## Search found 1031 matches

- November 9th, 2019, 4:17 pm
- Forum: Other Cellular Automata
- Topic: Rule request thread
- Replies:
**510** - Views:
**176266**

### 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:
**24** - Views:
**1489**

### 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:
**24** - Views:
**1489**

### 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:
**137** - Views:
**2423**

### 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:
**137** - Views:
**2423**

### 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:
**82** - Views:
**27291**

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

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

- October 31st, 2019, 8:27 pm
- Forum: The Sandbox
- Topic: RLE copy/paste thread - PHPBB12345
- Replies:
**82** - Views:
**27291**

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

x = 256, y = 256, rule = B1357/S02468:T256,256 bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo bobobobobobobobobobobobobobobobobobobob...

- October 21st, 2019, 8:32 pm
- Forum: General Discussion
- Topic: Thread for basic questions
- Replies:
**1682** - Views:
**442983**

### Re: Thread for basic questions

All the buzz has been about colliding gliders to cleanly make a Sir Robin. But is it possible for a finite amount of Sir Robins to cleanly make a single glider? After all, the knightship's so big it's hard to clean any reaction up. Colliding 35 pairs of Sir Robins like this can create any 35-glider...

- October 20th, 2019, 4:03 pm
- Forum: The Sandbox
- Topic: RLE copy/paste thread - PHPBB12345
- Replies:
**82** - Views:
**27291**

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

#C [[ PASTET EVERY 41 ]] #C [[ PASTE bo$obo$bo! 0 12 ]] #C [[ PASTE bo$obo$bo! 134 12 ]] x = 137, y = 27, rule = B3/S23 4bo127bo$4b3o123b3o$7bo121bo$6b2o12bo31bo31bo31bo12b2o$20bo31bo31bo31b o$2o18bo31bo31bo31bo18b2o$bo133bo$bobo129bobo$2b2o129b2o2$16bo7bo23bo 7bo23bo7bo23bo7bo$14b2ob2o3b2ob2o19b2o...

- October 19th, 2019, 4:05 pm
- Forum: Website Discussion
- Topic: Pattern viewer for forum threads
- Replies:
**1295** - Views:
**304494**

### Re: Pattern viewer for forum threads

Rules that start with R are still displayed as 2-state rules, and patterns in invalid rules are not displayed at all at zoom levels below -1.0 (zoomed out more than 1 pixel/cell). Test cases: x = 2, y = 1, rule = Rule ABC! x = 2, y = 1, rule = R5B3C3 ABC! This variant is a fringe bug of little impor...

- October 19th, 2019, 12:43 am
- Forum: Website Discussion
- Topic: Pattern viewer for forum threads
- Replies:
**1295** - Views:
**304494**

### Re: Pattern viewer for forum threads

Can you fix the bug where only state 1 shows up for patterns in invalid rules, or is that one of those "me bugs"?

- October 19th, 2019, 12:39 am
- Forum: Other Cellular Automata
- Topic: Wire World Extensible 3 (WWEJ3)
- Replies:
**96** - Views:
**47794**

### Re: Wire World Extensible 3 (WWEJ3)

p268 18c/54 gun: x = 150, y = 15, rule = WWEJ3 2.C$.C.C$C$.C$2.13CGBCHB2CFBCEBCEBCEBCEBCEBCEBCEBCFB5CEBCEBCEBCIB14CK BCLB3CFBCEBCHBCFBCFBCFBCEBCLBCHBCFBCFBCEBCLBCFBCHBCFBCFBCFBCFBCLBCHB 2C$.C9.C3.G133.F$C10.C3.13CBECBHCBFCBFCBHCBFCBLCBFCBHCBFCBKCBECBECBFC BFCBFCBHCBKCBFCBFCBFCBFCBHCBFCBKCBECBFCBFCBH...

- October 14th, 2019, 2:44 pm
- Forum: The Sandbox
- Topic: Thread for Non-CA Academic Questions
- Replies:
**303** - Views:
**72723**

### Re: Thread for Non-CA Academic Questions

The paper Transfinite Game Values in Infinite Chess (which also provides an infinite 2D chess position with a value of ω^3) proves that with infinite configurations, the ordinal of 3d chess (it also works on 3D chess with finite but sufficiently large thickness) is ω_1 (first uncountable ordinal). W...

- October 13th, 2019, 9:43 pm
- Forum: The Sandbox
- Topic: Predecessor [GAME]
- Replies:
**2** - Views:
**170**

### Re: Predecessor [GAME]

652: x = 254, y = 249, rule = B3/S23 50b2o33bob2o15b2obo26b2o$5b2ob2o15b2ob2o19bob3o30b2obo17bob2o23b3obo$ 6bobo17bobo20bobo2bo32bo17bo25bo2bobo$8bo17bo21b2o2b2obo31b2o15b2o24bo b2o2b2o$8b2o15b2o24bob2o7b2o20bo37b2o7b2obo$15b2ob2o12b3o8bo4b2obo7bob o2bo18bobo6bob2ob2obo7bobo10bo2bobo7bob2o3bo$3bobo7...

- October 13th, 2019, 8:56 pm
- Forum: Other Cellular Automata
- Topic: Thread For Your Unrecognised CA
- Replies:
**1469** - Views:
**502599**

### Re: Thread For Your Unrecognised CA

Here's a mediocre rule with a p330 binary counter: x = 3, y = 4, rule = B2-ak3ai4n5/S2i3-i4-q5iq8 obo3$obo! p330*2^n oscillators (and probably guns) can be constructed fairly trivially. Here are some hassler-based guns for a small 2c/6 ship: p63: x = 35, y = 14, rule = B2-ak3ai4n5/S2i3-i4-q5iq8 18b2...

- October 9th, 2019, 1:00 am
- Forum: Other Cellular Automata
- Topic: ATPP (B3-ckq4z/S2-c3-a4iq5k6k)
- Replies:
**65** - Views:
**20584**

### Re: ATPP (B3-ckq4z/S2-c3-a4iq5k6k)

Dani posted a comment about the tube replicator a while ago. Binary counter (sort of) based on it: x = 71, y = 66, rule = B3-ckq4z/S2-c3-a4iq5k6k 14b3ob3o11b3ob3o11b3ob3o$14bobobobo11bobobobo11bobobobo63$3ob3o57b3ob 3o$obobobo57bobobobo! 12c/168 (c/14) ship: x = 372, y = 192, rule = B3-ckq4z/S2-c3-a...

- October 8th, 2019, 11:52 pm
- Forum: Other Cellular Automata
- Topic: Lejkin's Polystate Life
- Replies:
**5** - Views:
**1576**

### Re: Lejkin's Polystate Life

11G synthesis of Saka's pattern: x = 71, y = 60, rule = Polystate_B3S23_3 4$61.B$60.B$60.3B7$4.B$5.B$3.3B$7.B$6.B$6.3B2$.2A$.2A4$3.2A2.2B50.A$ 2.A.A2.B.B48.A$4.A2.B50.3A4$35.2B$30.2A3.2B$30.2A3$33.2A2B$33.2A2B3$ 36.2A$37.2A$36.A6.3A$43.A$44.A4$50.2A$50.A.A$50.A! Cool catalysis: x = 7, y = 7, rule = ...

- October 8th, 2019, 11:44 pm
- Forum: The Sandbox
- Topic: Stabilise [GAME]
- Replies:
**43** - Views:
**2811**

### Re: Stabilise [GAME]

101: x = 14, y = 15, rule = LifeHistory 6.2E$6.E$2E5.3E$E.A.3A2.E$2.A.A2.E$.EA2.A.2E$E2.2A.A2.E$.E.A2.ADE.A$ 2.A2.A.ED.A$3.EA2.A.2A.2E$4.E.2A4.E$2.E2.A2.3A.E$2.2E.E.E2.E.2E$5.E.E $5.2E! EDIT: 98 x = 16, y = 15, rule = LifeHistory 3.2E$4.E$3.E$2.A.3A$2.A.A2.E.2E$.EA2.A.E.E.E$E2.2A.A2.E2.E.2E$.E.A2.A ...

- October 6th, 2019, 8:43 pm
- Forum: The Sandbox
- Topic: Ordinals in googology
- Replies:
**137** - Views:
**2423**

### Re: Ordinals in googology

There are total functions based on intermediate Turing degrees (r.e. sets that aren't universal or recursive) that dominate every computable function but are dominated by the busy beaver function, i.e. f M (n)=(the maximum time Turing machine M takes to accept a string of length n), where M is any T...

- October 6th, 2019, 5:02 pm
- Forum: The Sandbox
- Topic: Stabilise [GAME]
- Replies:
**43** - Views:
**2811**

### Re: Stabilise [GAME]

90: x = 16, y = 9, rule = LifeHistory 9.2E$5.E2.E2.E$.A2.A.A2.2E.A.2E$.AE2A2.2A3.A.E$3.D.2A.DA.A2.A$.AEA.E 2.2A.E2A$E2.E.E$2E2.E3.4E$8.E2.E! Here are 2 others: x = 16, y = 10, rule = LifeHistory 10.2E$2E8.E.E$E.E5.2E2.E$2.A2.D.A2.2E.AE$.EA.2A2.2A3.A.E$2.E.A.2A.DA. A2.A$2.A.A4.2A.E2A$3.2E$9.4E$9.E2.E...

- October 4th, 2019, 1:32 am
- Forum: The Sandbox
- Topic: Testing Grounds
- Replies:
**259** - Views:
**75472**

### Re: Testing Grounds

This is the lesimorp I eno tsa wrote:December 4th, 292277026596, 11:30 amIs 9223372036854775807 some kind of power?

- October 4th, 2019, 1:13 am
- Forum: The Sandbox
- Topic: Testing Grounds
- Replies:
**259** - Views:
**75472**

### Re: Testing Grounds

x = 5, y = 5, rule = B/S012345678 5o$2bo$2bo$2bo$2bo! [[ RLE e 5o$o$5o$o$5o! ]] [[ RLE s 5o$o$5o$4bo$5o! ]] [[ PASTEMODE COPY ]] [[ PASTET 1 ]] [[ PASTE e 0 0 ]] [[ PASTET 2 ]] [[ PASTE s 0 0 ]] [[ LOOP 3 ]] [[ AUTOSTART ]] [[ GPS 2 ]] This is the longest necropost on the forums. This is the shorte...

- October 4th, 2019, 1:11 am
- Forum: The Sandbox
- Topic: Testing Grounds
- Replies:
**259** - Views:
**75472**

### Re: Testing Grounds

This is the longest necropost on the forums.Saka wrote: ↑December 31st, 1969, 8:00 pmCode: Select all

`x = 5, y = 5, rule = B/S012345678 5o$2bo$2bo$2bo$2bo! [[ RLE e 5o$o$5o$o$5o! ]] [[ RLE s 5o$o$5o$4bo$5o! ]] [[ PASTEMODE COPY ]] [[ PASTET 1 ]] [[ PASTE e 0 0 ]] [[ PASTET 2 ]] [[ PASTE s 0 0 ]] [[ LOOP 3 ]] [[ AUTOSTART ]] [[ GPS 2 ]]`

- October 4th, 2019, 1:08 am
- Forum: Other Cellular Automata
- Topic: Rules with interesting replicators
- Replies:
**149** - Views:
**41983**

### Re: Rules with interesting replicators

2-engine ship: x = 22, y = 92, rule = B3/S2-in3-ace4ikqz 17b3o$16bo3bo$19b2o$14bo6bo$13bo2bobobo$13bo3b2o$13b3o2$18bobo$8bo$7bo $11bo$9bobo$8bo2bo$2b5o3bo$2bo2bobo$2bobob3o$3b2o54$2b3o$2bobo$bo2b2o$ o2bo2$b2o$2bo$2bo6$2bo$2bo$b2o2$o2bo$bo2b2o$2bobo$2b3o! There's probably a slower B-based ship moving...

- October 3rd, 2019, 12:51 am
- Forum: Other Cellular Automata
- Topic: Miscellaneous Discoveries in Other Cellular Automata
- Replies:
**1471** - Views:
**293650**

### Re: Miscellaneous Discoveries in Other Cellular Automata

Infinite periodic patterns in B2a/S are Turing complete. This makes it the simplest universal rule. Here is an ANDNOT gate: x = 217, y = 155, rule = B2a/S 108bo105bo$108bo105bo$106b2o107b2o$161bo31bo$111b2o48bo31bo16b2o$110bo 101bo$110bo101bo11$108bo105bo$108bo105bo$106b2o107b2o$145bo$111b2o32bo 64b...