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Heat oven to 350 degrees. Butter and flour two 9-inch round cake pans.
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Process nuts, flour, sugar, and salt in food processor with on/off pulses until nuts are ground to powder. Pour in butter; process with pulses until well blended.
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Divide dough in half and press firmly and evenly in pans. Cut each circle into 12 wedges.
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Bake until set and very pale tan, 20-23 minutes. Transfer to wire rack. Recut wedges and let cool slightly.
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Place plate slightly smaller than cake pans directly on each shortbread. Carefully invert and remove pans.
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Heat chocolate and shortening in top of double boiler over simmering water until smooth and shiny. Pour into narrow cup about 3 to 4 inches deep.
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Dip tip of each wedge into warm chocolate. Place on wire rack to cool until chocolate sets. Store in airtight containers.