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Preheat oven to 350 degrees.
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Grease and flour 2-9" cake pans.
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Make the cake:.
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Stir the cocoa with with some of the milk to form a paste.
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Stir in the rest of the milk and beat with a whisk until the mixture is smooth.
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Set aside.
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In the bowl of an electric mixture, combine the butter, shortening, sugar, eggs, vanilla.
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Beat for one minute, or until the mixture is fluffy.
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Sift together the flour, baking powder, baking powder and salt.
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Add the mixture, alternating with the chocolate mixture, to the contents of the bowl, beating between additions, beginning and ending with flour.
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Beat only until the dry ingredients are absorbed.
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Divide the batter between the 2 cake pans, and smooth with a spatula.
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Bake for 35-40 minutes until the cake shrinks from the sides of the pans, and the top springs back when gently pressed with a fingertip.
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Do not overbake!
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Cool on wire racks for 10 minutes, then carefully invert onto racks.
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Turn right-side up and let cool completely.
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Make the pudding:.
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Combine sugar, cornstarch and salt in a small, heavy saucepan.
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Gradually add the milk, mixing thoroughly with a whisk.
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Add the chocolate.
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Place over moderate heat and cook, stirring constantly, until the mixture thickens and bubbles; about 3 minutes.
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Remove from heat and stir in the vanilla.
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Pour into a small bowl, and put plastic wrap or wax paper directly on the surface of the pudding to prevent a skin from forming.
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Cool.
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Make the frosting:.
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Melt the chocolate in the top of a double boiler.
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Remove from heat and cool slightly.
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In a medium bowl beat the butter, vanilla and eggs until well blended.
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The mixture will not blend completely- Don't worry!
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Gradually beat in the sugar, about 2 T at a time, beating well after each addition.
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Beat in the melted chocolately.
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Chill the frosting while assmebling the rest of the cake, about 15 minutes.
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Assembly:.
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Using a serrated knife, cut each cake layer in half horizontally.
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Place one of the layers in the bowl of a food processor and pulse to make crumbs.
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Set Aside.
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Sandwich the remaining 3 layers with the chocolate pudding filling.
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I work on a cardboard cake circle, or the bottom of a springform pan.
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Frost the top and sides of the cake with the chocolate frosting.
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Working over a baking sheet, hold the cake in the palm of your hand.
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Using your other hand, press the cake crumbs all over the top and sides of the cake.
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Pick up any crumbs that drop, and press them back on.