Dough: In a mixer fitted with a dough hook, combine all the ingredients for the dough. Mix at low speed for 2 minutes, then increase the speed to medium and mix for another 6 minutes. To test if the dough is ready, stretch a small piece of dough between your hands into a thin sheet and hold it up to the light. If you see a web-like pattern, the dough is developed; the webs are the strands of gluten. If you do not see them, mix the dough at medium speed 2 minutes more, then test again. Transfer the dough to a bowl, cover with a damp cloth, and refrigerate at least 2 hours or over night.
Honey Schmear: In a mixer, mix the brown sugar, butter, honey, corn syrup and cinnamon until smooth. Add the water and mix until smooth, adding more water as needed to make the mixture spreadable.
Bun Finish: Butter 10 cups of a large muffin tin. Spoon 2 tablespoons of the honey schmear into the bottom of each cup. In a small bowl, mix the sugar and cinnamon. On a lightly floured surface, roll the dough into a 10-by-10-inch square about 1/4- inch thick. Brush with the melted butter and sprinkle with the cinnamon sugar. Using your hands, firmly roll up the dough like a jellyroll. Transfer to a sheet pan and refrigerate 30 minutes. Using a sharp knife or a taut length of dental floss, cut the dough into 10 slices, each about 1 inch thick. Place one slice (on its cut side) in each muffin cup. Cover with a damp cloth, and let rise in a warm place until they reach the rim of the pan, about 1 to 1 1/2 hours. (Or, cover and let rise in the refrigerator overnight.)
Preheat the oven to 350 degrees F. Bake until golden brown, 25 to 30 minutes. Meanwhile, line a sheet pan with parchment paper. Let the buns cool in the pan for 2 minutes, then flip the pan over onto the sheet pan. Carefully lift off the muffin pan, leaving the buns and toppings on the sheet pan. Let cool. Meanwhile mix together the powdered sugar and milk to make a glaze. With a spoon drizzle the glaze over the top of the buns.
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