There is, actually, a bit of an easier way to do that.

What you do is sew two long strips of fabric together. For simplicity, we'll call them colour A and colour B. The height of the strips will determine the overall size of the hexagon, but really, it doesn't matter too too much how big or small they are. If you make them really big, you'll want to do two sets of each colour.

Take the fabric strips and press them, you'll probably want seams open for this one, or seams to the darker colour.

Take a plastic ruler, and cut the sewn strips into triangles, using the 60 degree mark, so that all sides are the same length. If you do it in the same way as the triangles are laid out in the photo attached, you'll end up with (at least) 6 with large A pieces and small B pieces, and (at least) six that are the reverse. (So you'll get 2 different complete hexagons out of each combination.) You'll want to repeat this step with more than enough colour combinations that it'll cover the area of your projected quilt size. You'll lose some still to seam allowances - if you come back and provide the info, I'll help you figure it out.

Then, lay all of them out however it's most pleasing to you. The ones along two parallel edges will only be half hexagons. Laying them out is important - it saves you having to do split seaming to get them all together.
Finally, sew it back together in the way I've highlighted the diagram. This way you'll end up with long rows of fabric that are pretty easy to sew back together and match seams on.



You can see in the above image how a strip of fabric is cut into equilateral triangles, and you can also see how the pieced strips are sewn back together in a decorative pattern.

(If any of this is confusing or needs clarification, hit me back - I'm a little addled this morning. I've found this technique much easier and more reliable than trying to piece the triangles for the hexagons totally separately, and then split-seaming them together)

Someone expressed interest in another thread, so in lieu of threadjacking, here's my latest exercise in frustration



I'm done the orange, almost done the green, and onto the purple - Here's a photo of  the orange



I've been working on it a few years. To give you an idea of scale, the larger squares are 6.5x6.5, and the smaller are 3.5 x 3.5 - the "small" pieces in the "small" square are sometimes .25" x .25".

And now the part where you'll REALLY think i'm crazy.

I'm doing it all using fabric I dyed myself.

And I'm hand sewing it all - It's paper piecing.

Friends are now joking that I'd better hurry up or else they won't be able to bury me in it.

All in all there's about 5300 separate pieces - between 20 and forty squares/rectangles for each individual colour.

Edited to add closeups of some of the patches completed so far:





Sorry they're a bit dark - someone borrowed my good flash.

Edit: To clarify: The first picture is the magazine's photo of the completed project. I'm nowhere near that far done yet

Did any of the squares look like this?