## Search found 1050 matches

- January 9th, 2020, 8:21 pm
- Forum: The Sandbox
- Topic: Largest total uncomputable function competition
- Replies:
**35** - Views:
**2130**

### Re: Largest total uncomputable function competition

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 ...

- January 8th, 2020, 2:55 pm
- Forum: Patterns
- Topic: Oscillator Discussion Thread
- Replies:
**1188** - Views:
**541028**

### Re: Oscillator Discussion Thread

Hardly:

Code: Select all

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

- January 8th, 2020, 2:48 pm
- Forum: The Sandbox
- Topic: Stabilise [GAME]
- Replies:
**52** - Views:
**3624**

### Re: Stabilise [GAME]

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...

- January 7th, 2020, 1:54 am
- Forum: General Discussion
- Topic: Create your own terminology
- Replies:
**102** - Views:
**39550**

### Re: Create your own terminology

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...

- January 5th, 2020, 9:11 pm
- Forum: Other Cellular Automata
- Topic: Gems (B3457/S4568)
- Replies:
**8** - Views:
**1306**

### Re: Gems (B3457/S4568)

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

Code: Select all

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

Code: Select all

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

- December 31st, 2019, 5:47 pm
- Forum: General Discussion
- Topic: Thread for basic questions
- Replies:
**1712** - Views:
**460193**

### Re: Thread for basic questions

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$34b2o$...

- December 30th, 2019, 3:31 pm
- Forum: The Sandbox
- Topic: Rule Golf
- Replies:
**4** - Views:
**1622**

### Re: Rule Golf

(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...

- December 28th, 2019, 1:19 am
- Forum: Website Discussion
- Topic: Pattern viewer for forum threads
- Replies:
**1409** - Views:
**317931**

### Re: Pattern viewer for forum threads

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...

- December 26th, 2019, 2:07 am
- Forum: The Sandbox
- Topic: Rule Table Thread
- Replies:
**21** - Views:
**4691**

### Re: Rule Table Thread

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...

- December 24th, 2019, 10:13 pm
- Forum: Website Discussion
- Topic: Pattern viewer for forum threads
- Replies:
**1409** - Views:
**317931**

### Re: Pattern viewer for forum threads

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...

- December 23rd, 2019, 7:56 pm
- Forum: Website Discussion
- Topic: Pattern viewer for forum threads
- Replies:
**1409** - Views:
**317931**

### Re: Pattern viewer for forum threads

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

- December 23rd, 2019, 7:47 pm
- Forum: The Sandbox
- Topic: Guess the sequence [GAME]
- Replies:
**14** - Views:
**1554**

### Re: Guess the sequence [GAME]

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√...

- December 17th, 2019, 2:21 pm
- Forum: Other Cellular Automata
- Topic: Rules with the most amount of spaceships
- Replies:
**4** - Views:
**274**

### Re: Rules with the most amount of spaceships

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...

- December 14th, 2019, 12:28 pm
- Forum: Bugs & Errors
- Topic: Golly not responding
- Replies:
**7** - Views:
**440**

### Re: Golly not responding

@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...

- December 12th, 2019, 12:47 am
- Forum: The Sandbox
- Topic: [Nonsense Writing]GoL Breaking News
- Replies:
**10** - Views:
**1689**

### Re: [Nonsense Writing]GoL Breaking News

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...

- November 24th, 2019, 3:27 pm
- Forum: Other Cellular Automata
- Topic: Miscellaneous Discoveries in Other Cellular Automata
- Replies:
**1513** - Views:
**304869**

### Re: Miscellaneous Discoveries in Other Cellular Automata

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...

- November 24th, 2019, 2:47 pm
- Forum: The Sandbox
- Topic: A Code-Golf challenge
- Replies:
**5** - Views:
**1407**

### Re: A Code-Golf challenge

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

Code: Select all

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

- November 23rd, 2019, 2:25 am
- Forum: The Sandbox
- Topic: Google Translate
- Replies:
**16** - Views:
**492**

### Re: Google Translate

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...

- November 20th, 2019, 9:43 pm
- Forum: The Sandbox
- Topic: Largest total uncomputable function competition
- Replies:
**35** - Views:
**2130**

### Re: Largest total uncomputable function competition

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...

- November 9th, 2019, 4:17 pm
- Forum: Other Cellular Automata
- Topic: Rule request thread
- Replies:
**517** - Views:
**180911**

### Re: Rule request thread

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. ...

- November 7th, 2019, 1:12 am
- Forum: The Sandbox
- Topic: Largest total uncomputable function competition
- Replies:
**35** - Views:
**2130**

### Re: Largest total uncomputable function competition

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...

- November 3rd, 2019, 4:25 pm
- Forum: The Sandbox
- Topic: Largest total uncomputable function competition
- Replies:
**35** - Views:
**2130**

### Re: Largest total uncomputable function competition

I'm pretty sure that "tape ascend" is ω_ω^CK (but much faster than the diagonal busy beaver), since it can access an arbitrary but finite (otherwise it would never halt) oracle level, making it the limit of all the oracle Turing machine functions. Similarly, "plane ascend" is ω_(ω^2)^CK,"space ascen...

- November 3rd, 2019, 3:43 pm
- Forum: The Sandbox
- Topic: Ordinals in googology
- Replies:
**166** - Views:
**4856**

### Re: Ordinals in googology

Is the well ordering of w_1 provable? Isn't well-orderedness part of the definition of an ordinal? If I'm missing something, then see this proof (set X to be the set of natural numbers to get the conclusion that ω_1 exists and is well-ordered) Thanks now I understand everything. But what about w-1?...

- October 31st, 2019, 8:32 pm
- Forum: The Sandbox
- Topic: Ordinals in googology
- Replies:
**166** - Views:
**4856**

### Re: Ordinals in googology

This is sort of a stupid question, but why isn't ε_1=ε_0^ω?

- October 31st, 2019, 8:28 pm
- Forum: The Sandbox
- Topic: RLE copy/paste thread - PHPBB12345
- Replies:
**90** - Views:
**28513**

### Re: RLE copy/paste thread - PHPBB12345

x = 256, y = 256, rule = B1357/S02468:T256,256 b2ob2ob2ob2ob2obob2ob2ob2ob2ob2ob3o3b3o3b3ob2ob2ob2ob2ob2ob2ob2ob2ob2o b2ob3o3b3o3b3o5b3o3b3o3b3ob2ob2ob2ob2ob3ob2ob2ob2ob2ob3o3b3o3b3o5b3o3b 3o3b3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3o3b3o3b3ob2ob2ob2ob2ob2obob2ob2o b2ob2ob2o$bo3bobo3bobo5bobo3bobo3bo5bo5...