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A Conformal Projection: Stereographic Mapping

A Conformal Type: The Stereographic Projection

A type of conformal projection is the Stereographic map, which maps most of the points of a sphere onto a plane. See an example of the stereographic map of earth below. Try play with the applet below to learn some new facts.

Question: "Stereographic"-Definedness

Play with the applet by dragging the points around. We said "most" points of the sphere get mapped. Which ones aren't defined on the plane?

Image

Question: Lost Properties (Stereographic)

Which of three (distance, area, angles) would get distorted here?

Question: Retained Properties (Stereographic)

Which of the three would get preserved?

Question: Mercator vs. Stereographic Maps

What are some advantages of the Stereographic Projection to the Mercator? What are disadvantages?