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World Hex Template

Global maps, hex-style

Long story short, I got to thinking about rendering a global map in hexes, using the hex templates I already created. If you’re interested in hexing out your campaign world and are only mildly bothered by inaccurate polar distortion, here’s an approach you might want to consider.

Background

If you’re already familiar with the Welsh Piper’s hex templates, you can skip this section. Otherwise, here’s the rationale I put behind the World hex template:

Hex Atlas template

Hex Atlas Template

The Atlas map (at right) is a 625-mile square divided into twenty-five 125×125 mile blocks. Each of these blocks is, in turn, represented by a single Regional map. The hexes on the Regional template can themselves be detailed on the Sub-hex template; you can then rescale the Sub-hex template to zoom into smaller and smaller areas. In short, you can go from a 25-mile Atlas hex all the way down to a 0.2-mile sub-hex and, with very little effort, maintain relatively precise positioning and scale.

The World hex template just scales in the other direction, being composed of several Atlas templates. Now you can start with a global view and zoom all the way into a 0.2-mile sub-hex pretty easily (and by easily, I mean without getting out a ruler or a calculator or actually doing anything but a bit of simple math in your head).

Creating the Template

The concept is pretty simple: arrange Atlas maps on flat surface to represent a globe. Question is: how many and in what arrangement? Again, my OCD compels me to show my work, but if you don’t care how I came up with the template, feel free to skip ahead.

Starting with an equirectangular grid (shown below), I let climate dictate size: To keep things simple, I use five climate bands (from pole to equator, that’s arctic, sub-arctic, temperate, sub-tropical, and tropical). For convenience, each band spans a single Atlas map (i.e., each climate type ranges 625 miles north to south). As a result, there are 5 Atlas maps above and below the equator. This makes the map 6,250 miles from north to south.

The proper aspect ratio for an equirectangular grid is 2:1, so given 10 Atlas maps from pole to pole, I put 20 Atlas maps along the equator. This gives an equatorial circumference of 12,500 miles.

World Hex Template

World Hex Template (click to enbiggen)

With the grid established, I determine the placement of Atlas maps. Each of the white blocks on the template above is a single Atlas map (the grey areas are unused). Token acknowledgment of polar distortion is achieved by gradually reducing the number of Atlas maps toward the poles.

World Specs

Given the above, you’ll end up with a world with an equatorial circumference of 12,500 miles. The distance from pole to pole is 6,250 miles (3,125 miles from equator to pole). Each Atlas map is a 625-mile square, with an area of 390,625 square miles. The distance along each edge of an Atlas map spans 18° of longitude (north/south) or latitude (east/west).

Using the Template

World creation with the template is very easy with these instructions:

  1. Download the template:
    • PDF – the World template PDF is good for printing so you can draw on it.
    • PNG – the World template PNG is good for inserting into your favourite image editor or graphics program.
  2. Start mapping: draw your world’s coastlines and prominent features right on the template. Ddraw only on white blocks, and remember to “wrap” the hemispheres (e.g., the eastern edge of block I3 overlaps the western edge of block L3).
  3. Drill down: use an Atlas template to detail blocks on the World map; I suggest using the World map’s coordinate system to label individual Atlas maps

That’s pretty much it.

Caveat Cartographer

Two areas of concern occur to me about the template. I’ll do my best to address them; as always, your comments and suggestions are welcome.

The first is that the world template isn’t very big. In fact, the equatorial circumference is half that of Earth’s. Not having bothered to research such things, I don’t know how this affects the planet’s rotation, atmosphere, the length of a day, or the planet’s surface gravity. While these are important scientific details, you can probably just assign whatever parameters you want and be done with it. If you want a 24-hour day and a certain axial tilt and gravity of 1G, simply make it so. Unless you’re playing a sci-fi game, it’s not likely that your players will question these details or even ask about the planet’s size.

Similarly, as a GM, you may have concerns that the world is too small to accommodate all the different settings you want to add. Valid point, though I submit that worldbuilders often err on the side of Too Beaucoup. Trust me when I say that 60 Atlas maps per hemisphere is a lot of real estate (over 23 million square miles, actually). Aside from the fact that this would take more time than a busy GM has to map out and detail, the scope of most campaigns suggest that your PCs will probably experience only a fraction of what the world has to offer.

If you actually run out of space, use the template above, but double the span of each climate band. This gives you an Earth-sized planet, so you could easily mimic real-world geography and weather patterns. (Thinking on it, you could also reverse this, and make a small moon with just Atlas templates…more on that later, I think.)

The second concern isn’t really an issue (to me), but I feel compelled to mention it: The World template is nothing close to precision cartography, particular as it pertains to wrapping an equirectangular grid around a sphere and calling it a planet. In fact, I can assure you that I pretty much ignored the math of it. Recklessly, one might say. So if you decide one day to cut out a paper copy of the World template and make it into a ball, you risk disappointment upon realising that the misshapen wad of paper in your hands looks nothing like the campaign setting you’ve lovingly crafted.

But I think that’s OK because the template does a pretty good job of straddling the line between “reasonably accurate” and “this is fun!”. I can also assure you that if your players are seriously concerned about the precision of longitudinal distance at high latitudes, they should be reprimanded for meta-gaming or subtly encouraged to suspend their disbelief. (Again, unless you’re playing a sci-fi game, the issue probably won’t come up. And if you are playing a sci-fi game, chances are you’re not really mapping the entire world anyway, so you can probably fudge it just fine.)

Final Words

The benefit of this approach to world cartography is that you can use an existing body of hex templates (without modification) with a template that provides a lot of world specs that often go undefined (e.g., climate bands, longitude, circumference). There’s also a built-in adjustment for distance at high latitudes. Best of all, you get to use hexes–how is that ever anything but a plus? Happy mapping!

  1. Reese Laundry
    March 11th, 2010 at 09:40 | #1

    Great template, Erin, and one that I’ll gladly add to my collection.

    I’m curious why you’ve gone this simplified route rather than creating a copy of the polyhedral world template (as used in your own World of Aerchus). It seems you could just as easily lay out the grid so that your Atlas Hex Templates could still be used, and it is a more “standard” world view, based on the old World Builders Guidebook, and supported by Hexographer too.

  2. March 11th, 2010 at 19:08 | #2

    @Reese Laundry : Hi Reese. No worries–I’m working on an icosohedral template as well, but this approach seemed more immediately available. Hexographer’s support for icosohedral view is great, though I’ll need to do some tweaking (and math) to make it work with the Atlas template. That said, it’s in the proverbial can… ;)

    In the meantime, I hope you enjoy these. I’m writing up a short tutorial for importing a Fractal Terrains world to these templates.

  3. Reese
    March 12th, 2010 at 01:33 | #3

    Thanks for the reply – glad to hear you’re working on it! The templates you’ve produced and shared so far have been fantastic, and the Hexographer versions make them instantly usable. Your work is very much appreciated. I found Welsh Piper not too long ago, and have enjoyed it a lot. Great work!

  4. March 12th, 2010 at 20:34 | #4

    @Reese : Thanks for the kind words, Reese.

    The icosohedral template has a few challenges, and I need to play with Hexographer’s implementation a bit before I figure out how I want to divvy up into smaller templates. The current Atlas hex template works well for regular rectangular areas, but not so much for the pseudo-sinusoidal view you get with the icosohedron. Plus, the icos’ looks better when the hexes are vertically aligned (as opposed to the horizontal you see on my templates).

    The trick (I think) is to create a “regional” template for the icosohedron, representing one of the 20 triangles on the global map. From there, you can drill-down normally. Graphically, it’s not hard, but I want to make sure you can open them up in Hexographer without any tweaking.

    Stay tuned…

  5. April 3rd, 2010 at 23:40 | #5

    UPDATE – 3 Apr 2010
    I did some math (pesky, bloody numbers, yeah?). Turns out that the hemispheres needed to be expanded a bit to accommodate an actual circle. So…I’ve uploaded a new world template.

    For those interested: expect soon a tutorial that lets you take a Fractal Terrains® map and convert it to the World Hex Template format. Yes, it can be done, and it’s quite possibly more wicked cool than you even imagined.

  6. Brennan
    February 13th, 2012 at 00:24 | #6

    So, I’m sort of curious if you ever completed the wickedly cool link between world hex template and fractal terrains?

    Brennan

  7. February 13th, 2012 at 05:49 | #7

    @Brennan It’s not complete, but it is underway. The thinking part is done–just need to get my notes and screenshots in order.

    Here’s a preview of the (almost) finished product:
    http://www.welshpiper.com/?attachment_id=2362

  8. Borislav
    August 6th, 2012 at 03:28 | #8

    Excuse me Erin, could you send me a blank template you used for your recent post.
    Thank you.

    Borislav

  9. August 7th, 2012 at 20:22 | #9

    @Borislav : You can download PDF or PNG versions of the template from the links above – or are you asking for a different template?

  1. March 21st, 2010 at 09:02 | #1

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