Home  •  LifeWiki  •  Forums  •  Download Golly

## New replicator that creates a flying Sierpinski triangle

For discussion of other cellular automata.

### New replicator that creates a flying Sierpinski triangle

Hello, my first time here, but I'd like to get some opinions on this new rule for creating what I think is a really amazing replicator. Is it unique? Is it a step up from a Fredkin replicator?

I show it off and explain it in my video here:
https://youtu.be/rUM3rj3lbDQ

I use a Generations algorithm and 3 states for a cell.
Red = alive
Yellow = trail left behind by red and dies after 1 generation

Rule in Base64 MAP Notation:
`MAPSAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/3`

I've made other really nice patterns using it, but I think the flying Sierpinski triangles were the most impressive.
MarcusKyo

Posts: 3
Joined: January 11th, 2019, 9:56 am

### Re: New replicator that creates a flying Sierpinski triangle

I really like the two flying over each other version from your video.

Code: Select all
`x = 5, y = 5, rule = MAPSAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/3....A\$...B.\$\$.B\$A![[ AUTOSTART AUTOFIT LOOP 1018 ]]`

rowett
Moderator

Posts: 1366
Joined: January 31st, 2013, 2:34 am
Location: UK

### Re: New replicator that creates a flying Sierpinski triangle

Thanks! Wow, didn’t know you could embed simulations in here. I got a lot to learn.
MarcusKyo

Posts: 3
Joined: January 11th, 2019, 9:56 am

### Re: New replicator that creates a flying Sierpinski triangle

Reminds me of this one I found a while ago.

muzik wrote:
`x = 5, y = 2, rule = B2e3i4a6i/S1c2-an3io3bo\$b3o!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3301
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: New replicator that creates a flying Sierpinski triangle

Hmm... that reminds me of this pattern, another example of Sierpinski replicators XOR-ing through each other, though that one is in an isotropic two-state rule.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: New replicator that creates a flying Sierpinski triangle

muzik, yeah, and I also noticed you found another one in the post 77topaz linked to that gives the exact pattern with a different rule.

`x = 24, y = 7, rule = B2a3ir5aik7e/S2k4zbo20bo\$2o20b2o4\$7bo8bo\$6b2o8b2o!`

It has the same kind of pattern but I noticed it does something very different and cool. It creates the overall pattern but its constituent parts are smaller oscillating patterns of the same type, whereas the constituent parts of my pattern are just individual cells.

Looks like twinb7 also found the same pattern with this.
`x = 1, y = 1, rule = /1/3VA!`
MarcusKyo

Posts: 3
Joined: January 11th, 2019, 9:56 am

### Re: New replicator that creates a flying Sierpinski triangle

Somehow, I rediscovered 1/1/5 in 2017, however I always thinking I discovered it first until someone rediscovered it again and then Saka said he discovered it in 2015...
This post was brought to you by the Element of Magic.

Plz correct my grammar mistakes. I'm still studying English.

Working on:

Nothing.

Favorite gun ever:
`#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo\$4o3\$4o\$o2bo!`
Hunting

Posts: 1010
Joined: September 11th, 2017, 2:54 am
Location: Ponyville, Equestria

### Re: New replicator that creates a flying Sierpinski triangle

Hunting wrote:... and then Saka said he discovered it in 2015...

To be fair, that was also probably a rediscovery as well, it was probably found shortly after generations was conceived
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 2876
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X