In large bowl, combine 1 1/2 cups all-purpose flour, sugar, salt, cinnamon, allspice and undissolved yeast.
Heat water, milk and butter to 120? to 130?F. Butter does not need to melt. Gradually add to dry ingredients; beat 2 minutes at medium speed of electric mixer, scraping bowl occasionally. Add egg and 1/2 cup flour; beat at high speed 2 minutes, scraping bowl occasionally. With spoon, stir in carrots, dates, whole wheat flour and enough additional all-purpose flour to make soft dough.
Knead on lightly floured surface until smooth and elastic, about 4 to 5 minutes. Cover; let rest 20 minutes (10 minutes for Rapid Rise Yeast).
Divide dough in half. Roll each half to 12 ? 12 ? 10-inch triangle. Roll up from one 12-inch side into loaf, tapering one end to make carrot shape. Pinch seams and ends to seal. Place seam side down on greased baking sheet. With sharp knife, make 4 diagonal slashes on top of each loaf. Cover; let rise until doubled in size, about 30 minutes.
Bake at 375?F for 30 minutes or until done. Remove from sheet and cool on wire racks.
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