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1
Preheat oven to 350 degrees.
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2
Make the cake: Butter three 9-inch round cake pans, and dust with flour, tapping out excess.
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3
Sift flour, granulated sugar, cocoa, baking soda, baking powder, and 1 1/2 teaspoons course salt into the bowl of a mixer.
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4
Beat on low speed until just combined.
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5
Raise speed to medium, and add eggs, buttermilk, 1 1/2 cups warm water, oil, and vanilla.
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Beat until smooth, about 3 minutes.
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7
Divide batter among pans.
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8
Bake until cakes are set and a toothpick inserted into the center of each comes out clean, about 35 minutes.
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9
Let cool in pans set on a wire rack for 15 minutes.
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10
Turn out cakes onto racks, and let cool completely.
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11
Make the caramel: Combine granulated sugar, corn syrup, and 1/4 cup water in a medium saucepan over high heat.
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12
Cook, without stirring, until mixture is dark amber, about 14 minutes.
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13
Remove from heat, and carefully pour in cream (mixture will spatter); stir until smooth.
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14
Return to heat, and cook until a candy thermometer reaches 238 degrees, about 2 minutes.
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15
Pour caramel into a medium bowl, stir in 1 teaspoon coarse salt, and let cool slightly, about 15 minutes.
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16
Stir in butter, 1 tablespoon at a time.
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17
Let cool completely.
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18
Meanwhile, make the frosting: Whisk together cocoa and 1/4 cup plus 2 tablespoons warm water in a bowl until cocoa dissolves.
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19
Beat butter, confectioners' sugar, and a generous pinch of coarse salt in a clean bowl with a mixer on medium speed until pale and fluffy.
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20
Gradually beat in melted chocolate and then cocoa mixture until combined.
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21
Let stand for 30 minutes before using.
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22
Trim tops of cakes using a serrated knife to create a level surface.
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23
Cut each in half horizontally to form 2 layers.
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24
Transfer 1 layer to a serving platter, and spread 3/4 cup caramel over top.
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25
Top with another cake layer, and repeat with remaining caramel and cake layers, leaving top uncovered.
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26
Refrigerate until set, about 1 hour.
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27
Frost top and sides of cake in a swirling motion.