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1
To prepare vanilla dough, lightly spoon 1 1/4 cups flour into dry measuring cups; level with a knife. Combine 1 1/4 cups flour and 1/8 teaspoon salt, stirring well with a whisk. Place 1/2 cup sugar, 1/4 cup butter, and 1 egg yolk in a medium bowl; beat with a mixer at medium speed until smooth. Beat in 1 1/2 teaspoons vanilla. Gradually add flour mixture to butter mixture, beating at low speed just until combined. Sprinkle 2 tablespoons ice water over surface of dough; beat just until moist. (Dough will be slightly crumbly.) Press dough into a 4-inch circle on plastic wrap; cover and chill 1 hour or until firm.
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2
To prepare chocolate dough, lightly spoon 3/4 cup flour into dry measuring cups; level with a knife. Combine 3/4 cup flour, cocoa, and 1/8 teaspoon salt, stirring well with a whisk. Place 1 cup sugar, 1/4 cup butter, and 1 egg yolk in a medium bowl; beat with a mixer at medium speed until smooth. Beat in 1/2 teaspoon vanilla. Gradually add cocoa mixture to butter mixture, beating at low speed just until combined. Sprinkle 2 tablespoons ice water over surface of dough; beat just until moist. Press dough into a 4-inch circle on plastic wrap; cover and chill 1 hour or until firm.
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3
Slightly overlap 2 sheets of plastic wrap on a slightly damp surface. Unwrap and place chilled vanilla dough on plastic wrap. Cover dough with 2 additional sheets of overlapping plastic wrap. Roll dough, still covered, into a 12 x 8-inch rectangle. Place dough in freezer 5 minutes or until plastic wrap can easily be removed. Remove top sheets of plastic wrap.
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4
Slightly overlap 2 sheets of plastic wrap on a slightly damp surface. Unwrap and place chilled chocolate dough on plastic wrap. Cover dough with 2 additional sheets of overlapping plastic wrap. Roll dough, still covered, into a 12 x 8-inch rectangle. Place dough in freezer 5 minutes or until plastic wrap can easily be removed. Remove top sheets of plastic wrap.
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5
Place vanilla dough on top of chocolate dough, plastic wrap side up. Remove plastic wrap from vanilla dough; turn dough over onto a lightly floured surface. Remove plastic wrap from chocolate dough. Cut dough stack in half crosswise to form 2 (8 x 6-inch) rectangles. Stack one rectangle on top of the other, alternating vanilla and chocolate doughs; wrap in plastic wrap. Freeze 10 minutes or until firm and plastic wrap can easily be removed.
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6
Cut the dough crosswise into 6 (6 x 1 1/3-inch) strips. Stack 2 strips on top of each other to form a stack, alternating vanilla and chocolate to form a striped pattern; wrap in plastic wrap, pressing gently. Repeat procedure with remaining 4 strips to form 2 stacks (there will be 3 stacks total). Chill 30 minutes or until very firm.
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7
Preheat oven to 375u00b0.
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8
Working with 1 stack at a time, unwrap dough. Carefully slice each stack into 12 slices. Place dough slices 2 inches apart on baking sheets lined with parchment paper. Bake at 375u00b0 for 12 minutes. Cool on pans 5 minutes. Remove cookies from pans; cool completely on wire racks.
