[Challenge] A monospecific rule with an endemic object
Posted: January 6th, 2019, 9:58 am
Building from this post, which I recommend reading for some background, shows the possibility of there being a monospecific rule containing an endemic object as its only object.
Defining "monospecific rule" as a CA rule in which there only exists one stable object. "Endemic" was coined a while back: an object which can only exist in one rule*.
* For a given rule domain! It's obvious that the Demonoid works in all 8 MAP variations of CGoL, but unless we are referring to MAP rules, pointing that out is beyond pedantic.
So anyway, how to approach this:
Defining "monospecific rule" as a CA rule in which there only exists one stable object. "Endemic" was coined a while back: an object which can only exist in one rule*.
* For a given rule domain! It's obvious that the Demonoid works in all 8 MAP variations of CGoL, but unless we are referring to MAP rules, pointing that out is beyond pedantic.
So anyway, how to approach this:
- The juicy rule to be found is within the isotropic non-totalistic domain. It would be stunning.
- I profoundly doubt such a situation would happen within totalistic rules, so we should prove that this is impossible.
- As a more approachable problem, it would be useful as a first step to find such a case in the two-state anisotropic rule domain (i.e. MAP rules). I think this should be easy enough to attempt!