Projecting Graphs of Real-Valued Functions of a Real Variable to the Riemann Sphere

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This Demonstration projects the graph of the real-valued function (blue) to a curve (pink) on a Riemann sphere. The Riemann sphere's south pole is zero and its north pole is infinity; it is tangent at its south pole to the - plane at the origin. You can hide the plane and projection line from the graph to the curve with "sphere only".

Contributed by: Chris Dock (February 2013)
Open content licensed under CC BY-NC-SA



Snapshot 1: projection of the graph of

Snapshot 2: projection of the graph of

Snapshot 3: projection of the graph of

Snapshot 4: projection of the graph of

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