The problem I see with this is that you've flattened the map. I tried doing this on my website before my current Stellar Mapping page (that I use Astrosynthesis to render in 3D) and the geometric distortions going from 3D to 2D were really bad (especially as you go further from Sol) - the stars won't keep the same distances and orientations relative to eachother because they're arranged in a spherical volume, not a flat plane. A star 10pc directly "above" Sol would just appear in the same hex as Sol, and not appear to be 10pc away - but if you put it 10 hexes away to account for that then its position relative to all the other stars near it IRL would be totally wrong.
There is no getting around the fact that Space is three-dimensional. Map projections for the Earth's curved surface are an easy problem by comparison: they just distort distances, shapes, and positions. A 2-D map of Space cannot even represent those things with a consistent distortion. 3-D position is a different kind of thing from 2-D position.
So I decided to do a layered subsector map, which kept the stars' positions and distances accurate relative to what was around them. I'd have one hex map layer for the stars that were at the same z-value ("height") as Sol, then another for the stars that were 1pc "above" Sol, and so on. I also went "down" from Sol too (I think the full range was from +8 pc to 8 pc).
Have you had a look at the Astrogator's Handbook
by McCollum & Hartnett? It's a map of the positions of 3,500-odd stars within 75 light-years of Sol in seven slices about 20 light-years thick. The stars are colour-coded for spectral type, and vertical positions within the slices denoted with elevation numbers in LY. I have the De Luxe hard copy (colour prints in a 3-ring binder), which is not available outside the US & Canada any more because of shipping costs; there is a PDF for only $14.95.
And what datasets did you use as a source for the stars?
A weakness of the Astrogator's Handbook is that it uses Gliese 3.0 data, which are dated and incomplete for dim stars.
Here is the sample map from the Scifi-az.com web page for the Astrogator's Handbook
. The product contains 63 maps like this, plus tables.
File comment: Sample page from the "Astrogator's Handbook" by McCollum & Hartnett, ISBN 1-929381-42-5, Sci Fi – Arizona, Tempe, 1999
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