## Infinite 1D Replicator Collections - The Pascal Series

For discussion of other cellular automata.
muzik
Posts: 3906
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Infinite 1D Replicator Collections - The Pascal Series

To collect instances of replicators that trace out the Pascal triangle of modulo n when given a time axis.

mod 2:

Code: Select all

``````x = 1, y = 2, rule = B2a/S
o\$o!
``````
mod 3:

Code: Select all

``````x = 3, y = 4, rule = B3-e4ny56i7e/S2-ck3r4-nt5jq6
bo\$3o\$3o\$bo!
``````
true mod 4: None known

false mod 4:

Code: Select all

``````x = 4, y = 3, rule = B2ei3-akny4acnqrw5aqy6aen/S1c2-ik3ack4cjknrw5acjk6c7
b2o\$o2bo\$b2o!
``````
mod 5:

Code: Select all

``````x = 4, y = 3, rule = B2e3-cnqy4rwyz5y6ace7c/S1c2ac3aiq4eiknrwy5cn6ekn7c8
b2o\$o2bo\$b2o!
``````
true mod 6: None known

false mod 6: None known

mod 7: None known

true mod 8: None known

false mod 8: None known

true mod 9: None known

false mod 9: None known

Higher order: None yet known
Last edited by muzik on October 27th, 2018, 6:31 pm, edited 1 time in total.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

wwei23
Posts: 968
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Infinite 1D Replicator Collections - The Pascal Series

Mod 5

Code: Select all

``````x = 4, y = 3, rule = B2e3-cnqy4rwyz5y6ace7c/S1c2ac3aiq4eiknrwy5cn6ekn7c8
b2o\$o2bo\$b2o!
``````
EDIT: Another Mod 5

Code: Select all

``````x = 4, y = 3, rule = B2e3ceijq4aijqrtw5iny6ae7c8/S1c2-ei3aq4qryz8
b2o\$o2bo\$b2o!``````
EDIT: Another false mod 4:

Code: Select all

``````x = 4, y = 3, rule = B2ein3ceij4kqrty5jqy6aek78/S1c2ac3aj4ckqr5en6-ai8
b2o\$o2bo\$b2o!
``````

Code: Select all

``````x = 4, y = 3, rule = B2ein3-acr4-ajrwy5jy6aei7e8/S1c2acn3ajkny4aeijqwz5ejny6cik7
b2o\$o2bo\$b2o!
``````