Search found 103 matches

by Dean Hickerson
October 1st, 2023, 3:28 am
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46987

Re: (Engineered) diehards

... Also, what ideas could we have for the smaller diehards (16x16, 32x32, 50x50, 75x75, etc)? Here's a stamp collection of my best diehards for most square sizes up to 31x31. Maybe someone will find it useful, either for some of the components or just as a goal to beat. I had some larger ones in t...
by Dean Hickerson
September 15th, 2023, 9:04 pm
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46987

Re: (Engineered) diehards

After the above showed up the following with a lifetime of 1120271 appeared (not much of an improvement :-)): This is amazing! It sure beats my best 32x32 diehard (31133 gens). I'm glad to see that someone's working on smaller diehards. (And that I didn't waste time trying to optimize my "gun clear...
by Dean Hickerson
August 12th, 2023, 1:32 pm
Forum: Patterns
Topic: Oscillator Discussion Thread
Replies: 4447
Views: 1670344

Re: Oscillator Discussion Thread

24-cell p3 found by C_R_116, described as being discovered a few years ago in a WLS search, and posted on discord today; is that new?: x = 11, y = 10, rule = B3/S23 o$3o$3bo$2b2o2$4b2ob2o$4bob2obo$5bo2bo$3bobo2bobo$3b2o4b2o! With a slightly smaller stator, it was found by Nicolay Beluchenko about 2...
by Dean Hickerson
May 29th, 2023, 12:33 am
Forum: Patterns
Topic: Oscillator Discussion Thread
Replies: 4447
Views: 1670344

Re: Oscillator Discussion Thread

This p21 oscillator showed up in a long-running drifter search. It has a p7 part in the southwest and a p3 part in the northwest, with 1 cell between them that's alive in 20 out of 21 generations. This may set a new record for bounding box area, 12*16 = 192. But I don't have a complete collection of...
by Dean Hickerson
February 6th, 2023, 10:48 am
Forum: Other Cellular Automata
Topic: Larger than Life
Replies: 543
Views: 288148

Re: Larger than Life

I just ran across this post from last June: Updated summary of my old rule, discovered in 2001, which I call SpaceColony (R3,C0,M1,S14..26,B8..9,NM): ... BTW, this naturally occurring thing seems unbreakable and serves as a universal eater: x = 22, y = 26, rule = R3,C0,M1,S14..26,B8..9,NM 9$8bo6bo2$...
by Dean Hickerson
October 9th, 2022, 11:44 am
Forum: Patterns
Topic: Irrational slope pseudo spaceships
Replies: 31
Views: 2251

Re: Irrational slope pseudo spaceships

In particular, this pattern produces a glider stream with density (3 - sqrt(5))/2 relative to a complete p120 glider stream: We can combine that with the small Corderman boat puffer that Dave Greene mentioned to get a smaller irrational slope pattern. Sadly, the slope isn't as simple as phi; it's 1...
by Dean Hickerson
October 8th, 2022, 1:35 pm
Forum: Patterns
Topic: Irrational slope pseudo spaceships
Replies: 31
Views: 2251

Re: Irrational slope pseudo spaceships

I wonder whether it is even possible to have a constant bit stream with an irrational density of each bit It is! I built some smaller irrational density patterns back in the 1990s, using *WSS puffers instead of Corderships; they can be found at https://conwaylife.com/ref/DRH/irrat.lin.html . In par...
by Dean Hickerson
April 12th, 2022, 9:56 am
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46987

Re: Tetration achieved!

Pavgran wrote:
April 11th, 2022, 9:21 am
Well, it's time to step up to the next function in the fast-growing hierarchy: tetration.
Wow! I hadn't expected something like this to fit in area 10000. Nice work!

And once again lots of work done on optimizing a pattern becomes obsolete because of a new idea. That happens a lot.
by Dean Hickerson
April 11th, 2022, 5:22 am
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46987

Re: (Engineered) diehards

Hmm. It looks like I posted the wrong version, without the last optimization I described. and And including your last modifications (edit: and bounding box reduction): That lasts 1.08767e1466 gens. But it turns out that, after each quadri-Snark is deleted, there's room for a short crystallization a...
by Dean Hickerson
April 10th, 2022, 9:20 am
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46987

Re: (Engineered) diehards

And that allows to push the bounding box in the other direction by moving the last quadri-Snark 1fd away and opening up space for more efficient glider-eating reactions. Additionally, I was able to postpone self-destruction-launching glider and fit more SLs here. Totail improvement is 69 more eatin...
by Dean Hickerson
April 9th, 2022, 8:07 pm
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46987

Re: (Engineered) diehards

The right side can be tucked in by 1 cell: Or even by 4 cells: x = 95, y = 101, rule = B3/S23 17b3o12b2o2bo32bo7b3o2b4o$17bo2bo10bob4o31bobo5bo3bo$17bo2bo10bo36bo2b o4bo$21bo7b2ob7o30b2o6b3obo$19bobo5bo2bobo6bo$20b2o5b2o3bob2o2b2o32b2o $18b3o10b2ob2o7b2o4bo21bo2bo4bobo2bo3bobo2bo$18b2o24bo3bobo8b2o...
by Dean Hickerson
April 9th, 2022, 10:44 am
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46987

Re: (Engineered) diehards

Thanks to Dean Hickerson and toroidalet, I was able to squeeze quite a few more lifetime multipliers. Behold, 99*101 diehard with an epic 1.69527e1043 lifetime. Neat! That snake that consumes 3 gliders and leaves behind a block that's needed later is impressive. You can fit one more block among the...
by Dean Hickerson
April 7th, 2022, 8:17 pm
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46987

Re: (Engineered) diehards

Concerning 32x32 diehards, However, in the meantime Dean has found a way to get several thousand ticks past the five-digit mark, using a c/3 target instead of a 2c/5 one -- see below. 14,011+ is the new target! Later, NewLifeCA 7 March 2022: Re: Better 32x32 diehard Intermediate c/3 spaceships! Ther...
by Dean Hickerson
April 7th, 2022, 8:08 pm
Forum: Patterns
Topic: (Engineered) diehards
Replies: 315
Views: 46987

Re: (Engineered) diehards

Exponential-linear filter design is finished. That was not easy. Very nice! A few years ago I spent some time building similar patterns. But I was using a caber tosser with expansion factor 2, and the best I came up with was about 3*10^223 gens in a 123x123 pattern. Having an expansion factor of 12...
by Dean Hickerson
December 7th, 2021, 12:44 pm
Forum: Other Cellular Automata
Topic: Larger than Life
Replies: 543
Views: 288148

Re: Larger than Life

Here's a very delayed explosion in a similar rule (starts exploding at 3.1 million gens). What a strange rule! Here's a smaller pattern that takes even longer to explode: x = 64, y = 64, rule = R6,C0,M1,S46..93,B21..25,NM 5bo2bo3bo6b5o8b2obob2o3bo4bobo2bo5bo3bo$b3o8bobo6bo6bo4bob2o6b5o4bo2b 2o2b2o$...
by Dean Hickerson
November 19th, 2021, 4:13 pm
Forum: LifeWiki Discussion
Topic: LifeWiki Trusted Account Request Thread - Post requests here
Replies: 791
Views: 288854

Re: LifeWiki Trusted Account Request Thread - Post requests here

May I be trusted, please? My username is "Dean Hickerson".
by Dean Hickerson
May 7th, 2019, 4:40 pm
Forum: Patterns
Topic: Close-passing p60 MWSS streams
Replies: 1
Views: 9151

Re: Close-passing p60 MWSS streams

It's well known (and I think due to Dean Hickerson) that p120 MWSS streams can pass close in opposite directions so that the bits can be inverted and turned back by eaters at both ends in a recirculating loop. I just noticed this post from a few weeks ago. I don't remember seeing that p120 loop bef...
by Dean Hickerson
March 9th, 2019, 6:38 pm
Forum: Patterns
Topic: Mountain range patterns
Replies: 13
Views: 13318

Re: Mountain range patterns

In christoph r.'s wallstreet patterns, it appears that most (but not quite all) of the gliders from the northernmost glider rakes survive to reach the LWSS line. There they delete almost half of the LWSSs. So I wondered if we could get the same effect by eliminating those 2 rakes and replacing the p...
by Dean Hickerson
March 8th, 2019, 9:24 am
Forum: Patterns
Topic: Mountain range patterns
Replies: 13
Views: 13318

Re: Mountain range patterns

Is it possible to arrange the rakes to have there be more than one kickback reaction (i.e. so that the kickbacked gliders from NW create another kickback glider at the "13N" collision)? It can be done, but I don't know if any interesting patterns can be built that way. Here's one that I looked at a...
by Dean Hickerson
March 8th, 2019, 9:13 am
Forum: Patterns
Topic: Mountain range patterns
Replies: 13
Views: 13318

Re: Mountain range patterns

Here's one that looks like it works. Does it generate a sequence with its output gliders? With a few assumptions and a messy calculation, it should be possible to determine the slopes of the glider lines, the densities of LWSSs that get past W and E, and the speed at which the collision point C mov...
by Dean Hickerson
March 8th, 2019, 8:44 am
Forum: Patterns
Topic: Mountain range patterns
Replies: 13
Views: 13318

Re: Mountain range patterns

At that post i added a north moving rake on each side. christoph r.: The first pattern in your post in this thread is broken, but the one in your 2016 post works fine. (P.S.: The problem is a couple of spaces in the middle of a line in the RLE. Curiously, the forum's pattern viewer can read it, but...
by Dean Hickerson
March 7th, 2019, 6:59 pm
Forum: Patterns
Topic: Mountain range patterns
Replies: 13
Views: 13318

Mountain range patterns

While experimenting with variations of my old "jagged lines" pattern from 2005 http://conwaylife.com/wiki/Jagged_lines , I found some patterns that grow mountain ranges. Most of these are what I call "witch's hat" patterns because of their general shape. They consist of 2 LWSS rakes moving east and ...
by Dean Hickerson
June 16th, 2018, 9:18 am
Forum: General Discussion
Topic: Life Lexicon update -- now Release 29, 2 July 2018
Replies: 167
Views: 111983

Re: Life Lexicon update -- now Release 29, 2 June 2018

:trivial: Maybe it should be mentioned that there are nontrivial examples of trivial oscillators, There are also trivial examples of nontrivial oscillators, in which 2 oscillators don't interact, but their rotors overlap, so that the periods of cells in the overlap are larger than the periods of th...
by Dean Hickerson
June 14th, 2018, 4:32 am
Forum: General Discussion
Topic: Life Lexicon update -- now Release 29, 2 July 2018
Replies: 167
Views: 111983

Re: Life Lexicon update -- now Release 29, 2 June 2018

Most of the patterns shown have dots added to the ends of their lines to make all lines the same length. But there are 4 exceptions: :anvil: :cis-beacon on anvil: :LWSS: :sesquihat: [/b] A few more comments: :Fast Forward Force Field: In last paragraph, there should be a space after "Forward.". :osc...
by Dean Hickerson
July 23rd, 2017, 1:04 am
Forum: Other Cellular Automata
Topic: Larger than Life
Replies: 543
Views: 288148

Re: Larger than Life

Here's a strange phenomenon that occurs in some LtL rules: "temporary spaceships". The object below moves steadily to the southeast for 2572 generations, and then suddenly stops: #C Moves southeast with speed about 0.08 until generation 2572, when #C it becomes a p2 oscillator. x = 50, y = 50, rule ...