[Inkscape-user] triangulated hexagons and stars

I'm trying to make a six-pointed star, where each of the spokes is made up of a different colored triangle, and the hexagonal body is made up of another six, differently colored triangles. It should look like a quilt. Obviously, I need a dozen equilateral triangles, all carefully aligned and oriented, but I haven't figured out how to achieve this. I can make a triangle, but I don't know to go further than that.