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New replicator that creates a flying Sierpinski triangle

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New replicator that creates a flying Sierpinski triangle

Postby MarcusKyo » January 11th, 2019, 11:57 am

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.
Black = dead
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.
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Re: New replicator that creates a flying Sierpinski triangle

Postby rowett » January 11th, 2019, 12:08 pm

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

Postby MarcusKyo » January 11th, 2019, 12:13 pm

Thanks! Wow, didn’t know you could embed simulations in here. I got a lot to learn.
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Re: New replicator that creates a flying Sierpinski triangle

Postby muzik » January 11th, 2019, 12:43 pm

Reminds me of this one I found a while ago.

muzik wrote:
x = 5, y = 2, rule = B2e3i4a6i/S1c2-an3i
o3bo$b3o!
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Re: New replicator that creates a flying Sierpinski triangle

Postby 77topaz » January 11th, 2019, 8:06 pm

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.
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Re: New replicator that creates a flying Sierpinski triangle

Postby MarcusKyo » January 13th, 2019, 5:43 am

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/S2k4z
bo20bo$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 = /1/3V
A!
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Re: New replicator that creates a flying Sierpinski triangle

Postby Hunting » January 13th, 2019, 6:27 am

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...
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x = 4, y = 6, rule = B2e3i4at/S1c23cijn4a
o2bo$4o3$4o$o2bo!
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Re: New replicator that creates a flying Sierpinski triangle

Postby Saka » January 13th, 2019, 7:07 am

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/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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