User talk:IgnacyJ/Polythlons list

From LifeWiki
Revision as of 05:50, 20 November 2021 by IgnacyJ (talk | contribs)
Jump to navigation Jump to search

P1:

x = 10, y = 3, rule = B/S1e2ci3y
2bo4bo$2ob4ob2o$2bo4bo!

P2:

x = 10, y = 3, rule = B4e/S1e2ci3iy4t
2bo4bo$2ob4ob2o$2bo4bo!

P47:

x = 10, y = 3, rule = B2in34e5y/S235e6a
2bo4bo$2ob4ob2o$2bo4bo!

P24:

x = 10, y = 3, rule = B2in34e5y/S234t5e
2bo4bo$2ob4ob2o$2bo4bo!

P59:

x = 10, y = 9, rule = B2i34enq5iky6c/S235e
4b2o$2bo4bo$bo6bo$o8bo$o8bo$o8bo$bo6bo$2bo4bo$4b2o!

-wwei23, 6:44 PM, 11/19/2021 NY time

Maybe a definition of "polythlon" should be mentioned explicitly. Following the examples above, unsorted:

P10:

x = 6, y = 5, rule = B35y/S236c
bo2bo$o4bo$o4bo$o4bo$bo2bo!

P30:

x = 6, y = 1, rule = B3-cknr4inwz5knq6ck/S2-e3-kn4ctw5c
6o!

P18:

x = 4, y = 3, rule = B2ein3einqr4nqz5aijny6aen7c8/S1c2acn3ainqy4ce5ekr6ac
b2o$o2bo$b2o!

P17:

x = 27, y = 5, rule = B3-ckny4eit/S23-j4cn7e8
7b2o9b2o$6bo2bo7bo2bo$2o4bo2bo7bo2bo4b2o$6bo2bo7bo2bo$7b2o9b2o!

P23:

x = 9, y = 6, rule = B2in3-jn4aew5c6/S2-k3-a4-r
4bo$2o5b2o$o7bo$o7bo$2o5b2o$4bo!

Also the "shortest rulestrings" may not be easy to find but isorulemin is. (I don't know if there is a script that, besides calculating isorule ranges, picks the shortest rulestring by considering minus signs) GUYTU6J (talk) 01:20, 20 November 2021 (UTC)

I'm pretty sure that the shortest rulestring can be made by choosing the each digit+transitions directly either from minrule or maxrule.

So for example if minrule is B3-kny4rtw5i/S2cik3ek4y6a and the maxrule is B3-y4-a5ciy7e8/S2-ne3ejkny4yr5j6a7e8, then you get the shortest rulestring by choosing the bolded parts.

As for the definition, I'd say that a polythlon is a D4+-symmetric oscillator that is elongated in one direction for most of its phases and appears to pulsate.

IgnacyJ (talk) 06:38, 20 November 2021 (CET)