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

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

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


Snapshots


Details

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



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send