Challenge Level

How much of the planet's surface can the alien see if she is in the
middle of one of the faces?

What about on one of the edges?

Or at a vertex?

Try to picture a route around the planet either in three dimensions or on a net. Can you be sure every point on the surface is visible from your route? Can you make a more efficient route? Some diagrams might help!

What about on one of the edges?

Or at a vertex?

Try to picture a route around the planet either in three dimensions or on a net. Can you be sure every point on the surface is visible from your route? Can you make a more efficient route? Some diagrams might help!