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hotdogPi wrote: October 16th, 2024, 9:52 am

confocaloid wrote: October 16th, 2024, 9:49 am

hotdogPi wrote: October 16th, 2024, 9:41 am "Does it fit within the bounds of 4a" seems unambiguous to me, namely, is it a subset (including 4a itself).

For clarity:
(1) does it still count if it specifies more? (E.g. does "B4a" or "S4a" count?)
(2) does it still count if it specifies less? (E.g. does "4" count?)
(3) does it suffice that _some_ orientation has "specified ON" cells as a subset of "specified ON" cells of some orientation of "4a", or there are added restrictions on the orientations?

There may be further complications hidden behind the ambiguities.

The first two questions aren't relevant to this game, as the rules say that guesses don't distinguish between birth and survival, and "4" isn't a valid guess.

For the third one, I would say yes. This game only lists e.g. "4a", not "top left, top middle, top right, left middle".

If I'm counting right, then the question basically asks whether or not it's one of "0", "1c", "1e", "2a", "2c", "2e", "2k", "3a", "3i", "3n", "3j", "4a". Is this the correct intended interpretation of the question "Does it fit within the bounds of 4a"?

rutabaga wrote: October 16th, 2024, 9:05 am My question is, does #2 have 1-2 diagonal cells?

Yes, either 1 or 2. You get the chance to decide #6.

Also, if you are interested in 2-state isotropic rule, remembering Hensel notation brings conveniences.
(I feel naming conditions in Hensel-notation is just like how Chinese characters were created, so it was easy to understand)

While trying to memorize the notation, it's a good idea to spend some time thinking about what exactly it means. (In other words, how the string of digits and letters is translated into a rotate4reflect-symmetric 9-input 1-output Boolean function?)

There's very little point in memorizing a notation without understanding what it is, what it does, what are related issues, what are related ideas, concepts, distinctions, and so on.

islptng wrote: October 16th, 2024, 9:44 pm [...]
Also, if you are interested in 2-state isotropic rule, remembering Hensel notation brings conveniences.
(I feel naming conditions in Hensel-notation is just like how Chinese characters were created, so it was easy to understand)