Voorbeelden van octahedra

• Our strategy is to pack cycles into sequences of linked octahedra.

• We still have a lot of choice as to which octahedra are modified this way.

• For the octahedra this is at most 5.

• We may also have missed at most 34 x 4 squares and triangles when we changed back some octahedra.

• We shall now modify the octahedra in the trail so as to include all the additional edges.

• We shall then pack these trails of octahedra with cycles of arbitrary lengths.

• Octahedra were chosen because they are large enough to allow a wide range of packings by cycles but sufficiently small to analyse these packings.

• Unfortunately, we now need to pack cycles into these modified octahedra, and for very short cycles we shall need to introduce several alternative modifications to the octahedra.