Fold a Latin Cross into Four Polyhedra

You can fold the Latin cross into a cube. However, what if you ignore the normal fold lines and fold it along new ones, still making sure edges match other edges? As it turns out, you can fold the Latin cross into four different polyhedra: the cube, a tetrahedron, a four-sided pyramid, and an octahedron. (A fifth folding generates a flat quadrilateral.)

Steps

1. Cut out the nets from the pattern.
   
2. Glue the tabs, matching the letters on the tabs with the letters on the edge.
   

References

• (Demaine and O'Rourke 2007, 390-2; 403-4)