## Larger than Life

For discussion of other cellular automata.
calcyman
Moderator
Posts: 2936
Joined: June 1st, 2009, 4:32 pm

### Re: Larger than Life

How is the convolution step implemented? If the neighbourhood is a n-by-n square, you can first perform a convolution by a 1-by-n rectangle, followed by a convolution by a n-by-1 rectangle. So you only have to do ~ 2n additions instead of ~ n^2 additions per cell.

Also, if n is composite, you can get a further speedup. For example, if n = 15, you can replace the convolution by:

Code: Select all

``***************``
with two successive convolutions by each of:

Code: Select all

``*****``

Code: Select all

``*....*....*``
For large neighbourhoods which don't easily 'factorise' in this manner, such as a circular neighbourhood, then an FFT (over F_p for large p) is probably the way to go.
What do you do with ill crystallographers? Take them to the mono-clinic!

Andrew
Moderator
Posts: 926
Joined: June 2nd, 2009, 2:08 am
Location: Melbourne, Australia
Contact:

### Re: Larger than Life

calcyman wrote:How is the convolution step implemented?

(That's assuming I can figure out what you mean by "convolution step". Do you mean the calculation of a cell's neighborhood count?)
Use Glu to explore CA rules on non-periodic tilings: DominoLife and HatLife

blah
Posts: 311
Joined: April 9th, 2016, 7:22 pm

### Re: Larger than Life

This rule generates tree rings, though they get kind of octahedral as the tree grows:

Code: Select all

``````x = 24, y = 24, rule = R9,C0,M1,S30..180,B24..45,NN
2b4ob2o3b2obo\$3b2o5bobo3bob3ob2o\$b7o3bob2ob3ob4o\$5b4obob2obobo2bo2bo\$
2bob2o2bo2b3o2bobobo2bo\$3b2obo3b2o2bob4ob3o\$3o3b4ob2ob2o4b4o\$b3o4b4o2b
ob2obo2b2o\$bo4bo2b2o2bobobob3o\$bo4b2ob2o3bo5bobo\$obobo2b2o3bo2b3ob5o\$b
5o2bobob2o4b2obobo\$5b2obo3b3o2bo2b2obo\$ob2o2b3ob2o2bo4b2obo\$3o2b2ob3ob
2o4b4obo\$5bobobo2bo2b3ob2o\$b4o5bo2b3o3bobo\$bob2o3bo2bob5obo3bo\$bobob2o
3b2o2b4obobo\$3b5ob4ob4obo3bo\$3b2ob6o2bobo3bobo\$bobo2bob2o2bo2bob2obo2b
o\$b2o3bob4o2bob3obo2bo\$2o2b2ob3o2bobobobo3bo!
``````
succ

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

### Re: Larger than Life

Rule R3,C2,M1,S7..19,B12..23,NN supports a rich set of oscillators. An archive containing a collection of these oscillators is here:

http://bprentice.webenet.net/Larger%20T ... 20Life.zip

They are in file ../Version 1/Patterns/Rule 053.

Brian Prentice
Last edited by bprentice on July 1st, 2020, 9:13 pm, edited 5 times in total.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

### Re: Larger than Life

Rule R4,C4,M1,S34..35,B7..19,NN

3c/2 diagonal ships

Code: Select all

``````x = 105, y = 67, rule = R4,C4,M1,S34..35,B7..19,NN
30.C\$30.CB\$30.C2B\$30.2CBA\$30.2CBA\$31.CBA\$31.CB2A\$31.CB2A\$30.2C2BA\$30.
2C2BA\$30.2C2BA\$31.CB2A\$31.CB2A\$31.CB2A\$30.2C2BA\$30.2C2BA\$30.2C2BA\$31.
CB2A\$31.CB2A\$31.CB2A\$30.2C2BA\$30.2C2BA\$30.2C2BA\$30.2CB2A\$30.C2B2A\$29.
2C2B2A\$29.2C2B2A\$29.2C2BA\$30.CB2A\$30.CB2A\$30.CB2A\$29.2C2BA\$29.2C2BA
\$29.2C2BA\$29.2CB2A\$29.C2B2A66.C\$28.2C2B2A66.2C\$28.2C2B2A65.2C2B\$28.
2C2BA65.3C2BA\$28.2CB2A65.2C3B2A\$27.2C2B2A64.3C2B2A\$27.2C2B2A63.3C2B
3A\$26.2C3B2A62.3C3B2A\$25.3C2B2A61.4C3B3A\$25.2C3B2A60.4C3B3A\$24.3C2B
2A59.4C4B3A\$24.2C2B3A57.4C4B4A\$23.2C3B2A57.4C4B4A\$22.3C2B3A54.5C4B4A
\$22.2C3B2A56.2C4B4A\$21.3C2B2A58.4B4A\$21.2C2B3A59.5A\$20.2C3B2A61.2A\$
19.3C2B3A\$19.2C3B2A\$18.3C2B2A\$18.2C2B3A\$17.2C3B2A\$16.3C2B3A\$14.4C3B
2A\$12.4C4B2A\$7.8C4B3A\$11C6B4A\$.2B3C9B4A\$2.8B8A\$3.11A\$6.3A!
``````
6,5c/4 knight ships

Code: Select all

``````x = 76, y = 17, rule = R4,C4,M1,S34..35,B7..19,NN
11.C4.C50.C\$12.B3.CBA47.2C\$11.2CA.2C2BA46.2CB\$11.2CB.2C2BA44.3C2BA\$
10.2C2B.2C2BA42.4C3B2A\$8.4C2BAC2B2A26.4C3.2C3.7C3B2A\$2C3.5C3B2A.CB2A
26.2B13C6B3A2.2C\$.7C4B3A2.BA28.18B4A3.2CB\$2.9B3A2.2CA29.5A2B3A2B7A4.
2C2B\$3.2A2B6A3.2CB32.13A5.4C2BA\$4.7A4.2C2B48.4C3B2A\$13.4C2BA38.2C3.
7C3B3A\$5.2C3.5C3B2A39.7C6B3A\$6.7C4B3A40.10B4A\$7.9B3A42.2A2B7A\$8.2A2B
6A44.7A\$9.7A!
``````
2,3c/2 knight ships

Code: Select all

``````x = 49, y = 14, rule = R4,C4,M1,S34..35,B7..19,NN
2.C\$2.2C\$3.CBA38.C\$3.CB2A37.CB\$3.C2BA38.CBA\$3.C2BA38.CBA\$3.2CBA37.2C
2BA\$3.2CBA37.2C2BA\$3.C2B2A36.2CB2A\$2.2C2B2A35.2C2B2A\$.3C2BA35.2C3B2A
\$3C2B2A37.2B2A\$.3B3A38.2A\$2.B3A!
``````
Gun that shoots 3,2c/2 knight ships

Code: Select all

``````x = 18, y = 20, rule = R4,C4,M1,S34..35,B7..19,NN
.2A\$3A2BA\$.3B2C3B2A\$.2B3C2.2CA3.C\$.2A2C2.ACA2B.2A\$.CAB2.A.C.2BA2C2B
\$2C.B2.A2.B2C2AC2B\$3.2B2A3.C2A2.CB\$3.A2CA.3C2B2.2C\$2.2A2CB.2C3BA.2C
\$3.A3B.2C2B2A.CB\$3.A3BA3B3A2.B\$5.ACA.B3A2.CBA\$5.2CA2.A3.2CBA\$5.A.A5.
3C2B\$5.2B8C2BA\$6.2B3C5B2A\$6.2A7B3A\$9.8A\$11.3A!
``````
Brian Prentice

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

### Re: Larger than Life

bprentice wrote:Rule R3,C2,M1,S7..19,B12..23,NN supports a rich set of oscillators.
...
Oscillators with periods 2 thru 26 have now been found.
Here are some more; the first missing period is now 45. (Although it's not listed in your post, your collection includes a p44 oscillator.)

Code: Select all

``````x = 203, y = 92, rule = R3,C0,M1,S7..19,B12..23,NN
3o2b3o10b18o39b2o46b3o2b3o2b3o2bobo10b30o\$2bo4bo10b19o38b4o46bo4bo4bo
2bobo10b14ob2ob2o2b10o\$3o4bo10b7o2b6ob3o38b5o43b3o2b3o4bo2b3o11b32o\$o
6bo10b20o19b3o2b3o10b6o42bo4bo6bo4bo11b5o2b26o\$3o4bo10b20o19bo6bo10bob
5o41b3o2b3o4bo4bo12b15ob2o2b13o\$57b3o2b3o10b8o71b31o\$59bo2bo12b9o\$57b
3o2b3o10b10o\$75b11o\$75b12o\$3o2b3o11b19o37b12o\$2bo2bobo10b22o83b3o2b3o
2bobo2b3o10b31o\$3o2bobo10b12ob7ob3o83bo2bobo2bobo2bobo10b2o2b17ob11o\$
2bo2bobo10b24o81b3o2b3o2b3o2b3o10bo2b23ob7o\$3o2b3o10b24o81bo4bobo4bo4b
o10bo2b23ob8o\$123b3o2b3o4bo2b3o10b2o2b17ob14o\$57b3o2b3o11b18o57b35o\$
57bo4bo12b21o\$57b3o2b3o10b3ob19o\$59bo2bobo10b23o\$2b3o2bo11b20o18b3o2b
3o10b23o\$4bo2bo10b4o2b16o\$2b3o2bo10b4o2b16o83b3o2b3o2b3o2b3o10b30o\$4bo
2bo10b4o2b16o83bo6bo2bobo2bobo10b32o\$2b3o2bo10b22o83b3o2b3o2b3o2b3o10b
5o2b26o\$125bo4bo4bo4bo10b5o2b27o\$57b3o2b3o11b17o30b3o2b3o2b3o2b3o10b
31ob3o\$57bo6bo10b20o56b34o\$57b3o2b3o10b22o\$57bobo2bo12b22o\$19b5o33b3o
2b3o10b22o\$3o2b3o11b7o\$2bo2bobo10b10o\$3o2b3o10b12o88b3o2b3o2b3o2b3o2b
3o12b45o\$2bo2bobo10b14o88bo2bobo2bobo4bo2bo13b40o2b6o\$3o2b3o10b13o87b
3o2b3o2bobo2b3o2b3o10b40o3b8o\$18b13o26b3o2b3o11b19o25bo4bo2bobo2bo6bo
10b41ob9o\$57bo4bobo10b5o2b15o21b3o2b3o2b3o2b3o2b3o10b51o\$57b3o2b3o10b
24o\$57bobo2bobo10b5o2b17o\$57b3o2b3o10b24o2\$3o2b3o11b19o\$2bo2bobo10b21o
76b3o2b3o2b3o2b3o2b3o2bo12b45o\$3o2b3o10b21o76bo4bo4bobo2bo6bo2bo11b22o
b8ob16o\$2bo4bo10b20o77b3o2b3o2b3o2b3o2b3o2bo10b43o2b5o\$3o2b3o10b20o19b
3o2b3o12b18o22bo2bobo2bobo4bo2bo4bo10b43ob7o\$59bo4bo11b19o20b3o2b3o2b
3o2b3o2b3o2bo10b23ob8ob19o\$59bo2b3o10b2o2b7ob8o56b51o\$59bo4bo10b21o\$
59bo2b3o11b19o2\$2bobo2bo10b12o\$2bobo2bo10b14o\$2b3o2bo10b15o\$4bo2bo10b
8ob7o\$4bo2bo10b8o2b3ob3o43b2o\$18b16o42b5o\$59b3o2bo11b6o\$59bobo2bo10b2o
b5o\$59b3o2bo10bob7o\$59bobo2bo10b10o\$59b3o2bo10b11o\$obo2b3o10b16o41b12o
\$obo4bo10b2o7b9o39b13o\$3o2b3o10bo9b10o37b12o\$2bo4bo10bo9b10o\$2bo2b3o
10b2o7b11o\$18b20o3\$57b3o2b3o12b19o\$57bobo2bobo11b22o\$57b3o2b3o10b20ob
4o\$obo2b3o11b19o19bobo4bo10b21ob3o\$obo4bo11b19o19b3o2b3o10b25o\$3o4bo
10b20o\$2bo4bo10b21o\$2bo4bo11b19o3\$75b12o\$75b2ob9o\$75bob4ob5o\$57b3o2b3o
10b6o2b4o\$57bobo2bobo10b6o2b4o\$57b3o2b3o10b12o\$59bo2bobo10b12o\$57b3o2b
3o10b12o\$75b5o2b5o\$75b5o3b4o\$75b12o!
``````
As the last column shows, you can get many large periods by starting with a 5xN or 6xN rectangle and modifying the ends in various ways.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

### Re: Larger than Life

Dean Hickerson wrote:Although it's not listed in your post, your collection includes a p44 oscillator.
A few more oscillators were found and the archive was updated but alas the forum post was not. The archive does contain a file 'periods' which is current.

Thank you for contributing to the oscillator collection.

The oscillators were found using the program here:

http://bprentice.webenet.net/Larger%20T ... 20Life.zip

This archive contains two versions of the program. Each version includes the Java source code together with patterns organized into rules which can be run. The programs support five neighborhoods (SQUARE, CROSS, SALTIRE, STAR and DIAMOND) which were briefly discussed here:

viewtopic.php?f=7&t=2932#p45697

Rule 53, which you contributed to, is a modification of rule 44 which used the STAR neighborhood. Both rules generate a large assortment of oscillators.

The oscillator collection has been updated to include your contribution.

Brian Prentice

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

### Re: Larger than Life

Dean Hickerson wrote:
I wrote:Can anyone find anything slower? Or maybe a slow knightship?
Here's the slowest yet, an orthogonal spaceship with range 43:

Code: Select all

``:ooo``
How are you finding these?

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

### Re: Larger than Life

drc wrote:How are you finding these?
I don't remember how I found the first one, back in 2002. For the others, I've just made minor changes to that rule (including rescaling as I mentioned here), and then tried random stuff. Most stuff either dies out or turns into an oscillator, but occasionally slow spaceships arise.

Saka
Posts: 3627
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: Larger than Life

Dean Hickerson wrote:
drc wrote:How are you finding these?
I don't remember how I found the first one, back in 2002. For the others, I've just made minor changes to that rule (including rescaling as I mentioned here), and then tried random stuff. Most stuff either dies out or turns into an oscillator, but occasionally slow spaceships arise.
Either way, you are a great guy I got bored watching those spaceships move, especially the really slow ones. Wish golly would run faster at 10^2 and so on, but I know it is hard for Andrew.

Anyways, what script should I make next? My next project is to make a small script to... well, it's a secret!

Also, I have also been making a little collection of patterns I found in LTL hehe

muzik
Posts: 5646
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Larger than Life

Why does it run so slow anyway? Can't you make larger than life run on hashlife instead somehow?

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

### Re: Larger than Life

Awesome spaceships in this rule, a 3c/4, a c/2, a P3 knightship, and a 2c/4 diagonal:

Code: Select all

``````x = 44, y = 7, rule = R2,C5,M0,S2..2,B3..4,NN
3.2A10.2A8.5A7.A2B3A\$3A2B3A6.A2BA6.BC4BA6.A3C2BA\$B6CB6.C2.C6.C4DBA7.A
2.2BA\$B6DA21.2B9.B.CA\$CD4.B22.BA11.CB\$41.ACB\$29.D12.2A!
``````
This variant has a 12c/56 (3c/14), and c/2, p3 knightship and the 2c/4 diagonal from the other rule, along with a p12 spinning oscillator.

Code: Select all

``````x = 78, y = 7, rule = R2,C4,M0,S2..2,B3..4,NN
15.2A17.4A15.5A13.A2B3A\$.AB2A9.A2BA16.BACA14.BC4BA12.A3C2BA\$BCBCA9.C
2.C17.2CA14.5CBA13.A2.2BA\$C3.A31.BA19.2B15.B.CA\$3.BA52.BA17.CB\$75.ACB
\$57.C18.2A!
``````
EDIT, a rule with a common 4c/6 and a 5c/14 diagonal:

Code: Select all

``````x = 25, y = 11, rule = R2,C6,M0,S3..4,B3..4,NN
.3A14.C2D\$A3BA13.D2EC\$A3BA13.D3EDA\$EB.BE14.2ECB2A\$.A.A15.DA3BA\$20.2AB
``````

EDIT 2, a better variant of the 1st rule, with an extra 4c/5:

Code: Select all

``````x = 67, y = 9, rule = R2,C5,M0,S2..2,B3..5,NN
9.3A13.2A11.2A8.5A7.A2B3A\$5.4A4B3A6.3A2B3A7.A2BA6.BC4BA6.A3C2BA\$2.3AB
7.D2C5.B4.DC22.BA4.D5.DCB\$2CD.D11.CB46.ACB\$BC50.D12.2A2\$62.2D!
``````
Last edited by AforAmpere on July 22nd, 2020, 10:57 am, edited 1 time in total.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

### Re: Larger than Life

Oscillators with periods 2 thru 66 have now been found using rule R3,C2,M1,S7..19,B12..23,NN. The archive referenced here:

viewtopic.php?f=11&t=2933&start=75#p46105

has been updated.

Brian Prentice

Ethanagor
Posts: 80
Joined: March 15th, 2017, 7:34 pm
Location: the Milky Way galaxy

### Re: Larger than Life

This may or may not be known (I'm not sure where to look) but here is a one-time 90 degree reflector of a diagonal bug in the same rule as Bosco:

Code: Select all

``````x = -10, y = -20, rule = R5,C0,M1,S34..58,B34..45,NM
4b3o\$3b7o\$2bo2b6o\$bo4b5o\$2o5b4o\$b2o4b4o\$b4ob5o\$b9o\$2b7o\$3b5o\$4b3o22\$
15b5o\$14b7o\$13b8o\$13b4o2b2o\$13b3o3b2o\$13b4ob3o\$14b6o\$15b4o!
``````
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter

Saka
Posts: 3627
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: Larger than Life

This is literally just hilarious
Bug: WINGS; EXTEND!
Computer: Wing extension failed; still life ahead
Bug: Noooo
boom

Code: Select all

``````x = 90, y = 43, rule = R5,C0,M1,S34..58,B34..45,NM
83b3o\$82b5o\$30b2o13b2o13b2o19b7o\$28b6o9b6o9b6o16b4ob4o\$27b8o7b8o7b8o
14b4o3b4o\$26b5o2b3o5b5o2b3o5b5o2b3o13b3o5b3o\$26b2o2bo3b2o5b2o2bo3b2o5b
2o2bo3b2o13b3o5b3o\$26b2o3b2ob2o5b2o3b2ob2o5b2o3b2ob2o13b4o3b4o\$26b3ob
6o5b3ob6o5b3ob6o14b4ob4o\$27b8o7b8o7b8o16b7o\$29b4o11b4o11b4o19b5o\$30b2o
13b2o13b2o21b3o6\$4b3o\$3b6o\$2b9o\$b2o3b6o\$bo5b5o\$2o6b4o\$bo5b5o\$b2o3b6o\$
2b9o\$3b6o\$4b3o6\$30b2o13b2o13b2o\$29b4o11b4o11b4o\$27b8o7b8o7b8o\$26b3ob6o
5b3ob6o5b3ob6o\$26b2o3b2ob2o5b2o3b2ob2o5b2o3b2ob2o\$26b2o2bo3b2o5b2o2bo
3b2o5b2o2bo3b2o\$26b5o2b3o5b5o2b3o5b5o2b3o\$27b8o7b8o7b8o\$28b6o9b6o9b6o\$
30b2o13b2o13b2o!
``````
Also, who can find the first bug in Bugs Range 50? (Convert using my script/Dean Hickerson's algorithm)

Dean Hickerson
Posts: 103
Joined: December 19th, 2015, 1:15 pm

### Re: Larger than Life

Saka wrote:Also, who can find the first bug in Bugs Range 50? (Convert using my script/Dean Hickerson's algorithm)
Here's one:

Code: Select all

``````#C Symmetric spaceship that moves southeast with speed 3000/929 ~ 3.229
x = 92, y = 92, rule = R50,C0,M1,S2866..4890,B2866..3794,NM
36b14o\$33b20o\$31b24o\$29b28o\$27b32o\$25b36o\$24b38o\$22b42o\$21b45o\$19b48o\$
18b51o\$17b53o\$16b56o\$15b59o\$14b17o2b42o\$13b17o4b43o\$12b16o7b43o\$11b16o
8b45o\$10b16o10b45o\$9b15o14b44o\$9b14o16b44o\$8b14o19b43o\$7b14o21b43o\$7b
13o23b43o\$6b13o26b42o\$5b14o27b41o\$5b13o29b41o\$4b13o31b41o\$4b12o33b40o\$
3b13o34b40o\$3b12o36b39o\$2b12o38b38o\$2b12o38b39o\$b14o38b38o\$b15o38b37o\$
b17o37b37o\$19o36b37o\$19o37b36o\$20o36b36o\$21o35b36o\$21o35b36o\$22o34b36o
\$23o33b36o\$24o32b36o\$24o32b36o\$25o31b36o\$26o30b36o\$27o29b36o\$28o28b36o
\$29o26b37o\$b29o24b38o\$b30o23b37o\$b32o20b38o\$2b32o18b39o\$2b33o15b40o\$3b
34o12b41o\$3b86o\$4b85o\$4b84o\$5b83o\$5b82o\$6b80o\$7b78o\$7b77o\$8b75o\$8b74o\$
9b71o\$10b69o\$10b68o\$11b66o\$12b64o\$12b63o\$13b61o\$13b60o\$14b58o\$15b56o\$
15b55o\$16b53o\$17b51o\$17b50o\$18b48o\$19b47o\$20b45o\$21b43o\$22b41o\$23b39o\$
24b37o\$26b34o\$27b31o\$29b27o\$32b22o\$35b16o!
``````
I found this by starting with a large random rectangle of density 40%. I saw something that moved for a while before vanishing, and noticed that some phases were almost symmetric across a diagonal. I made it symmetric by ORing it with its reflection. The result moved for quite a while before vanishing, so I started making small, symmetric modifications. Eventually I found one that lasted forever, becoming the spaceship shown above.

Saka
Posts: 3627
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: Larger than Life

Dean Hickerson wrote:
Saka wrote:Also, who can find the first bug in Bugs Range 50? (Convert using my script/Dean Hickerson's algorithm)
Here's one:

Code: Select all

``````Cutie
``````
It's shockingly similar to this bug I found in Bugs Range 15, another rule which is similarly empty.

Code: Select all

``````x = 29, y = 29, rule = R15,C0,M1,S269..461,B270..357,NM
11b9o\$10b11o\$9b13o\$8b15o\$7b17o\$6b19o\$5b20o\$4b22o\$3b23o\$2b25o\$b26o\$13o
5b10o\$12o7b9o\$11o9b9o\$11o9b9o\$11o10b8o\$11o12b6o\$11o13b5o\$12o13b3o\$13o
11b4o\$b14o8b4o\$2b14o7b4o\$3b13o6b4o\$4b13o3b5o\$5b13ob5o\$7b16o\$9b13o\$11b
9o\$13b5o!
``````
Also, what's ORing? Oring, or Or-ing?

Gamedziner
Posts: 795
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Larger than Life

Dean Hickerson wrote:

Code: Select all

``Large code``
Why does that code show a hollowed out box in Viewer?

(EDIT: Snipped out most of quote at Saka's request.)
Last edited by Gamedziner on July 10th, 2017, 9:50 am, edited 1 time in total.

Code: Select all

``````x = 81, y = 96, rule = LifeHistory
58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.
A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A
\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!
``````

Saka
Posts: 3627
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: Larger than Life

Gamedziner wrote:
Why does that code show a hollowed out box in Viewer?
The grid size is too big. And also, please snip out the really big posts.

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

### Re: Larger than Life

RRO:

Code: Select all

``````x = 161, y = 67, rule = R3,C9,M0,S6..8,B6..7,NM
127.A\$124.A5.2A\$124.AB2.2B2.A\$123.2A4.2B.A\$122.3A4B.B.A\$122.2AC2.4B.A
5.H\$122.C2A.2DB2E.A4.H\$124.A2D2.B2G5.H\$124.2DA.FGF3H4.G\$123.3D.4F6.G\$
123.4DFDF.4H.EH\$125.ED2FGF5HEF\$122.C3.E2C.G5FG\$124.C2.CE.G3F2.G\$129.E
3.FG\$133.F2.E36\$2.E2.F140.E2.F\$4.GF3.E138.GF3.E\$2.G2.3FG.EC2.C131.G2.
3FG.EC2.C\$2.G5FG.2CE3.C129.G5FG.2CE3.C\$.FE5HFG2FDE131.FE5HFG2FDE\$.HE.
4H.FDF4D129.HE.4H.FDF4D\$.G6.4F.3D129.G6.4F.3D\$G4.3HFGF.A2D129.G4.3HFG
F.A2D\$.H5.2GB2.2DA130.H5.2GB2.2DA\$.H4.A.2EB2D.2AC128.H4.A.2EB2D.2AC\$H
5.A.4B2.C2A127.H5.A.4B2.C2A\$6.A.B.4B3A133.A.B.4B3A\$6.A.2B4.2A134.A.2B
4.2A\$6.A2.2B2.BA135.A2.2B2.BA\$7.2A5.A136.2A5.A\$11.A143.A!
``````
Rule with ships at speeds (reduced) 2c/1, (2,1)c/1, (3,2)c/2, c diagonal, and 3c/2 diagonal, and a (3,1)c/2 pufffer engine that I don't know if it can be stabilized:

Code: Select all

``````x = 239, y = 43, rule = R3,C8,M0,S1..1,B6..7,NM
4.4A92.4A21.A2.3A16.2A23.3A28.2A26.3A\$3.A2B2.A89.2A4.2A19.A2.3A15.A2.
2A20.3B2A26.A3.2A22.2B2.3A\$4.3B2.A87.2A.4B.2A17.BA.3B.A13.4B.2A18.3C
2B.A24.3B3.2A20.BA2.2B3A\$3.4CB2.A86.A2B4.2BA17.BA.3B.A13.2C2.2B2A16.
3D2C.B.A22.2C2.3B2A18.A3C3.2B.A\$2.C2D2BCB2.A85.2B.4C.2B16.C.A3C.B.A
11.CBA2C.2BA15.3E2D.C.B2A20.C.A.2C3BA18.2DBA3C2B\$3.3D2BCB2.A84.B2C4.
2CB16.C.A3C.B.A10.4D.2C.BA14.3F2E.D.C2BA19.3DA2.2C.B.A16.DC.B2D3CB2.A
\$2.4ED2BCB2.A83.2C.4D.2C12.B2.DC.3D.C.BA10.2EB.2D2C.BA12.3G2F.E.D2CBA
18.2E2A3D2C3.A14.B3E.B.2D.C.B.A\$.E2F2DED.BCB2.A82.C2D4.2DC8.2A2B3.DC.
3D.C.B10.EDC2E.2DC2A15.2G.F.E2DCB18.E.C.2E3DC2.BA14.2FD.3E2D3ABA\$2.3F
2DED.BCB2.A81.2D.4E.2D8.AB2A2CE2C3E.D.CB9.4F.2E.DC19.G.F2EDC18.3FC2.
2E.DAC.B14.F2.D2F3EDA.CB\$.4GF2DED.BCB2.A80.D2E4.2ED8.AB2A2CE2C3E.D.C
10.2GB.2F2EBDCB18.G2FED18.2G2C3F2E2.ACB14.3G2D.2F.EBD.C\$G2.2FGF.DED.B
CB2.A79.2E.4F.2E7.2B2C2DFE.3F.E.DC9.GFE2G.2FE2C20.2GFE18.G.E.2G3FE2BD
C17.E3G2F3.DC\$4.2FGF.DED.BCB2.A78.E2F4.2FE9.2C2DFE.3F.E.D14.2G.FE23.G
F21.E2.2G.FBE.D15.GF3.3GFACED\$5.2FGF.DED.BCB2.A77.2F.4G.2F8.C2.DGCE3G
.F.ED15.2GDFED21.G20.2E3.2G2.BED13.G3.C5.GDFDE\$7.FGF.DED.BCB2.A76.F2G
4.2GF8.C2.DGCE3G.F.E11.G5.G2E43.G6.G2DFE17.G5.3EFE\$8.FGF.DED.BCB2.A
.A.G5.G.F11.F5.F.GF41.2G7.DGF26.FGD\$10.FGF.DED.BCB2.A91.2G.2G6.GF17.
2G50.2F.G23.3G.G\$11.FGF.DED.BCB2.A90.2G.2G6.G69.F27.G\$12.FGF.DED.BCB
2.A100.G69.F30.E\$13.FGF.DED.BCB2.A\$14.FGF.DED.BCB2.A193.F\$15.FGF.DED.
BCB2.A\$16.FGF.DED.BCB2.A\$17.FGF.DED.BCB2.A\$18.FGF.DED.BCB2.A\$19.FGF.D
ED.BCB2.A\$20.FGF.DED.BCB2.A\$21.FGF.DED.BCB2.A\$22.FGF.DED.BCB2.A\$23.FG
F.DED.BCB2.A\$24.FGF.DED.BCB2.A\$25.FGF.DED.BCB2.A\$26.FGF.DED.BCB2.A\$
27.FGF.DED.BCB2.A\$28.FGF.DED.BCB2.A\$29.FGF.DED.BCB2.A\$30.FGF.DED.BCB\$
31.FGF.DED.BCB\$32.FGF.DED.BCB\$33.FGF.DED.BC\$34.FGF.DED.B\$35.FGF.DED\$
36.FGF.DED!
``````
Last edited by AforAmpere on July 22nd, 2020, 10:57 am, edited 1 time in total.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

### Re: Larger than Life

A fascinating combination of isolated blocks interspersed with oscillators.

Code: Select all

``````x = 12, y = 11, rule = R10,C3,M1,S47..177,B7..7,NN
4.A2.A\$4.2A.A\$3.3A.2A\$2.3A.A.2A\$.3A.3A.2A\$9A.2A\$2A.7A.A\$A.A.4A.2A\$5.
5A\$6.3A\$7.A!
``````

Code: Select all

``````x = 8, y = 8, rule = R10,C5,M1,S29..87,B10..10,NN
5.A\$4.3A\$3.A.3A\$2.3A.2A\$.6A\$6A\$.4A\$3.A!
``````
Brian Prentice

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

### Re: Larger than Life

A way to make n*c ships for any number n, under 25c for 3 state LTL rules:
1. Draw a n by 2n box of state 1 cells and a box of equal size under it of state two, like this for 3c:

Code: Select all

``````x = 6, y = 6, rule = R5,C3,M0,S0..0,B18..18,NM
6A\$6A\$6A\$6B\$6B\$6B!
``````
2. Set the rule to R(2n-1),C3,M0,S0..0,(2n^2)..(2n^2),NM
3. That's it

An example would be a 3c ship, so R5,C3,M0,S0..0,18..18,NM

Code: Select all

``````x = 6, y = 6, rule = R5,C3,M0,S0..0,B18..18,NM
6A\$6A\$6A\$6B\$6B\$6B!
``````
4c works the same, with rule R7,C3,M0,S0..0,B32..32,NM:

Code: Select all

``````x = 8, y = 8, rule = R7,C3,M0,S0..0,B32..32,NM
8A\$8A\$8A\$8A\$8B\$8B\$8B\$8B!
``````
25c:

Code: Select all

``````x = 50, y = 50, rule = R49,C3,M0,S0..0,B1250..1250,NM
50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$
50A\$50A\$50A\$50A\$50A\$50A\$50A\$50A\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$
50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B\$50B!
``````
Last edited by AforAmpere on July 22nd, 2020, 10:59 am, edited 1 time in total.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

dvgrn
Moderator
Posts: 10655
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Larger than Life

muzik wrote:Why does it run so slow anyway? Can't you make larger than life run on hashlife instead somehow?
One of HashLife's basic assumptions is that information can't travel faster than c. 2^(N+1)-by-2^(N+1) tiles are run 2^(N-1) ticks into the future, and the 2^N-by-2^N centers are stored and re-used without recalculating them, whenever the same large hashtiles show up again. This works only because it's impossible for anything outside of the large tile to affect the center area in that amount of time.

However, any neighborhood bigger than the eight-cell Moore neighborhood immediately invalidates that key assumption. For Hashlife to work at Larger Than Life range 50, you'd have to keep hashes of every 201-by-201-cell subpattern, just to avoid having to recalculate the state of the center cell two ticks later. That quickly turns into a whole lot of memory. And even on a machine with terabytes of RAM available, caching that information probably wouldn't make the simulation any faster. HashLife's advantage shows up when it can cache results for big tiles and long time steps, not just one cell and a couple of ticks.

... Now, 201 isn’t a power of two so it wouldn’t really fit into a HashLife-ish partitioning system anyway. But this should give some idea of how impossibly big a hashtable would have to be for the high-range Larger Than Life rules, to do the kind of speedup magic that HashLife can do for Moore neighborhoods.

Long story short, Golly just plain has to do a lot more work to simulate (most) Larger Than Life rules, simply because so many more neighbor cells might possibly affect the state of each cell. There are still bit-twiddling tricks available to speed up the calculation, but they’re more QuickLife-style tricks than HashLife-style memoization.

83bismuth38
Posts: 556
Joined: March 2nd, 2017, 4:23 pm
Contact:

### Re: Larger than Life

For me it don't work for me ):
looking to support hive five (n+18) and charity's oboo reaction (2n+18)

Code: Select all

``````x = 28, y = 13, rule = B3/S23
19bo\$3bo15bo4b2o\$2bobo14bo4bobo\$2bobo20b2o\$3bo11b3o2\$25b3o\$b2o22b3o\$o
2bo\$b2o12b2o\$10b2o2bobo\$bo8b2o2b2o\$obo7b2o!
``````

Apple Bottom
Posts: 1034
Joined: July 27th, 2015, 2:06 pm
Contact:

### Re: Larger than Life

dvgrn wrote:One of HashLife's basic assumptions is that information can't travel faster than c. 2^(N+1)-by-2^(N+1) tiles are run 2^(N-1) ticks into the future, and the 2^N-by-2^N centers are stored and re-used without recalculating them, whenever the same large hashtiles show up again. This works only because it's impossible for anything outside of the large tile to affect the center area in that amount of time.
Unrelated to LtL, but-- this is a very good description of how HashLife fundamentally works, so I pilfered it for the HashLife article on the wiki. Hope that's OK!
If you speak, your speech must be better than your silence would have been. — Arabian proverb

Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_

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