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'Platonic Planet' printed from https://nrich.maths.org/
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!