4 Comments

  1. Bruce Heard
    25 February 2016 @ 9:37 pm

    That’s really fabulous work, Thorf!

    Reply

  2. LoZompatore
    26 February 2016 @ 6:28 am

    Great work!
    A little hard to follow in some sections but I got the overall scheme and now, after some thought, I’m definitely on it.
    I agree on everything you wrote, I think you managed to get the correct paradigm for the Hollow World mapping!

    I’m eager to see what are the loose ends you talk about, then to behold the 3D model in all its glory! 😀

    Reply

    • Thorfinn Tait
      26 February 2016 @ 5:34 pm

      You can see why I split this up — originally, the last three articles were all one single very long one! It would have been even harder to take in that way, I’m sure.

      Let’s see if I can summarise very briefly what I’ve done (for myself as much as for you!):

      1. I took the north-south dimensions of the hex map (and therefore the world map, too) as correct.
      2. As a result, the latitudes (other than the equator) must be ignored completely.
      3. However, we still want to straighten the map out into Equirectangular projection.
      4. So we take the straightened out map, cut it into 30º segments of (marked) latitude, and resize each segment to match the original Hollow World map.
      5. Next, we do the same for the hex map, resulting in a straightened out (north is always straight up) map that has a completely regular column of hexes up the central meridian.
      6. Before we put the two maps together, we need to match up longitudes of the world map.
      7. I took the east-west dimensions of the world map to be correct. Since their areas on the map are not equal, and indeed the eastern and western hemispheres are different sizes, I chose to preserve the visual appearance and ignore longitude lines.
      8. So we take the Hollow World map and again cut it into vertical lines, this time along the longitude lines.
      9. Using the original map as a reference, we resize each strip to match the longitudes along the equator.
      10. A strip of ocean needs to be added in the east (left) to centralise the central meridian.
      11. This leaves us with an Equirectangular world map that visually resembles the original pseudo-Robinson world map. (Essentially what we did was remove all of the irregularities during the reprojection, then put them all back.)
      12. Since we matched latitudes and longitudes with the pseudo-Robinson map, these are all to be ignored on the Equirectangular map, too.
      13. Now we can overlay the hex map. In order to get the world map to fit, the world map needs to be stretched horizontally to about 110%.
      14. Finally, we add more sea at the edges to make up the difference to the official figure of 11,908 miles circumference.

      Phew. I’m not sure I follow this all myself! 😉

      I’m already working on the 3D model. The results are promising so far. More on this at the weekend, hopefully.

  3. Lining Up Mystara I – Thorfinn Tait Cartography
    28 February 2016 @ 1:46 am

    […] Up Mystara XI, Lining Up Mystara XII, Lining Up Mystara XV, Lining Up Mystara XVI, Lining Up Mystara XVII, Lining Up Mystara […]

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