  This paper proposes a family of origami tessellations called extruded
Miura-Ori, whose folded state lies between two parallel planes with some faces
on the planes, potentially useful for folded core materials because of face
bonding. An extruded Miura-Ori is obtained by cutting Miura-Ori apart along the
edges and face diagonals before inserting the extrusion of the section edges.
We compute the extrusion direction to obtain a valid extruded Miura-Ori. The
extruded Miura-Ori usually has three valid states. We analyse the third state
(final folded state) in depth to show that a continuous family of parameters
can produce origami tessellations that can completely tile the top and bottom
planes.
