OK, first things first: .21/.36=.583, thus a planet of .21 eath masses and .6 earth radii should have .58 of earth surface gravity, which is in agreement with the TC-value of about .591 -- there's no contradiction here as somebody mentioned earlier (or is the little difference a hint to something??) I like the interprtation of the TCians as prey animals, since their perception obviously favors breadth over height or length (judging fom their syntax...). This would go nicely with somebody elses speculation, that the Cetian in message 3 may be crawling rather than standing erect. In this case it may be allowed to speculate, that they perceive things as lying rather than standing - like their planet or ther stellar system - which would naturally validify the assumption of the image in message 8 being the homeworld seen from a pole (just as we always picture the earth as somehow "standing" with the pole axis as a vertical). The problem with this interpretation is, that this would mean that the temperature/difference/ between their poles and equator only amounts to 28C - an effect which can not easily be accounted for in the light of the fact that the atmospheric pressure at the surface can't be very high due to the low surface gravity. If "y" is "place" and "w" is "life", then maybe the interpretation of "wyw" is more something like "home" (the place of life) than the more technical interpretation of "habitable planet"? This could be supported by the fact that only "2" is "wyw", even though 797 also carries life? The planets that carry a "9" are exactly "2" and the two intermediate sized planets, but neither of the big ones. Is it possible that "9" also represents some kind of "life" (or "possibility for life" like in "hospitable to life" or somesuch)? With "2" being "home" and the next two planets still being close enough to the sun to at least potentially carry life (being "hospitable" - and the second planet does indeed carry some form of life)? Then 9^0 could actually mean "Cetians are hospitable", i.e. something like an invitation over for lunch? In the inside-out logic of the TC's, the picture in line 3 of message 8 could be what we would call a bracket. They want to give us the temperature bracket of ther world and insterad of writing "temperature of 2 is -20C or 7C" which would be difficult to interpret, they indicate these numbers as what we would call the opposite ends of a spectrum - just that theu don't like ends and thus give it as center and primeter of a circle ... the 1st and 3rd line together could then be: "we are friendly and it's nice here" ... Long shot: is it possible, that "3" is something like "mind"? In message 6 we leard, that "3" contains "m", the universe or the infinite, and in #8 they tell us that it even contains "-m-", the /concept/ of an infinity (if the current best guess as to the meaning of "-" is correct ...) us, that "3" even contains "-m-", the /concept/ of an infinite quantity (if the current best guess for "-" is correct. I think, it is, since it gives us "1,2,3" as the concept of "increasing" something (i.e. addition) and "3,2,1" as the concept of "decreasing" and "X=1" as the concept of equating things...). In any event it is interesting, that in both cases the statement was the last one in the message, making it either something like a postscript (like "oh, yes, we also do philosophy, not only boring science") or adds importance to it as the final, concluding words of the message ... questions upon questions ...