Diabolical Corner Joint

The flared ends of the dovetail pins mean this corner joint can't disassemble the traditional way. And no evidence of a sliding joint appears on the back side, so it can't go together like the double-dovetailed tenon in the previous joint.

The secrets are dovetails that slope at three different angles and sockets with coved shoulders (Figs. C and D). They allow the boards to slide together in line and then rotate 90° to form the corner. For the record, the dovetails on the outside face of Piece A match the sockets on the end of Piece B, the dovetail ends on the end of A match the sockets on the outside face of B, and the dovetails on the inside face of

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Assemble this joint in two steps. First, with both pieces oriented outside-face out, slide Piece B into Piece A from the back. When the pieces are flush, the dovetails on the outside faces won't fit.
Carefully rotate the pieces to complete the joint. Bear the inside corners of A against the shoulders of B as you rotate.

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A match the sockets on the inside face of B.The coved sockets in A provide clearance for the outside corner of B as the boards pivot.

Make the pieces

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