Run the openscad script, and export the results as a dxf file. YOu may want to adjust the layout of the file before cutting. The script lays out two rows of shapes, one row for each slice orientation. The parts are in placed in order.

If you don't want to use openscad, (I recommend using the current dev snapshot for this script), I also included the dxf file for the sphere in the picture. It is made from Office Depot neon poster board, which is about .3mm thick. The thickness in the openscad accounts for the laser cutter
s kerf of about .1mm.

The form that is sliced is defined in form(). Right now it is a sphere. I expected the output to be symmetric, but it isn't. I'm wondering if the openscad sphere primitive isn't perfectly asymmetrical. Now that the sphere is working, I will probably try a more complex form.

The script assumes that the form is centered on the origin. The meeting point for the cuts will be on the x=0 or y=0 plane.

I would like to find a way to label the slices to make keeping them in order easier, but there is no 2d text primitive in openscad, and there is no way to put something on another layer of the outputed dxf.