Unrolling a Cylinder

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This Demonstration shows the unrolling of a cylinder with a printed photograph inside.

Contributed by: Erik Mahieu (October 2015)
Open content licensed under CC BY-NC-SA

Snapshots

A cylinder with radius 1 is tangent to the plane at the line that is the intersection of the two planes and .

Points on the cylinder have coordinates .

Unrolling a point from the cylinder to the plane gives rise to the map

where is the angular position of the point on the cylinder, and is the unrolling angle of the cylinder to the plane.


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