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What's shown? The pullback to S3 of a
(partial) map of (spinning) planet Earth, via the Hopf fibration
S3→S2, projected down to
R3 by the stereographic projection. Much like
the cheese wheel on the left, a wedge-shape of openning 80o is
cut out of R3. The whole map of Earth can
be seen on both sides of the cut (each in itself, a half-plane),
with an 80o rotation between the sides. For improved
visibility, the full pullbacks of only Canada, China, Italy, Colombia,
and South Africa are shown, and even these are made almost entirely
translucent as they pass through the cut wedge.
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