1. Infinite space.
2. From our planet, we can observe 9 other planets in the immediate area (for a total of ten planets in our space 'region').
3. We observe 9 planets in each region immediately bordering our own.
4. Eight planets beyond that one.
5. Seven planets beyond that one.
So on and so on until we no longer see any planets, we do not have the technology to observe beyond the regions where there are only three known planets in each.

Is there an infinite number of planets in this model of the universe?

Post edited at 8:25 pm on Jan. 8, 2007 by medjai

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O` tru apothecary!
Thy drugs are quick.
Thus with a kiss I die.

I mean, like how many regions border ours? and so on...

Onc could assume that the next regions beyond our view would have two, and then one it would seem.

Post edited at 8:36 pm on Jan. 8, 2007 by Rastafarian

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"Who are you?" Sophie asked.
She received no response to this either, but felt a momentary
confusion as to whether it was she or her reflection who asked
the question.

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Onc could assume that the next regions beyond our view would have two, and then one it would seem.

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Why could one assume that? What if right after the regions with three planets, there are regions with four, or seven, or seven million?

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O` tru apothecary!
Thy drugs are quick.
Thus with a kiss I die.

       
     |10| - region 1
     
         9
    9 |10| 9 - region 1 and 4 region 2...
         9

and so on. But alternatively look like this.
       9|9
   9 |10| 9
       9|9

All regions still border the region that came before, but there are more of them...

And so on.

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"Who are you?" Sophie asked.
She received no response to this either, but felt a momentary
confusion as to whether it was she or her reflection who asked
the question.

So we have no idea how many planets are in a particular region, just how many we observe?  If so that means there must be at least the observed number of planets in any region, but there could be any higher number.  Thus the answer is not a definitive "no;" it's either "yes" or "impossible to determine."  The description of the geometry seems pretty vague to me and so I'm pretty confused here, but as long as we know there aren't an infinite number of regions within 3 "layers" then we can safely say that it's possible that we're observing all of the planets in existence and that that number is finite.  Thus the number can be both finite or infinite.

Am I missing something here?

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http://www.golivewire.com/forums/peer-yatapys-support-a.html

Therefore, I cannot give a definative answer.

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now lookee baby,
you're just nineteen.