I have patience in spades to do many things, but cutting out fabric using templates is not one of them. Traditionally, Endless Chain patterns are made with templates - which means that every piece of fabric in the quilt is cut out individually. The way I avoided templates while making Catena was to paper piece. Now I'm not saying that paper piecing is any less of a pain-in-the-neck than using templates. It's just a different kind pain that I can tolerate, while template cutting is not.
Drafting a pattern was the hardest part of the process. First I used a hexagon ruler and traced it on a piece of paper. Next, I had to be reminded of my high school geometry to figure out the angles and how to divide the hexagon into 12 wedges. Luckily I have smart friends who remember those things and helped me out.
I cut the hexagon in half and added a 1/4 inch seam allowance around each piece. Now is a good time to make a few photocopies of the pattern. I had to remake the 1/4 inch pattern more than once because I kept using up the last one. Which is why this example looks like it was copied onto scrap paper. Because it was!Then I paper pieced the two halves, using the two fabrics. I alternated the fabrics around the wheel. I won't explain how to paper piece because I am sure there are a million tutorials/books/articles that explain how to do it much better than I can.
Finally, I a circle was appliqued onto the center. And I had a block. The beauty of the circle is that if your points do not come come quite together in the center, it doesn't matter. The circle covers that.