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Re: 3 accessible dimensions in hyperspace
Posted:
Mar 17, 2013 2:58 AM
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On 3/16/2013 1:26 PM, stefan berger wrote:
> In short: I have a problem with wrapping my head around the idea of an ever expanding infinitely sized universe as well as the idea of a finite universe. The problem with the latter being that there would be a wall, with the former that infinite space is hard to understand. Now the question: Is there a mathematical model for 3 accessible dimensions , this is what we 'perceive', in a higher-dimensional space that wraps around? Not that higher dimensions are easier to understand, nevertheless it could somehow 'explain' *seemingly* infinite space.
>
> In 2 dimensional space I can imaging a *seemingly* infinite space when thinking of the surface of a sphere. The spherical coordinates
>
> x = r * sin(theta) * cos (phi)
> y = r * sin(theta) * sin (phi)
> z = r * cos(theta)
>
> obviously describe the surface-coordinates in such a 3d space with only 2 dimensions accessible
http://en.wikipedia.org/wiki/Klein_bottle
http://en.wikipedia.org/wiki/Alice_universe#Alice_universe
If no one more knowledgeable gives you anything better...
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