An optical switch globally minimizes maximum tilt angles used to route optical
signals from input to output by disposition of an input array of first tiltable
micromirrors within a first boundary typically having top-bottom reflection symmetry
and left-right reflection symmetry and by disposition of an output array of second
tiltable micromirrors within a second boundary a symmetry which matches the symmetry
for the input array, the output array and the input array being disposed opposing
one another and normal to parallel central axes and further being offset from one
another in the plane of the normals to the arrays, so that a collimated beamlet
impinging on the center the input array and reflected off at an equivalent angle
intersects the output array at an offset.