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1
Heat oven to 350u00b0F with rack in middle. Oil pans and line bottoms with rounds of parchment, then dust sides only with cocoa powder, knocking out excess.
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2
Whisk together water, coconut milk, 3/4 cup oil, eggs, and vanilla in a bowl until well blended and smooth.
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3
Sift together flour, sugar, 3/4 cup cocoa powder, baking powder and soda, and salt into a large bowl. Add wet ingredients to flour mixture and whisk until smooth.
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4
Divide batter between pans, and bake until a tester comes out clean and layers just begin to pull away from side of pans, 25 to 30 minutes.
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5
Cool cake layers in pans on a rack 30 minutes, then run a thin knife around edge of pans and invert cakes onto rack. Remove parchment and cool completely.
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6
Combine coconut milk, chocolate chips, and espresso powder in a heat-proof bowl. Set bowl over a pan of barely simmering water, and heat, whisking occasionally, until chocolate is melted and smooth.
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7
Remove bowl from pan and whisk in corn syrup and vanilla.
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8
Chill frosting, stirring occasionally, until slightly thickened and spreadable, about 2 hours. (To quick-chill, place bowl in the freezer and stir occasionally until chocolate mixture is thickened and spreadable, 20 to 30 minutes.)
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9
Spread frosting generously between cake layers and over top and sides.