Infinite 1D Replicator Collections - The Pascal Series

[muzik]

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

[wwei23]

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!