The symmetrical die produces curved pasta bacause the dough being pushed out at the edges of the barrel is moving slower than the dough in the centre. The dough is pushed out via the middle, which drages the next "ring" of dough, which drags the next, all the way to the outside edge where the "ring" of dough drags the outer walls, which do not move. The friction here slows down the outer "ring", which slows the next, all the way back to the centre, by less and less each time.
Essentially, the dough moved through like a big paste-like watersnake toy, so the middle moves the fastest and the edges, which are being rolled along the outside of the extrusion tube, don't move at all. The natural result is that the length of the tube closest to the centre is longer than that produced by the outer edge, over the course of the same time, and this causes a curved tube to be made.
Edit - to answer the OP's original question, move the whole die such that one edge of the die is at the edge of the extrusion tube, and the other edge is closer to the centre of the extrusion tube, and the edge closest to the middle will naturally form a longer extrusion of the same thickness, making a curve.