RE: [-empyre-] multi-perspectival / cultural hegemony of space

This is starting to get very interesting! Unfortunately, I am what I call a 'selfish artist' (others have less kind words for it),ie, I'm in it for my own self, like a diary. So, I can't contribute much to this discussion on the science/maths side of things, but I do have a few soulful reactions which may be of use in a different way.

the geometry of the universe in some cosmologies is supposed to be non-euclidean. in the big
bang theory, there's an origin point to the universe, the beginning of time, and the universe is
supposed to be an expanding four-dimensional sphere.

I thought scientists generally accepted there are 9 dimensions? I'm asking, not stating. Also, based on my very rudimentary understanding of a single article in Scientific American, don't quantum physicists now talk about 'our' big bang, rather than 'the' big bang because they have accepted that there are an infinite number of parallel universes? I imagine that there are a lot of possibilities in infinity...

PS: Here is a fascinating 'space' by France's Frédéric Durieu: . The nature of this space is discussed
in . To make a long story short, this
piece by Durieu called "Oeil Complex" is using a mapping of 1/(a+bi), ie, is using imaginary

Lovely piece, I'm really looking forward to checking out the rest of his work.

John wrote:
> its use, by its mathematical nature, is
> restricted to a euclidean spatial representation regardless how much one
> tries to confound that space

Yes, that is exactly what I meant when I initially said that the renderer is trapped within a cartesian world view, and I find it interesting to play around with what you call the 'machine's understanding' - one of the things I find most rewarding about working with computers is telling them to do things they have not been programmed to consider. I love the, often quite startling, glitches that result when you do some 'physically impossible' geometry in a 3D program - they freak out! They don't say "that is not possible within the conceptual framework of space i've been designed to interpret, let's talk about it", they render it anyway! And often it looks wonderful. As Melinda has often said here and elsewhere, she likes to show the seams.

John wrote:
> humans have a much harder time "believing" in a space
> that does not equate to the one we walk around in every day

Some humans do, some humans don't. Certainly I've never considered the 'space' we walk around in to be definitive - how do I know that you, or anyone else, is perceiving it the same way? What about blind people? Children? What about people from non-european traditions? I know in a very general way, for example, that Australian Aborigines have what to us is a totally psychedelic and incredibly complex perception of space and time.

I would really like to hear more about the Chinese landscapists that Alan mentions and also about Analytical Cubism as mentioned in Simon's paper. Is this similar to the point that has been made elsewhere that the introduction of switchable viewpoints in games etc is a new development, even though they are just a series of camera views, and aren't rendered simultaneously as I gather is the case with the Chinese landscapists and Analytical Cubists?

But this brings it to the point that I clumsily tried to make in my introduction, which is that I'm not interested at all in how web3D can be used to represent the physical world, or visual perceptions thereof. I'm interested in the 3D medium itself, which, although it is clearly based on the cartesian paradigm, does a piss poor job of representing it, let's be honest :-) I much prefer exploring the properties of the space itself - there is no gravity unless you assign it, no up or down unless you assign it, no here or there unless you assign it, and so on. Of course when it is rendered to the screen it attempts to do it in conformance with the cartesian framework, but then it goes and does it in a 2D space, which is just as unrelated to the space we walk around in isn't it?


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