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1
Place 1/3 cup warm water, warm milk, and yeast in bowl of standing heavy-duty mixer; stir until yeast dissolves.
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2
Fit mixer with dough hook.
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3
Add flour and salt to bowl; mix on low speed just until flour is moistened, about 10 seconds.
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4
Scrape sides and bottom of bowl.
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5
Beat in 3 eggs on low speed, then add sugar.
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6
Increase speed to medium and beat until dough comes together, about 3 minutes.
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7
Reduce speed to low.
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8
Add butter, 1 piece at a time, beating until each piece is almost incorporated before adding next (dough will be soft and batter-like).
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9
Increase speed to medium-high and beat until dough pulls away from sides of bowl, about 7 minutes.
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10
Cover bowl with plastic wrap.
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11
Let dough rise at room temperature until almost doubled in volume, about 1 hour.
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12
Lift up dough around edges and allow dough to fall and deflate in bowl.
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13
Cover bowl with plastic and chill until dough stops rising, lifting up dough around edges and allowing dough to fall and deflate in bowl every 30 minutes, about 2 hours total.
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14
Cover bowl with plastic; chill dough overnight.
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15
Butter and flour three 7 1/2x3 1/2x2-inch loaf pans.
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16
Divide dough into 3 equal pieces.
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17
Cut each dough piece into 4 equal pieces.
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18
Roll each into 3 1/2-inch-long log, forming 12 logs total.
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19
Arrange 4 logs crosswise in bottom of each prepared loaf pan.
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20
Place loaf pans on baking sheet.
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21
Cover pans with waxed paper.
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22
Let loaves rise at room temperature until dough almost fills pans, about 2 hours.
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23
Preheat oven to 400F.
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24
Gently brush top of loaves with egg glaze.
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25
Bake until loaves are golden brown and sound hollow when tapped, about 30 minutes.
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26
Cool in pans on racks 15 minutes.
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27
Turn loaves out onto racks; cool at least 1 hour.
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28
(Can be made ahead.
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29
Cool completely.
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30
Wrap loaves in foil; place in resealable plastic bags and store at room temperature 1 day or freeze up to 1 month.
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31
Rewarm room-temperature or thawed loaves wrapped in foil in 350F oven about 15 minutes, if desired.)