Make King Cake dough recipe, halved.
Once the dough has risen the first time, punch it down and roll it out on a floured surface into a 12 x 17ish inch rectangle. Using a pastry brush or the back of a spoon, liberally apply softened butter all over the dough. Sprinkle with sugar and cinnamon.
Using a pizza cutter or sharp knife, cut 4 inch wide strips from dough.
Cut dough strip into mini rectangles. {About 2x4 inch}
Roll rectangles, jelly roll fashion, into little logs.
Bring ends together and pinch dough to seal the seam. {They should look like little donuts.}
Preheat the oven to 375 °F. Place in a buttered or sprayed mini bundt cake pan, and press down slightly. Cover and let rise in a warm place, 20-30 minutes.
Bake for 12 to 14 minutes, or until cakes start to get slightly golden in color. Let cool slightly, and remove from pans. Cool completely before icing and decorating.