This quest had originally been written some years hence, but Aelis hath recently solved it, and did advise me that he enjoyed it immensely.
In time past, Tarquinus did grant his Spell-Document to those that solved this quest, those who solve this puzzle shall be granted mine own Spell-Document, and elegant solutions shall be additionally granted a Wish-Point, or Drachorn Charm (courtesy of Burns).
It seems that the demon of the realm, Mur, hath declared the Realm of MagicDuel to be, as it were, a cube. I imagine, then, that had such a realm originated in different orientation, that Night may be a more common occurrence. Likewise, the cube in which all may come to this realm may resemble, or echo thus, this formation.
I wonder then, if I were to model such an orientation, would a different orientation, and thus, outcome, be possible?
If I were to mark one surface of a cube with an arrow, pointing to the north, with the marked surface facing skyward, such that it were opposite to the surface that doth contact the flat surface, and place such cube on the flat surface, such that it does not, and cannot slide, but roll, and flip over its edges when gently pushed in any of four directions, would it be possible to return the cube, in any number of the aforementioned moves, to the original space that it had occupied, with the difference that this cube must be oriented with the marked surface facing upwards, and the arrow pointing to the East; toward the Tribunal Lands, and Dominion of Mur?
While the answer may be yea or nay, such a solution must come with impeccable logic, and reason, rather than endless tirade. If the answer were yea, a solution, or sequence of moves, shall satisfy, while if the answer were nay, provide impeccable reasoning, or proof, wherefore it were so. I accept proofs or solutions only via private message, either upon the Forum, or within the realm.
A transcription of the Common-Tongue, for the purposes of readability:
"Imagine a cube, marked with an north-pointing arrow on the upper surface, on an infinitely large flat surface. You can roll the cube over any of its edges as many times as you like, but you can't slide it and you can't turn it in place. Is it possible to return the cube to its starting location, except that the arrow is on the upper surface and pointing to the east instead? Either provide a sequence of moves which allows this, or prove why it is not possible."