracy: not shown was the minstrel, although this hardly matters since said minstrel was later eaten: x = 203, y = 173, rule = B3/S23 103b2o$103bobo$105bo4b2o$101b4ob2o2bo2bo$101bo2bobobobob2o$104bobobobo $105b2obobo$109bo$144b2o$95b2o47bobo$96bo7b2o40...

toroidalet

16c/728 spaceship: ship smaller: x = 286, y = 404, rule = B3-ckry4z5c7c/S2-cn3-aky4it5j 37b3o$37bo$38bo31$5b3ob3o$5bobobobo$5bobobobo$7bobo$7bobo$5bobobobo$5b 3ob3o$6bo3bo$201b2o$200bobo$202bo6$o15bo$o15bo$o15bo5$3bo9bo$3bo9bo$3b o9bo25$128b3o$128bo$129bo35$274b3ob3o$273bo2bobo2bo$273bo2bobo2bo$273...

toroidalet

Shorter solution in b****fuck for the original challenge:

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+++++++[->++++++<],[<.>-] or
++++++[->+++++++<],[<.>-]

toroidalet

Google Translate can more or less parse Russian text as almost any Slavic or Soviet language. Here is text from a Russian website being variously interpreted in Russian , Bulgarian , Croatian , Bosnian , Serbian , Slovenian , Macedonian , Ukrainian , Belarusian , Armenian , Georgian , Kazakh , Azerb...

toroidalet

I'm fairly confident you can't define a fundamental sequence for ω_1^CK in a finite number of bits, since otherwise you could use the representation to compute the sequence and thus the Busy Beaver function. Also, getting a function with growth rate ω_1 is problematic, since ω_1 has no fundamental s...

toroidalet

Off-topic, but here's a repeat time 51 electron-G converter: x = 25, y = 30, rule = WW_LIFE 12.D$12.D$12.D$12.D.D$12.D$12.D$12.D$12.D$12.D$12.D$10.D.D$12.D$6.D4. D$6.D4.D3$11.2A5.2D$2.2D6.A2.A4D.2DBCD$.D9.2A5.2D.B2.D$.D19.D2.D$.D 17.2D3.D$2.D3.D4.D6.D5.D$3.D2.D4.D7.3D2.D$4.D9.2D6.D.D$5.9D.7D2.D$14. ...

toroidalet

If for you, universes mean what I think they mean (each universe is a copy of the "dimension ascend" structure with the power to oracle any lower universe), then it would only be ω_(ω^(ω+1))^CK (in the future, I'll ignore the ω_^CK bit for convenience). Of course, you can add dimensions of universes...

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