Unroll the crescent dough; separate into 8 triangles. On a parchment paper-lined baking sheet, arrange the triangles in a star shape, with short ends meeting in the center and slightly overlapping. (Leave a 4-inch circle open in the center.) Lay 1 bacon strip lengthwise down the center of each triangle.
Sprinkle the widest part of the triangles with 1/3 cup of the cheese. Top with the egg mixture; sprinkle with another 1/3 cup of the cheese.
Pull the points of triangles over the eggs and cheese. Tuck the dough under to form a ring (the filling will still be visible).