Quote:
Originally Posted by sir_pudding
Maybe. He appears to want to actually talk about intersections of Euclidean 3-spaces with Euclidean n-spaces (and NO, I do not think that's what HPL meant by using "non-Euclidean").
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Ah. Well, that's another topic all together (albeit a fun and interesting one particularly in relation to DF).
Quote:
Originally Posted by Anthony
And, given the context, almost certainly meant the common-language understanding of the term, which would be 'not euclidian'.
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Maybe I've been in academia too long. But in my experience, if people had any reference for the term, their common-language understanding turned out to be close to the actual definition. I know a lot more people that have heard of elliptical and hyperbolic geometry than have heard of say 7-point geometry or its obscure relatives or have bothered to consider whether or not non-orientable surfaces conformed to Euclid's Elements.
I genuinely thought the OP meant non-euclidean and really ran with it in post 27. I thought the idea was pretty cool actually. But if he was talking about something else... don't mind me.