Search found 1966 matches

by BlinkerSpawn
June 28th, 2020, 11:22 am
Forum: Patterns
Topic: Spaceship Eaters
Replies: 208
Views: 26275

Re: Spaceship Eaters

79 -> 50: x = 37, y = 37, rule = LifeHistory 9.A$3.A6.A$3.A5.2A$5.A3.A$2.3A.A.2A$2.A.A3.A2$3.3A$5.A.2A$2A.2A3.A$3A 8.A$9.A.A$10.2A$21.2A$21.2A$16.2A4.A$13.2A.A2.A.A$16.2A.A.A$15.A3.2A$ 16.A$20.A$16.2A2.2A$12.A.3A6.A$13.2A9.A$22.3A7$4.3D.3D$4.D3.D.D8.2C$ 4.3D.D.D8.2C12.2C$6.D.D.D22.C.C$4.3D.3D24.C$35...
by BlinkerSpawn
June 13th, 2020, 4:48 pm
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 451
Views: 352759

Re: Small Spaceship Syntheses

yujh wrote:
June 12th, 2020, 9:16 pm
Absolutely accidetal, known?

Code: Select all

moving the block modifies the back
c2-0020.lif, third ship in the second column:

Code: Select all

x = 7, y = 17, rule = B3/S23
6o$o5bo$o$bo4bo$3b2o$2b3o$b5o$2ob4o$b2o4$6o$o5bo$o$bo4bo$3b2o!
by BlinkerSpawn
May 19th, 2020, 7:24 am
Forum: Patterns
Topic: Oscillator Discussion Thread
Replies: 1281
Views: 607045

Re: Oscillator Discussion Thread

A nice reduction to the second oscillator above:

Code: Select all

x = 20, y = 9, rule = B3/S23
2b2o9bo$o3bo6bobobo$o5b2o3bo4bo$o3bo2b2o3b4obo$2b2o4b3o4bobo$10b3o3bob
2o$11bob2obobo$11b2o5bo$11b2o3b2o!
by BlinkerSpawn
May 15th, 2020, 4:48 pm
Forum: The Sandbox
Topic: ConwayLife Skyscraper
Replies: 108
Views: 3495

Re: ConwayLife Skyscraper

Floor 27 contains nothing. The rooms are completely empty. There aren't even any rooms, actually, because that would require walls, and there's nothing on this floor. No ceiling. (the rest of the building continues upward approximately 100 meters off to the side) No floor, somehow: We're still debat...
by BlinkerSpawn
May 11th, 2020, 10:20 pm
Forum: Patterns
Topic: Thread For Your Useless Discoveries
Replies: 2413
Views: 984801

Re: Thread For Your Useless Discoveries

This could be a possible starting point for 6xn block arrays if not for the fact that these two gliders intersect paths: x = 15, y = 23, rule = LifeHistory 12.A$4.2A6.A.A$4.A.A5.2A$5.A.A$6.A.A$.2E4.A.A$E.E5.A.A$2.E6.A.A$10.A. A$11.2A4$11.2A$10.A.A$2.E6.A.A$E.E5.A.A$.2E4.A.A$6.A.A$5.A.A$4.A.A5. 2A$4...
by BlinkerSpawn
May 7th, 2020, 5:58 pm
Forum: The Sandbox
Topic: I need help with a Script for the Fast Growing Hierarchy.
Replies: 5
Views: 400

Re: I need help with a Script for the Fast Growing Hierarchy.

It would help if I knew which of those was the input and which was the subscript, but: You'd probably want to do something like, say, creating an iteration function thus: It(x,y,n+1) = It(f_y(x),y,n); It(x,y,0) = x And then construct the successor fgh as f_(y+1)(x) = It(x,y,x) Piggybacking: def FGH...
by BlinkerSpawn
May 7th, 2020, 5:44 pm
Forum: The Sandbox
Topic: Smallest still lifes with specific matches
Replies: 7
Views: 603

Re: Smallest still lifes with specific matches

Snake-with-feather improves xs4_126.
by BlinkerSpawn
May 7th, 2020, 5:36 pm
Forum: Patterns
Topic: Thread for your unsure discoveries
Replies: 1880
Views: 919227

Re: Thread for your unsure discoveries

Jormungant wrote:
May 7th, 2020, 8:47 am
and some unrelated block factory/glider gun & obstruction, which works in 2 directions!

Code: Select all

x = 148, y = 69, rule = LifeHistory
block-laying circuit that blocks transparent lanes in two directions
Sadly, passing a signal while the block is present causes an explosion.
by BlinkerSpawn
April 18th, 2020, 3:36 pm
Forum: The Sandbox
Topic: Smallest still lifes with specific islands
Replies: 28
Views: 3487

Re: Smallest still lifes with specific islands

If I made a DetLife variant that automatically detected forced supports, would anyone use it?
by BlinkerSpawn
April 15th, 2020, 6:11 pm
Forum: The Sandbox
Topic: Smallest still lifes with specific islands
Replies: 28
Views: 3487

Re: Smallest still lifes with specific islands

A for awesome wrote:
April 15th, 2020, 11:25 am
The first one can be made slightly smaller:

Code: Select all

x = 8, y = 7, rule = LifeHistory
6.2A$2A.2C2.A$A3.C.A$.A.C2.2A$2A.C.A$A2.C.A$2.2C.2A!
The other two are almost certainly minimal.
-4:

Code: Select all

x = 10, y = 6, rule = LifeHistory
3.2C.2A.A$2A2.C.A.2A$2A.C2.A$3.C.2A$3.C$2.2C!
by BlinkerSpawn
April 11th, 2020, 4:25 pm
Forum: Patterns
Topic: Soup-based syntheses
Replies: 158
Views: 52469

Re: Soup-based syntheses

And the next question is, how to elaborate the casings and yield the version in DRH-oscillators.rle ? I've checked the enormous components_v4.rle; it says that the bi-block can be converted into a boat on block, which can lead to a table on block, a long-bookend on block, or a cap on block (all the...
by BlinkerSpawn
April 10th, 2020, 10:58 am
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 451
Views: 352759

Re: Small Spaceship Syntheses

Shows promise for a significant reduction: x = 10, y = 10, rule = B3/S23 5bo2b2o$5b5o$5b4o$3b2o$2bo2b3o$b2obo2bo$5o$b2o5bo$bo4b2o$8bo! EDIT: Proof-of-concept work: x = 24, y = 24, rule = Life 19bo$13bo4bo$13bobo2b3o$13b2o3$15bo$15bobo3bo$15b2o4bobo$9b2o10b2o$10b o$9bo$8bo9b2o$7bo10bobo$6bob3o7bo$5bo...
by BlinkerSpawn
April 8th, 2020, 9:21 am
Forum: Patterns
Topic: Spaceship Discussion Thread
Replies: 1082
Views: 563406

Re: Spaceship Discussion Thread

Is it possible to make a 2c/6o spaceship using the following frontend? x = 22, y = 9, rule = B3/S23 3bo14bo$2bobo12bobo$bo3bo10bo3bo$2b3o12b3o2$bo3b2o9bo3b2o$2o3bo9b2o3b 2o$2o4b3o5bo$o7bo! I would be inclined to answer "no". The rest of the ship would have to stay directly behind the HF predecessor...
by BlinkerSpawn
April 6th, 2020, 10:08 pm
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 451
Views: 352759

Re: Small Spaceship Syntheses

I suspect that further developments will unfold if a 4g equivalent to the upper activation of the loaf-bend-tail area is found, Such that it doesn't plume out so far towards the sufficiently-long boat fuses. If we can get more clearance there, my suggestion from the Discord that we insert two domin...
by BlinkerSpawn
April 4th, 2020, 3:51 pm
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 451
Views: 352759

Re: Small Spaceship Syntheses

Possible cheaper eater activation?

Code: Select all

x = 13, y = 16, rule = B3/S23
8bo$o3b2obobo$o4bobo2bo$b2o2bo2b2o$2o4b2o$o7b2o$3b2o3bo$4bo4b3o$bo2bob
o5bo$2bo2b2o4bo$b2o7bo$9bo$8bo$7bo$6bo$5bo!
by BlinkerSpawn
April 2nd, 2020, 9:57 am
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 451
Views: 352759

Re: Small Spaceship Syntheses

Some trivial touch-ups: x = 76, y = 76, rule = B3/S23 60bo$60bobo$60b2o3$39bo$38bo$38b3o3$36bo$36bobo5bo$36b2o5bo$16bo26b3o 28bo$17b2o54bo$16b2o30bo24b3o$27bo19bo$25b2o20b3o$26b2o$6bo14bo$7bo11b obo$5b3o12b2o$38b2o$37bobo$2bobo31bobo3b2o$3b2o30bobo4b2o5bobo$3bo13b 2o15bobo12b2o7bo$10bo5bo2bo13bobo14...
by BlinkerSpawn
March 24th, 2020, 11:49 am
Forum: The Sandbox
Topic: Game Of Life Comics
Replies: 77
Views: 22796

Re: Game Of Life Comics

x = 48, y = 101, rule = B3/S23 4b2o$4bo2bo$4bo3bo$6b3o$2b2o6b4o$2bob2o4b4o$bo4bo6b3o$2b4o4b2o3bo$o9b 2o$bo3bo$6b3o2b2o2bo$2b2o7bo4bo$13bob2o$10b2o6bo$11b2ob3obo$10b2o3bo2b o$10bobo2b2o$10bo2bobobo$10b3o6bo$11bobobo3bo$14b2obobo$11bo6b3o2$11bo 9bo$11bo3bo6bo$12bo5b5o$12b3o$16b2o$13b3o2bo$11bob3obo$1...
by BlinkerSpawn
March 24th, 2020, 11:39 am
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 451
Views: 352759

Re: Small Spaceship Syntheses

A workable replacement for the canoe-activation potentially buildable from a snake:

Code: Select all

x = 11, y = 17, rule = B3/S23
bobo$2bo2$b2o$2b3o$5b3o3$4b2ob2o$b2o2b2obo$obo$2bo2$8bobo$7bob2o$7bo$
6b2o!
by BlinkerSpawn
March 22nd, 2020, 10:17 am
Forum: Patterns
Topic: Small Spaceship Syntheses
Replies: 451
Views: 352759

Re: Small Spaceship Syntheses

Final step for 56P6H1V0! Over on the Discord, Kazyan found the key step of "activating" the pythons and with a bit of help with the cleanup from others I was able to put together this final step: rle The base still-life is pretty huge but I suspect its synthesis should be fairly easy in comparison ...
by BlinkerSpawn
March 8th, 2020, 9:55 am
Forum: Patterns
Topic: Synthesising Oscillators
Replies: 1046
Views: 780468

Re: Synthesising Oscillators

R2D2 in 86 gliders (If I counted correctly): ... Very nice! Cleanup in key step can be reduced by two: rle That long canoe looked unnecessary, and it is: x = 51, y = 51, rule = B3/S23 2bo$obo$b2o7$19bo$20b2o$19b2o3$15bobo$16b2o$16bo5bo$23b2o17bo$22b2o16b 2o$41b2o$15bobo$16b2o$16bo4$31b2o$31bobo$33b...
by BlinkerSpawn
March 6th, 2020, 4:28 pm
Forum: The Sandbox
Topic: Challenges
Replies: 280
Views: 78297

Re: Challenges

Moosey wrote:
March 6th, 2020, 9:37 am
Challenge: come up with a sequence like Gijswijt's sequence with
1) an even harder name to spell and pronounce
2) a slower growth rate
Just give the inverse Ackermann sequence some silly name.
by BlinkerSpawn
March 6th, 2020, 4:26 pm
Forum: The Sandbox
Topic: Thread for Non-CA Academic Questions
Replies: 329
Views: 93524

Re: Thread for Non-CA Academic Questions

It looks like a "model" is essentially a set large enough that logical axioms and formulae can be interpreted and manipulated as subsets of said set.
Someone better-trained in set theory than myself will have to refine that.
by BlinkerSpawn
February 28th, 2020, 11:57 pm
Forum: The Sandbox
Topic: Thread for Non-CA Academic Questions
Replies: 329
Views: 93524

Re: Thread for Non-CA Academic Questions

The base of natural logarithm e has many characteristics/defnitions, e.g. e₁=lim(x→∞)(1+1/x)^x e₂=∑(n=0 to ∞)(1/n!) e₃ is the unique solution x for ∫(t=1 to x)(1/t)dt = 1 e₄ is the unique number a such that f(x)=a^x is equal to its own derivative and has unit tangent slope at (0,f(0)) How to prove ...
by BlinkerSpawn
February 28th, 2020, 11:31 pm
Forum: The Sandbox
Topic: Ordinals in googology
Replies: 186
Views: 20296

Re: Infinities in googology

But can anyone give me a simple understanding of Mahlos like this? All I need is a better understanding of clubsets Specifically, the part with the "closed" part Not the unbounded part According to the Wikipedia definition, club sets can be thought of as being indexable by ordinals: In fact a club ...
by BlinkerSpawn
February 23rd, 2020, 2:51 pm
Forum: Patterns
Topic: POTY 2019 Voting
Replies: 47
Views: 7824

Re: POTY 2019 Voting

(vote) Not entirely sure, but this one might also be invalid since the numbers need to have two digits (i.e. #01 instead of #1) I get the need for consistency, but unless you have some sort of script that's pulling the contents of these posts and tallying I don't see what difference it would make.