In a room, there is a spherical crystal that magically inverts any object placed inside it. Kyoko places a cube with an arrow on one face pointing up inside the crystal. Kyoko is now on the north side of the sphere looking through the crystal towards the south side where the cube sits. Ignoring how light actually behaves, assuming the cube looks the same otherwise to Kyoko, what direction does the arrow appear to point to Kyoko? Respond very briefly.
When Kyoko looks at the cube through the magical spherical crystal, the unique property of the crystal inverts the cube. This means that the crystal creates a mirror image of the cube along all axes. Since Kyoko is looking from the north side of the sphere to the south where the cube is located, the arrow that was originally pointing up will now appear to point down to her. The inversion makes the south-north orientation switch and, since the arrow was pointing upward, this top-bottom inversion results in the arrow now pointing downward. Thus, to Kyoko, the direction of the arrow now appears to point down through the crystal.