Megaminx
Solution
by Kurt Endl.

Fast Forward to:
Section 1: The Objectives
Section 2: The Elementary Operations
Section 3: Construction of the North Pole Cap
Section 4: Setting the Northern Equatorial Edges
Section 5: Setting the Northern Equatorial Corners
Section 6: Setting the Middle Equatorial Edges
Section 7: Setting the Southern Equatorial Edges
Section 8: Setting the South Pole Edges
Section 9: Placing the Southern Equatorial Corners
Section 10: Placement of the South Pole Corners
Section 11: Orientation of the Southern Equatorial and South Pole Corners (current)

11. Orientation Of the southern equatorial and South Pole corners

All that remains to be done, is to orient these remaining corners. For this purpose I ofter you two miraculous, rather short operations, which turn two corners at a time "on the spot". Incidentally, these are the same operations, which I used for IMPOSSIBALL! The astonishing feature about these operations is that they do not disturb any edges.

In order to best apply these operations, concentrate on just one of the corners of the pair in question. I advise you to start orienting the southern equatorial corners. The two corners you want to orient must always be brought into the position as indicated in the two following graphs. Hence, if a northern equatorial corner is involved, the South Pole is not any more in the "up" position.

{L**}2 ·

· {R**}2 ·

{R**}2 ·

· {L**}2 ·

Since these operations only turn two corners and leave everything else undisturbed, you can also make a preparatory turn of the South Pole cap. If for instance only one southern equatorial corner and only one South Pole corner remain to be oriented, turn the South Pole cap first to bring the South Pole corner on top of the southern equatorial corner. After having oriented these two corners you just have to turn back the South Pole cap