06022019, 09:32 AM  #31  
Join Date: Jul 2009
Location: UK

Re: [Space] Mapping Large Flat Areas
Quote:
1) How many stars are in this space? 2) What is the size of this space? Without this information, the best answer you'll get is a complicated formula that requires calculus. 

06022019, 06:26 PM  #32 
Join Date: Feb 2016

Re: [Space] Mapping Large Flat Areas
There are around 2,000 stars within 50 ly of Sol, many of which would appear quite close to each other on a 2D map without a 3D dimension. There are ~260,000 stars within 250 ly of Sol, many of which would appear quite close to each other on a 2D map without a 3D dimension. In the former case, there would effectively be effectively 1 star per 4 square ly of projection. In the latter case, there would effectively be 3 stars per 4 square ly of projection. You can start to see the complications with a 2D hyperspace real quickly, and that is without looking at the millions of galaxies below and above the Milky Way.

06032019, 05:41 AM  #33 
Join Date: May 2005
Location: Oz

Re: [Space] Mapping Large Flat Areas
I gave the formula in post #19. It's not complicated and doesn't require calculus. Average nearestneighbour distance in two Euclidean dimensions = 0.5/sqrt(n/V).
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Last edited by Agemegos; 06032019 at 09:13 PM. 
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