On each side of a unit square, an equilateral triangle of side length 1 is constructed. On each new side of each equilateral triangle, another equilateral triangle is constructed. The interiors of the square and the 12 triangles have no points in common. Let R be the region formed by the union of the square and all the triangles, and let set be the smallest convex polygon that contains R. What is the area of the region that is inside S but outside R?

Solving for area isn't too difficult, but I'm confused on how to draw this. Can anyone give me some guidance so I can start?